·
N. BELLOMO, A. PALCZEWSKI, G. TOSCANI
Mathematical Topics in Nonlinear Kinetic Theories, World Scientific, Singapore
(1988), pg. IX + 226
·
N. BELLOMO, M. LACHOWICZ, J. POLEWCZAK,
G. TOSCANI Mathematical Topics in Nonlinear Kinetic Theory II: The Enskog
Equation, World Scientific, Singapore (1991), pg. X + 207
·
L. PARESCHI, G.
TOSCANI, Interacting Multiagent Systems: Kinetic Equations and Monte Carlo
Methods, Oxford University Press, Oxford (2014), pg. XII + 376
·
G. TOSCANI , V. BOFFI, S. RIONERO Eds.
Mathematical Aspects of Fluid and Plasma Dynamics, Lecture Notes in
Mathematics n.1460, Springer Verlag, Berlin (1991), pg. 221
·
V.
BOFFI, F. BAMPI, G. TOSCANI Eds. Nonlinear
Kinetic Theory and Mathematical Aspects of Hyperbolic Systems, World
Scientific, Singapore (1992) pg. XI + 267
·
G. TOSCANI, Guest Editor Transport
Theory and Statistical Physics Special
Issue devoted to the Proceedings of the Second International Workshop on
Nonlinear Kinetic Theories and Mathematical Aspects of Hyperbolic Systems 25
, n. 3-5 (1996) 263-592
·
L.
PARESCHI, G.RUSSO, G.TOSCANI Eds. Modelling
and Numerics of Kinetic Dissipative Systems, Nova Science Publishers, New York,
(2005) pg. II + 230
·
G.TOSCANI Ed. Kinetic Methods for
Nonconservative and Reacting Systems, QM n.16, Aracne Editrice, Roma, (2005)
pg. 331
·
G.NALDI,
L.PARESCHI, G.TOSCANI Eds. Mathematical
Modeling of Collective Behavior in Socio-Economic and Life Sciences,
Birkhauser, Boston (2010) pg. X + 435
· G.
Bertaglia, A. Bondesan, D. Burini, R. Eftimie, L. Pareschi, G. Toscani. New trends on the systems approach to modeling
SARS-CoV-2 pandemics in a globally connected planet. Math. Models Methods Appl.
Sci. (In press) (2024) Download
· P. Giudici,
E. Raffinetti, G. Toscani. Measuring
multidimensional inequality: a new proposal based on the Fourier transform.
(Preprint) (2024) Download
· G.
Bertaglia, L. Pareschi, G. Toscani. Modelling
contagious viral dynamics: a kinetic approach based on mutual utility. Mathematical
Biosciences and Engineering, 21 (3)
4241-4268 (2024) Download
· G. Toscani. Measuring multidimensional heterogeneity
in emergent social phenomena. European Journal of Applied Mathematics (In
press) (2024) Download
· A.
Bondesan, G. Toscani, M. Zanella. Kinetic
compartmental models driven by opinion dynamics: vaccine hesitancy and social
influence. Math. Models Methods Appl.
Sci. (In press) (2024) Download
· F. Auricchio, M. Carraturo, G. Toscani, M. Zanella,
Impact of interaction forces in first-order many-agent systems for swarm
manifacturing. Discrete and Continuous Dynamical Systems - Series S (2023) Download
· F.
Auricchio, G. Toscani, M. Zanella, Trends to equilibrium for a nonlocal
Fokker-Planck equation. Applied Mathematics Letters, 145, 108746 (2023) Download
·
G.
Toscani, M. Zanella, On a kinetic description of Lotka-Volterra dynamics.
(Preprint) (2023) Download
· G. Toscani, One-dimensional Barenblatt-type solutions
and related inequalities. Ricerche di Matematica 73 (Suppl.1) 309-321 (2023) Download
·
L.
Pareschi, G. Toscani, The kinetic theory of mutation rates. Axioms, 12; 265
(2023) Download
·
G.
Toscani, A multi-agent description of social phenomena with lognormal
equilibria. In P. Barbante et al. (eds.), From
Kinetic Theory to Turbulence Modeling, Springer INdAM Series 51, Springer
Nature, Singapore. pp. 261-270
(2023) Download
·
F. Auricchio, G. Toscani, M. Zanella,
Fokker-Planck modeling of many-agent systems in swarm manifacturing: asymptotic
analysis and numerical methods. Commun. Math. Sci. 21 (6) 1655-1677 (2023) Download
·
S.
Gualandi, G. Toscani, E. Vercesi, A kinetic description of the body size distributions of species. Math.
Models Methods Appl. Sci. 32 (14)
2853–2885 (2022) Download
·
G.Toscani,
A multi-agent approach to the impact of epidemic spreading on commercial
activities. Math. Models Methods Appl. Sci. 32 (10) 1931-1948 (2022) Download
·
G.
Toscani, On Fourier-based inequality measures. Entropy 24; 1393 (2022) Download
·
G.
Toscani, P. Sen, S. Biswas, Kinetic exchange models of societies and economies.
Phil. Trans. R. Soc. A 380, 20210170 (2022) Download
·
E.
Bernardi, L. Pareschi, G. Toscani, M. Zanella, Effects of
vaccination efficacy on wealth distribution in kinetic epidemic
models. Entropy, 24; 216 (2022) Download
·
G.
Dimarco, G. Toscani, M. Zanella, A multi-agent description of the influence of
higher education on social stratification. Journal of Economic Interaction & Coordination (JEIC) https://doi.org/10.1007/s11403-022-00358-5 (2022) Download
·
G. Albi, G. Bertaglia, W. Boscheri, G. Dimarco, L. Pareschi, G.
Toscani, M. Zanella. Kinetic modelling
of epidemic dynamics: social contacts, control with uncertain data, and
multiscale spatial dynamics. pp. 43-108 In: Bellomo, N., Chaplain, M.A.J.
(eds) Predicting Pandemics in a Globally
Connected World, Volume 1. Modeling and Simulation in Science, Engineering
and Technology. Birkhäuser, Cham 2022 Download
·
G.
Dimarco, G. Toscani, M. Zanella, Optimal control of epidemic spreading in
presence of social heterogeneity. Phil. Trans. R. Soc. A 380, 20210160 (2022) Download
·
G.
Furioli, A. Pulvirenti, E. Terraneo, G. Toscani, Fokker-Planck equations and
one-dimensional functional inequalities for heavy tailed densities, Milan J.
Math., 90, 177–208 (2022) Download
· L.
Pareschi, G. Toscani, Dinamiche sociali ed equazioni alle derivate parziali in
ambito epidemiologico. Matematica Cultura e Società, Serie I, Vol. 6 n.3 (2021) Download
· G. Toscani, M. Zanella, On a class of Fokker-Planck
equations with subcritical confinement. Rend. Lincei Mat. Appl. 32 (3) 471-497
(2021) Download
·
M.Azzi, C.
Bardelli, S. Deandrea, G. Dimarco, S. Figini, P. Perotti, G. Toscani, M.
Zanella, A data-driven epidemic model with social structure for understanding
the COVID-19 infection on a heavily affected Italian Province. Math. Models
Methods Appl. Sci. 31 (12) 2533-2570 (2021) Download
·
M.
Zanella, C. Bardelli, M.Azzi, S. Deandrea, P. Perotti, S. Silva, E. Cadum, S.
Figini, G. Toscani, Social contacts, epidemic spreading and health system.
Mathematical modeling and applications to COVID-19 infection, Mathematical
Biosciences and Engineeering, 18 (4) 3384-3403 (2021) Download
· G. Toscani, Entropy-type inequalities for generalized
Gamma densities. Ricerche di Matematica, 70, 35-50 (2021) Download
· L. Preziosi, G. Toscani, M. Zanella, Control of tumour
growth distributions through kinetic methods. Journal of Theoretical Biology
514, 110579 (2021) Download
·
G.
Dimarco, B. Perthame, G. Toscani, M. Zanella, Kinetic models for epidemic
dynamics with social heterogeneity. Journal of Mathematical Biology, 83 n. 4
(2021) Download
· G. Toscani, Statistical description of human addiction
phenomena. In Trails in Kinetic Theory: foundational aspects and numerical
methods, A. Nota, G. Albi, S. Merino-Aceituno, M. Zanella Eds, SEMA SIMAI
Springer Series Vol. 25, 209-226 (2021) Download
·
E. Ballante, C. Bardelli, M. Zanella, S. Figini, G. Toscani. Economic Segregation Under the Action of Trading
Uncertainties, Symmetry, 12, 1390 (2020) Download
· G.
Auricchio, A. Codegoni, S. Gualandi, G. Toscani, M. Veneroni. On the equivalence between Fourier-based and
Wasserstein metrics. Rend. Lincei Mat. Appl. 31, 627-649 (2020) Download
· G. Dimarco, L.Pareschi, G. Toscani, M. Zanella, Wealth
distribution under the spread of infectious diseases. Phys. Rev. E, 102, 022303
(2020) Download
· G.
Dimarco, G. Toscani, Social climbing and Amoroso distribution. Math. Models Methods Appl. Sci. 30 (11) 2229-2262
(2020) Download
· G. Toscani, A. Tosin, M. Zanella, Kinetic modelling of
multiple interactions in socio-economic systems. Netw. Heterog. Media, 15, (3)
519-542 (2020) Download
· G. Furioli, A. Pulvirenti, E. Terraneo, G. Toscani,
Non-Maxwellian kinetic equations modeling the evolution of wealth distribution.
Math. Models Methods Appl. Sci. 30 (4) 685-725 (2020) Download
· G. Furioli, A. Pulvirenti, E. Terraneo, G. Toscani,
Wright-Fisher-type equations for opinion formation, large time behavior and
weighted logarithmic-Sobolev inequalities. Ann. IHP, Analyse Non Linéaire 36,
2065-2082 (2019) Download
· G. Toscani, A. Tosin, M. Zanella, Multiple-interaction
kinetic modelling of a virtual-item gambling economy. Phys. Rev. E, 100, 012308
(2019) Download
· G. Dimarco, G. Toscani, Kinetic modeling of alcohol
consumption. J. Stat. Phys. 177,1022–1042 (2019) Download
·
L.
Pareschi, G. Toscani, A. Tosin, M. Zanella, Hydrodynamics models of preference
formation in multi-agent societies. J. Nonlinear Science, 29 (6), 2761-2796
(2019) Download
· G.Toscani, The information-theoretic meaning of
Gagliardo-Nirenberg type inequalities. Rend. Lincei Mat. Appl. 30, 237–253
(2019) Download
· S. Gualandi, G. Toscani, Human behavior and lognormal
distribution. A kinetic description. Math. Models Methods Appl. Sci. 29, (4)
717-753 (2019) Download
· S. Gualandi, G. Toscani, The size distribution of
cities: A kinetic explanation. Physica A, 524, 221-234 (2019) Download
· G. Toscani, Poincaré-type inequalities for stable
densities. Ricerche Mat. 68 (1) 225–236 (2019) Download
· G. Toscani, A. Tosin, M. Zanella, Opinion modeling on
social media and marketing aspects, Phys. Rev. E,
98, 022315 (2018) Download
· B. Duering, L. Pareschi, G. Toscani, Kinetic models
for optimal control of wealth inequalities. Eur. Phys. J. B 91: 265 (2018) Download
· S. Gualandi, G. Toscani, Call center service times are
lognormal. A Fokker--Planck description. Math. Models Methods Appl. Sci. 28,
(08) 1513-1527 (2018) Download
· S. Gualandi,
G. Toscani, Pareto tails in socio-economic phenomena: A kinetic description. Economics: The Open-Access, Open-Assessment E-Journal, 12 (2018-31): 1–17. Download
·
C. Brugna,
G.Toscani, Kinetic models for goods exchange in a multi-agent market, Physica A
499 362–375 (2018) Download
· M. Torregrossa, G.Toscani, Wealth distribution in
presence of debts. A Fokker-Planck description, Commun. Math. Sci. 16 (2)
537-560 (2018) Download
· G. Toscani, A Rosenau-type approach to the
approximation of the linear Fokker-Planck equation, Kinet. Relat. Models 11
(4)697-714 (2018) Download
· M. Torregrossa, G.Toscani, On a Fokker-Planck equation
for wealth distribution, Kinet. Relat. Models 11(2)337-355 (2018) Download
· G.Toscani, Continuum models in wealth distribution, Atti
Accad. Naz. Lincei Rend. Lincei Mat. Appl.28 451–461 (2017) Download
·
G.
Toscani, Score functions, generalized relative Fisher information and
applications, Ricerche mat. 66 15-26 (2017) Download
· G. Furioli, A. Pulvirenti, E. Terraneo, G. Toscani,
Fokker--Planck equations in the modelling of socio-economic phenomena, Math.
Models Methods Appl. Scie. 27 (1) 115-158 (2017) Download
· G. Albi, L. Pareschi, G. Toscani, M. Zanella, Recent
advances in opinion modeling: Control and social influence. In “Active
Particles, Volume 1: Theory, Models, Applications” N. Bellomo, P. Degond, E.
Tadmor, Eds. Ch.2, pp. 49-98. Birkhäuser Boston (2017) Download
·
G.
Toscani, Diffusion equations and entropy inequalities, (Lectures at Ravello’s
School) (2016) Download
· G. Toscani, Kinetic and mean field description of
Gibrat’s law. Physica A, 461 802-811 (2016) Download
· G.
Toscani, Sulle code di potenza di Pareto, La Matematica nella Società e nella
Cultura, Serie I, 1 21-30 (2016) Download
· G. Toscani, Entropy inequalities for stable densities
and strengthened central limit theorems, J. Stat. Phys., 165 371–389 (2016) Download
·
G.Toscani,
The fractional Fisher information and the central limit theorem for stable
laws, Ricerche Mat., 65 (1) 71-91 (2016) Download
· J. Dolbeault, G. Toscani, Nonlinear diffusions:
extremal properties of Barenblatt profiles, best matching and delays,
NonlinearAnal. Series A,138 31-43 (2016) Download
· J.A.
Carrillo, M. Di Francesco, G. Toscani, Condensation phenomena in nonlinear
drift equations, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XV 145-171 (2016)
Download
· C. Brugna, G. Toscani, Kinetic models of opinion
formation in the presence of personal conviction, Phys. Rev. E92, 052818
(2015) Download
·
G.
Toscani, A strengthened entropy power inequality for log-concave densities,
IEEE Transactions on Information Theory 61 (12) 6550-6559 (2015) Download
· J. Dolbeault, G. Toscani, Stability results for
logarithmic Sobolev and Gagliardo-Nirenberg inequalities, Int. Math. Res.
Notices rnv 131 (2015) Download
· F. Bassetti, G. Toscani, Mean field dynamics of
collisional processes with duplication, loss and copy, Math. Mod. Meth. Appl.
Sci. 25 (10) 1887-1925 (2015) Download
· C. Brugna, G. Toscani, Boltzmann-type models for price
formation in the presence of behavioral aspects, Netw. Heterog. Media 10 (3)
543-557 (2015) Download
·
G.
Toscani, A concavity property for the reciprocal of Fisher information and its
consequences on Costa's EPI, Physica A, 432 35-42 (2015) Download
· G. Furioli, A. Pulvirenti, E. Terraneo, G. Toscani, On
Rosenau-Type approximations to fractional diffusion equations, Commun. Math.
Sci. 13 (5) 1163-1191 (2015) Download
· J. Dolbeault, G. Toscani, Best matching Barenblatt
profiles are delayed, J. Phys. A: Math. Theor. 48 065206 (2015) Download
·
J.A.
Carrillo, G. Toscani, Renyi entropy and improved equilibration rates to
self-similarity for nonlinear diffusion equations, Nonlinearity, 27, 3159-3177
(2014) Download
·
F.
Bassetti, G. Toscani, Explicit equilibria in bilinear kinetic models, Esaim:
Proceedings and Surveys, 47 1-16 (2014) Download
·
L.
Pareschi, G. Toscani, Wealth distribution and collective knowledge. A Boltzmann
approach, Phil. Trans. R. Soc. A 372, 20130396, 6 October (2014) Download
· G. Toscani, Rényi entropies and nonlinear diffusion
equations, Acta. Appl. Math., 132 595–604 (2014) Download
·
G.
Toscani, Heat equation and convolution inequalities, Milan J. Math., 82 (2)
183-212 (2014)
·
G. Savaré,
G. Toscani, The concavity of Renyi entropy power, IEEE Transactions on
Information Theory, 60 (5) 2687-2693 (2014) Download
· G. Toscani, A kinetic description of mutation
processes in bacteria, Kinet. Relat. Models, 6 (4) 1043-1055 (2013) Download
· T. Rey, G. Toscani, Large-time behavior of the
solutions to Rosenau type approximations to the heat equation, SIAM J. Appl.
Math. 73 (4), 1416-1438 (2013) Download
·
G.
Toscani, C. Brugna, S. Demichelis, Kinetic models for the trading of goods, J
Stat Phys, 151, (2013) 549-566 Download
·
J.
Dolbeault, G. Toscani, Improved interpolation inequalities, relative entropy
and fast diffusion equations, Ann. I.H. Poincaré – AN, 30 (5) 917-934 (2013) Download
· G. Toscani, An information-theoretic proof of Nash's
inequality, Rend. Lincei Mat. Appl., 24, (2013) 83-93 Download
· G. Toscani, Lyapunov functionals for the heat equation
and sharp inequalities, Atti Acc. Peloritana Pericolanti, Classe Sc.
Fis. Mat. e Nat., 91, 1-10, (2013) Download
· D. Matthes, G. Toscani, Variation on a theme by
Bobylev and Villani, C.R.Acad.Sci. Paris, Ser. I, 350 (1-2) (2012) 107-110
Download
· G.
Furioli, A. Pulvirenti, E. Terraneo, G. Toscani, The grazing collision limit of
the inelastic Kac model around a Lévy-type equilibrium. SIAM J. Math. Anal. 44,
827-850 (2012) Download
· G. Toscani, Finite time blow up in Kaniadakis-Quarati
model of Bose-Einstein particles. Comm. Part. Diff. Eqns. 37 (1)
(2012) 77-87 Download
·
S.
Fornaro, S. Lisini, G. Savaré, G. Toscani, Measure valued solutions of
sub-linear diffusion equations with a drift term, Discrete and Continuous
Dynamical Systems A., 32 (5) 1675-1707 (2012) Download
· G. Toscani, N. Ben Abdallah, I. M. Gamba, On the
minimization problem of sub-linear convex functionals. Kinetic
and related Models, 4 (4), (2011) 857-871 Download
· J. Dolbeault, G. Toscani, Fast diffusion equations:
Matching large time asymptotics by relative entropy methods. Kinetic
and related Models 4 (2011) 701-716 Download
· F. Bassetti, L. Ladelli, G. Toscani: Kinetic models
with randomly perturbed binary collisions. J. Statist. Phys. 142
(4) (2011) 686-709 Download
·
T.
Allemand, G. Toscani, The grazing collision limit of Kac caricature of
Bose-Einstein particles, Asymptotic Analysis, 72 (3-4) (2011) 201-229 Download
· D. Matthes, A. Juengel, G.Toscani, Convex Sobolev
inequalities derived from entropy dissipation, Arch. Rat. Mech.
Anal. 199 (2) (2011) 563-596 Download
·
M.
Fornasier, J. Haskovec, G. Toscani, Fluid dynamic description of flocking via
Povzner–Boltzmann equation, Physica D 240 (2011) 21-31 Download
· F.
Bassetti, G. Toscani, Explicit equilibria in a kinetic model of gambling, Phys.
Rev. E, 81, 066115 (2010) Download
· J. A. Carrillo, M. Fornasier, G. Toscani, F. Vecil,
Particle, Kinetic, and Hydrodynamic Models of Swarming, in Mathematical
Modeling of Collective Behavior in Socio-Economic and Life Sciences, G. Naldi,
L. Pareschi and G. Toscani Eds. Birkhauser, Boston (2010) 297-336 Download
·
D.
Matthes, G. Toscani, Propagation of Sobolev regularity for a class of random
kinetic models on the real line, Nonlinearity 23 (2010) 2081-2100 Download
· R. Duan, M. Fornasier, G. Toscani, A kinetic flocking
model with diffusion, Commun. Math. Phys. 300, (2010) 95–145 Download
· C. Brugna, G. Toscani, Wealth redistribution in
Boltzmann-like models of conservative economies, in Econophysics &
Economics of Games, Social Choices and Quantitative Techniques, B. Basu, B.K.
Chackabarti, S.R. Chackavarty, K. Gangopadhyay (Eds.) Springer
Verlag, Milan (2010) 71-82 Download
·
G.
Furioli, A. Pulvirenti, E. Terraneo, G. Toscani, Convergence to self-similarity
for the Boltzmann equation for strongly inelastic Maxwell molecules, Annales de
l'Institut Henri Poincaré (C) Analyse Non Linéaire, 27, (2) (2010) 719-737 Download
· J.A. Carrillo, M. Fornasier, J. Rosado, G. Toscani,
Asymptotic flocking dynamics for the kinetic Cucker-Smale model, SIAM J. Math. Anal. 42,
(1) (2010). 218-236 Download
·
G.
Toscani, Wealth redistribution in conservative linear kinetic models with
taxation, Europhysics Letters 88 (1) (2009) 10007 Download
· M. Bisi, G. Spiga, G. Toscani, Kinetic models of
conservative economies with wealth redistribution, Commun. Math. Sci.
7 (4) (2009) 901-916 Download
· B. Duering, D. Matthes, G.Toscani, A Boltzmann-type
approach to the formation of wealth distribution curves, (Notes of the Porto
Ercole School, June 2008) Riv. Mat. Univ. Parma (1) 8 (2009) 199-261 Download
· G. Furioli, A. Pulvirenti, E. Terraneo, G. Toscani,
Strong Convergence towards self-similarity for one-dimensional dissipative
Maxwell models, J. Funct. Anal. 257 (7) (2009) 2291-2324 Download
·
V.
Comincioli, L. Della Croce, G. Toscani, A Boltzmann-like equation for choice
formation, Kinetic and related Models 2 (1) (2009) 135- 149 Download
·
J.A.
Carrillo, S. Cordier, G. Toscani, Over-populated tails for
conservative-in-the-mean inelastic Maxwell models, Discrete and Continuous
Dynamical Systems A. 24 (1) (2009) 59-81 Download
·
F.
Salvarani, G. Toscani, The diffusive limit of Carleman-type models in the range
of very fast diffusion equations, J.Evol.Equ. 9 (2009) 67-80 Download
· B. Duering, G.Toscani, International and domestic
trading and wealth distribution, Commun. Math. Sci. 6 (4) (2008) 1043-1058 Download
· B. Duering, D. Matthes, G.Toscani, Kinetic Equations
modelling Wealth Redistribution: A comparison of Approaches, Phys. Rev. E,
78, (2008) 056103 Download
·
M. Bisi,
G. Spiga, G. Toscani, On the hydrodynamic closure of a transport-diffusion
equation, Europhysics Letters 83, (2008) 40007 Download
·
B. Lods,
C. Mouhot, G. Toscani, Relaxation rate, diffusion approximation and Fick's law
for inelastic scattering Boltzmann models, Kinetic and related Models, 2 (2008)
223-248 Download
·
B.
Duering, D. Matthes, G.Toscani, Exponential and algebraic relaxation in kinetic
models for wealth distribution, in Proceedings WASCOM 2007 N. Manganaro, R.
Monaco, S. Rionero Eds., World Scientific, Singapore 2008, 228-238 Download
· G.
Toscani, Funzionali entropia ed equilibrio di sistemi di molte particelle,
Bollettino UMI serie IX, Vol. 1 (3) (2008), 509-524 Download
·
G.
Toscani, Hydrodynamics from the dissipative Boltzmann equation, in
"Mathematical models of granular matters" G. Capriz, P. Giovine and
P. M. Mariano Editors, Lecture Notes in Mathematics n.1937 (2008) 59-75 Download
· U. Gianazza, G. Savaré, G. Toscani, The Wasserstein
gradient flow of the Fisher information and the quantum drift-diffusion
equation, Arch. Rat. Mech. Anal. 194, (1) (2009) 133-220 Download
·
D.
Matthes, G.Toscani, Analysis of a model for wealth redistribution, Kinetic and
related Models, 1 (2008), 1-22 Download
· D. Matthes, G. Toscani, On steady distributions of
kinetic models of conservative economies, J. Statist. Phys., 130
(2008) 1087-1117 Download
· J.A. Carrillo, G. Toscani, Contractive probability
metrics ans asymptotic behavior of dissipative kinetic equations (Notes of the
Porto Ercole School, June 2006) Riv. Mat. Univ. Parma, (7) 6, (2007) 75-198 Download
· J.A. Carrillo, M. Di Francesco, G. Toscani, Strict
Contractivity of the 2-Wasserstein distance for the porous medium equation by
mass-centering, Proc. Amer. Math. Soc. 135 (2007), 353-363 Download
·
B.
Duering, G. Toscani, Hydrodynamics from kinetic models of conservative
economies, Physica A: Statistical Mechanics and its Applications, 384 (2007)
493-506 Download
· M.J. Càceres, G. Toscani, Kinetic approach to long
time behavior of linearized fast diffusion equations, J. Statist. Phys., 128
(4) (2007) 883-925 Download
·
G. Aletti,
G. Naldi, G. Toscani, First-order continuous models of opinion formation, SIAM
J. Appl. Math., 67 (3) (2007) 837-853 Download
· G. Toscani, Kinetic models of opinion formation,
Commun. Math. Sci. 4 (3) (2006) 481-496 Download
·
M. Bisi,
J.A. Carrillo, G. Toscani, Decay rates in probability metrics towards
homogeneous cooling states for the inelastic Maxwell model, J. Statist.Phys.,
124 (2-4) (2006) 625-653 Download
· L. Pareschi, G. Toscani, Self-similarity and
power-like tails in nonconservative kinetic models, J. Statist. Phys. 124
(2-4) (2006) 747-779 Download
· L. Gosse,
G. Toscani, Lagrangian numerical approximations to one-dimensional
convolution-diffusion equations, SIAM J. Sci. Comput., 28 (4) (2006) 1203-1227 Download
· M.P.Gualdani, A. Juengel, G.Toscani, A nonlinear
fourth-order parabolic equation with nonhomogeneous boundary conditions, SIAM
J. Math. Anal., 37 (6) (2006) 1761-1779 Download
· L. Gosse, G. Toscani, Identification of asymptotic
decay to self-similarity for one-dimensional filtration equations, SIAM J.
Numer. Anal., 43 (6) (2006) 2590-2606 Download
· J.A. Carrillo, M. Di Francesco, G. Toscani,
Intermediate asymptotics beyond homogeneity and self-similarity: long time
behavior for nonlinear diffusions, Arch. Ration. Mech. Anal., 180 (1)
(2006) 127-149 Download
·
S.
Cordier, L. Pareschi, G. Toscani, On a kinetic model for a simple market
economy, J. Statist. Phys., 120 (2005) 253-277 Download
· M.J. Càceres, J.A. Carrillo, G.Toscani, Long-time behavior
for a nonlinear fourth order parabolic equation, Trans. Amer.
Math. Soc. 357 (2005) 1161-1175 Download
· M. Bisi,
J.A. Carrillo, G. Toscani, Contractive Metrics for a Boltzmann equation for
granular gases: Diffusive equilibria, J. Statist. Phys., 118 (1-2) (2005)
301-331 Download
· F. Filbet, L. Pareschi, G. Toscani, Accurate numerical
methods for the collisional motion of (heated) granular flows, J. Comput. Phys. 202,
(1) ( 2005) 216-235 Download
·
B. Lods,
G. Toscani, Long time behavior of non--autonomous Fokker--Planck equations and
the cooling of granular gases., Ukrainian Math. J., 57 (6) 778-789 (2005) Download
· F. Salvarani, G. Toscani, Large-time asymptotics for
nonlinear diffusions: the initial-boundary value problem, J. Math. Phys. 46,
023502 (2005) (11 pages) Download
·
G.
Toscani, A central limit theorem for solutions of the porous medium equation,
J. Evol. Equ. 5 (2005) 185-203 Download
· J.A. Carrillo, G. Toscani, Wasserstein metric and
large-time asymptotics of nonlinear diffusion equations, in New trends in
mathematical physics, World Sci. Publ., Hackensack, NJ, (2004)
234–244. Download
Old
Papers
1. F.Barbaini,
G.Toscani, Costruzione di misure mediante tempi d'arresto, Rend. Ist. Lombardo,
1(A) 109, (1975) 49-64
2. I.Guarneri,
G.Toscani, Statistical equilibrium of a classical, randomly driven radiating
system, Lett.Nuovo Cimento 14, n.3, serie 2 (1975) 101-107
3. I.Guarneri,
G.Toscani, Stochastic electrodynamics of a one-dimensional cavity, Bollettino
UMI 1(5) 14-B (1977) 31-41
4. C.Bertoluzza,
G.Toscani, Caratterizzazione della legge di composizione d'esperienza per
misure d'informazione idempotenti, Rend. Ist. Lombardo 1(A) 112 (1978) 99-109
5. C.Bertoluzza,
G.Toscani, Diramativit`a generalizzata e leggi di composizione in teoria
dell'informazione, Rend. Ist. Lombardo 1(A) 113 (1979) 84-91
6. E.Gabetta,
G.Toscani, Multiple random scattering in one dimension, Bollettino UMI 1(5)
17-B (1980) 1047-1062
7. G.Toscani, An approach to white-noise via wide-sense
stationary processes with piecewise constant sample functions, Bollettino UMI
118-A (1981) 309-315
8. E.Gabetta, G.Toscani, Stochastic stability of a class
of linear dynamical systems, Rend. Sem. Mat.Univ. Polit. Torino 40 (2) (1981)
53-62
9. G.Toscani, Products of independent random processes
and gaussian white-noise, Rend. Sem. Mat.Univ. Polit. Torino, Special Issue
(1982) 233-239
10. G.Toscani, Sums of independent random processes,
Bollettino UMI 1(6) 1-A (1982) 241-248
11. G.Toscani, Random motion of a perfectly inelastic
particle, Atti VI Congr. Naz. AIMETA, Genova (1982), 1, 268-276
12. G.Toscani,
Solution globale du modele a vitesse discrète de l'équation de Boltzmann en
théorie cinetique, C.R.A.S. t.296 Serie 1 (1983) 577-580
13. G.Toscani, On the discrete velocity models of the
Boltzmann equation in several dimensions, Ann.Matem. Pura Appl. Vol.CXXXVIII
(1984) 279-308
14. N.Bellomo,
R.Illner, G.Toscani, Sur le problème de Cauchy pour l'équation de Boltzmann
semi-discrète, C.R.A.S. t.299, Serie I (1984) 835-839
15. G.Toscani, On the semidiscrete Boltzmann equation,
Atti VII Congr. Naz. AIMETA, Trieste (1984), 1, 85-89
16. N.Bellomo, G.Toscani, On the Cauchy problem for the
nonlinear Boltzmann equation:global existence,uniqueness, and asymptotic
behaviour, J. Math.Phys. 12 (1985) 340-345
17. G.Toscani, On the asymptotic behaviour and stability
of the solution for the Broadwell model of the Boltzmann equation in three
dimensions, Math.Meth. in Appl. Sc. 17 (1985) 340-345
18. G.Toscani, Diffusion with collision of a perfectly
inelastic particle, Bollettino UMI 1(6) 4-B (1985) 801-812
19. G.Toscani, Global existence and asymptotic behaviour
for the discrete velocity models of the Boltzmann equation, J. Math.Phys. 111
(1985) 2918-2921
20. G.Toscani, N.Bellomo Global existence, uniqueness and
stability of the nonlinear Boltzmann equation with almost general gas-particle
interaction potential, Rend.Circolo Matem. Palermo, Suppl. Serie II, n.8 (1985)
419-433
21. G.Toscani, The semidiscrete Boltzmann equation for
hard-spheres, Meccanica 120 (1985) 249-252
22. G.Toscani, Global existence and asymptotic behaviour
for the discrete velocity models of the Boltzmann equation, Quaderni del CNR,
GNFM Proceedings of Workshop on Mathematical Aspects of Fluid and Plasma
Dynamics, C.Cercignani, S.Rionero, M.Tessarotto Eds., (1985) 565-573
23. N.Bellomo, G.Toscani, On the Cauchy problem for the
nonlinear Boltzmann equation: global existence, uniqueness and asymptotic
stability, Quaderni del CNR, GNFM Proceedings of Workshop on Mathematical
Aspects of Fluid and Plasma Dynamics, C.Cercignani, S.Rionero, M.Tessarotto
Eds., (1985) 45-60
24. G.Toscani, On the nonlinear Boltzmann equation in
unbounded domains, Arch.Ration. Mech. Anal. 195 (1986) 37-49
25. V.Protopopescu,
G.Toscani, Existence globale pour un problème mixte associè á l'équation de
Boltzmann non-lineaire, C.R.A.S. t.302 Serie I, n.6 (1986) 255-258
26. N.Bellomo, G.Toscani, The nonlinear Boltzmann
equation: analysis of the influence of the cut-off on the solution of the
Cauchy problem, XV Int. Symposium on R.G.D., B.G.Teubner Editor Vol.I (1986)
167-174
27. N.Bellomo, G.Toscani, Lecture notes on the Cauchy
problem for the nonlinear Boltzmann equation, Internal Report Dip.Matem. Polit.
Torino, Levrotto & Bella Editors (1986) 1-101
28. G.Toscani, New results on the Boltzmann equation in
unbounded domains, Trans.Theory and Stat. Phys. 116 (2-3) (1987) 223-230
29. N.Bellomo, G.Toscani, On theEnskog-Boltzmann equation
in the whole space R3: Some global existence,uniqueness and stability results,
Comput.Math. Applic. 13 n.9-11 (1987) 851-859
30. G.Toscani, V.Protopopescu, The nonlinear Boltzmann
equation with partially absorbing boundary conditions.Global existence and
uniqueness results, J. Math. Phys. 128 (1987) 1140-1145
31. G.Toscani, H-theorem and asymptotic trend
to equilibrium for a rarefied gas in the vacuum, Arch.Ration. Mech. Anal.100
(1987) 1-12
32. R.Monaco, G.Toscani, New results on the semidiscrete
Boltzmann equation for a binary gas mixture, Meccanica 122 (1987) 179-184
33. G.Toscani, Global solutions to the Boltzmann equation
near a local Maxwellian, Rend. Sem. Mat.Univ. Pol. Torino, Fasc.Spec.
Hyperbolic Equations (1988) 279-286
34. G.Toscani, C.V.M.Vandermee An abstract approach to
nonlinear Boltzmann type equations, Ann.Univ. Ferrara Sez.7, Vol. XXXIV (1988)
75-100
35. G.Toscani, Global solutions of the initial value
problem for the Boltzmann equation near a local Maxwellian, Arch.Ration. Mech.
Anal. 102 (1988) 231-241
36. G.Toscani, On the Cauchy problem for the discrete
Boltzmann equation with initial values in L1( R+), Commun.Math. Phys. 1121
(1989) 121-142
37. N.Bellomo, G.Toscani, On the Enskog-Boltzmann equation
in unbounded domains: some global existence and stability results Proceedings
of III Meeting on Waves and Stability in Continuous Media, Bari, 1985
M.Maiellaro, L.Palese Eds., Bari (1989) 1-18
38. A.Palczewski, G.Toscani, Global solution of the
Boltzmann equation for rigid spheres and initial data close to a local
Maxwellian, J. Math.Phys. 430 (1989) 2445-2450
39. N.Bellomo, M.Lachowicz, A.Palczewski, G.Toscani, On
the initial value problem for the Boltzmann equation with a force term,
Trans.Theory & Stat. Phys. 118 (1) (1989) 87-102
40. G.Toscani, Recent developments on the existence theory
for the discrete velocity models, Proceedings of Discrete Kinetic Theory,
Lattice Gas Dynamics and Foundation of Hydrodynamics, Torino, 1988, R.Monaco
Ed.World Scientific, Singapore (1989) 355-370
41. N.Bellomo, G.Toscani, On the Cauchy problem for the
discrete Boltzmann equation with multiple collisions: existence, uniqueness and
stability, Stab.Meth. Appl. Anal. in Continua 1 (1990) 165-184
42. G.Borgioli, R.Monaco, G.Toscani, On the semidiscrete
Enskog equation, Proceedings of the V Meeting on Waves and Stability in
Continuous Media, Sorrento, 1989, S.Rionero Ed.World Scientific, Singapore
(1991) 34-40
43. G.Borgioli, A.Pulvirenti, G.Toscani, On the Cauchy
problem for the semidiscrete Enskog equation, Proceedings of Advances in
Kinetic Theory and Continuoum Mechanics, R.Gatignol & Soubbaramayer Eds.,
Springer Verlag, Berlin (1991) 91-98
44. G.Toscani, W.Walus, Recent results on the fractional
step method in discrete kinetic theory, Proceedings of Discrete Models od Fluid
Dynamics, Coimbra 1990, A.Alves Ed., World Scientific, Singapore (1991) 123-130
45. G.Toscani, Existence results for some nonlinear
hyperbolic system from kinetic theory of gases, Non linear hyperbolic equations
and field theory, M.K.V.Murthy& L.Spagnolo Eds.(1991) Pitman Research Note
Series
46. G.Toscani, On the discrete Boltzmann equation with
multiple collisions, Atti Accad.Peloritana Pericolanti, Classe Sci. Fis. Mat.
Nat. V. LXVIII, Suppl. 1 (1991) 441-457
47. G.Toscani, W.Walus, The initial-boundary value problem
for the four velocity plane Broadwell model, Math.Meth. and Models in Appl.
Sci. 1 (1991) 293-310
48. G.Toscani, On Shannon's entropy powers inequality,
Ann.Univ. Ferrara, Sez. 7, Vol. XXXVII (1991) 167--184
49. G.Toscani, An inequality for convex functionals and
its application to a Maxwellian gas Le Matematiche, XLVI, 1 (1991) 481 491
50. G.Toscani, Convergence towards equilibrium for a gas
of Maxwellian pseudomolecules, Cont.Mech. Termodyn. 4 (1992) 95-107
51. G.Toscani, New a priori estimates for the spatially
homogeneous Boltzmann equation, Cont.Mech. Termodyn. 4 (1992) 81-93
52. G.Toscani, A.V.Bobylev On the generalization of the
Boltzmann H-theorem for a spatially homogeneous Maxwell gas, J. Math.Phys. 33
(1992), 2578--2586.
53. G.Toscani, Lyapunov functionals for a Maxwell gas,
Arch.Ration. Mech. Anal. 119 (1992) 301-307
54. V.Comincioli, G.Toscani, Operator splitting of the
Boltmann equation for a Maxwell gas in “Boundary Value Problems for Partial
Differential Equations and Applications”, RMA Res. Notes Appl. Math., 29
C.Baiocchi and J.L.Lions Eds., Masson Paris, (1993) 345--350
55. E.Gabetta, G.Toscani, On convergence to equilibrium
for Kac's caricature of a Maxwellian gas, J. Math.Phys. 35, 1 (1994) 190-208
56. E.Gabetta, G.Toscani, On entropy production rates for
some kinetic equations, Bull.Tech. Univ. Istanbul 47, (1994) 219-230
57. G.Toscani,
Bivariate distributions with given marginals and applications to kinetic theory
of gases, Atti "Convegno Nazionale del Gruppo AIMETA di Meccanica
Stocastica'' E. Mascolino Ed., Messina (1994)
58. G.Toscani, Strong convergence in Lp for a spatially
homogeneous Maxwell gas with cut-off, Transp.The.& Stat. Phys. 26 (1995)
319-328
59. P.L.Lions, G.Toscani, A sthrenghtened central limit
theorem for smooth densities, J. Funct.Anal. 128 (1995) 148-167
60. V.Comincioli, G.Naldi, G.Toscani, Nonlinear diffusion
and fluid dynamical limit from discrete velocity models, Comm. Appl. Nonlinear
Anal. 2 (1995) 1-29
61. E.Gabetta, G.Toscani, B.Wennberg Metrics for
probability distributions and the trend to equilibrium for solutions of the
Boltzmann equation J. Statist.Phys. 81 (1995) 901-934
62. A.Pulvirenti, G.Toscani, The theory of nonlinear
Botzmann equation for Maxwell molecules in Fourier representation Ann.Matem.
Pura Appl. Vol. CLXXI (1996) 181-204
63. E. Gabetta, L. Pareschi, G. Toscani, Wild's sums and
numerical approximation of nonlinear kinetic equations, Transp.The. & Stat.
Phys. 25 (1996) 515-530
64. E.Gabetta, G.Toscani, B.Wennberg The Tanaka functional
and exponential convergence for non cut-off molecules, Transp.The. & Stat.
Phys. 25 (1996) 543-554
65. A.V. Bobylev, G.Toscani, Two dimensional half-space
problems for the Broadwell discrete velocity model, Continuum Mech.Thermodyn.
8, (1996) 257-274
66. G.Toscani, Kinetic approach to the asymptotic
behaviour of the solution to diffusion equations Rendic. di Matem.Serie VII 16
(1996) 329-346
67. G.Toscani, On regularity and asymptotic behaviour of a
spatially homogeneous Maxwell gas Rendiconti Circolo Mat.Palermo Suppl. 45
(1996) 649-662
68. A. Pulvirenti, G.Toscani, Fast diffusion as a limit of
a two-velocity kinetic model Rendiconti Circolo Mat. Palermo Suppl. 45 (1996)
521-528
69. E. Gabetta, L. Pareschi, G. Toscani, Relaxation
schemes for nonlinear kinetic equations, SIAM J. Numer.Anal. 34 (1997)
2168--2194
70. P.L.Lions, G.Toscani, Diffusive limits for finite
velocity Boltzmann kinetic models, Revista Mat. Iberoamer. 13 (1997) 473--513
71. V.Comincioli, G.Naldi, G.Toscani, The diffusive limit
of two velocity models: the porous medium equation, Transp.The. & Stat.
Phys. 26 (1997) 49-63
72. G.
Toscani, Sur l'inégalité logarithmique de Sobolev CRAS 324, S'erie I (1997)
689-694
73. S. Jin,
L. Pareschi, G. Toscani, Diffusive relaxation schemes for multiscale
discrete-velocity kinetic equations, SIAM J. Numer. Anal. 35 2405-2439 (1998)
74. A. Pulvirenti, G. Toscani, On the grazing collision
limit for the spatially homogeneous Boltzmann equation Rendiconti Circolo
Mat.Palermo Suppl. 57 (1998) 405-412
75. G. Toscani, The grazing collisions asymptotics of the
non cut-off Kac equation, M2AN Math.Model. Numer. Anal., 32 (1998) pp 763-772
76. J.A. Carrillo, G. Toscani, Exponential convergence
toward equilibrium for homogeneous Fokker-Planck-type equations, Math.Methods
Appl. Sci., 21 (1998) 1269-1286
77. E.A. Carlen, E. Gabetta, G. Toscani, Propagation of
smoothness and the rate of exponential convergence to equilibrium for a
spatially homogeneous Maxwellian gas, Commun.Math. Phys. 199, 521-546 (1999).
78. G. Toscani, C. Villani Probability metrics and
uniqueness of the solution to the Boltzmann equation for a Maxwell gas, J.
Statist.Phys., 94 619-637 (1999)
79. G. Naldi, L. Pareschi, G. Toscani, Hyperbolic
relaxation approximation to nonlinear parabolic problems, on International
Series of Numerical Mathematics, 130 Birkhäuser Verlag, Basel (1999) 747-756
80. G. Toscani, C. Villani, Sharp entropy dissipation
bounds and explicit rate of trend to equilibrium for the spatially homogeneous
Boltzmann equation, Commun.Math. Phys. 203, (1999) 667-706
81. G. Toscani, Entropy production and the rate of
convergence to equilibrium for the Fokker-Planck equation, Quarterly of
Appl.Math., Vol. LVII (1999), 521-541
82. G. Toscani, Remarks on entropy and equilibrium states,
Appl.Math. Letters, 12 (1999) 19-25
83. S. Jin, L. Pareschi, G. Toscani, Uniformly accurate
diffusive relaxation schemes for multiscale transport equations, SIAM J.
Numerical Analysis 38, 13, (2000) pp. 913-936.
84. A. Arnold, P. Markowich, G. Toscani, On large time
asymptotics for drift-diffusion-Poisson systems, Transport Theory Statist.Phys.
29 (2000), no. 3-5, 571--581.
85. L. Pareschi, G. Russo, G. Toscani, Fast spectral
methods for the Fokker-Planck-Landau equation, J. Comput.Phys. 165 (2000),
216--236.
86. G. Toscani, C. Villani, On the trend to equilibrium
for some dissipative systems with slowing increasing a priori bounds, J.
Statist.Phys., 98 (2000) 1279--1309
87. L.
Pareschi, G.Russo, G. Toscani, Méthode spéctrale rapide pour l'équation de
Fokker-Planck-Landau, CRAS 330, Série I, (2000) 517--522
88. J. A. Carrillo, G. Toscani, Asymptotic L1-decay of the
porous medium equation to self-similarity , Indiana Univ.Math. J., 46 (2000),
113--142
89. A. Arnold, P. Markowich, G. Toscani, A. Unterreiter,
On generalized Csiszar--Kullback inequalities, Monatschefte für Mathematik,
131, (2000) 235--253,
90. G. Toscani, One-dimensional kinetic models with
dissipative collisions, M2AN Math.Model. Numer. Anal., 34 (2000), 1277-1292
91. V. Comincioli, G. Naldi, L. Pareschi, G. Toscani,
Numerical methods for multiscale hyperbolic systems and nonlinear parabolic
equations, Ann.Univ. Ferrara, Sez. 7, Vol. XLV Suppl., (2000) 255--266
92. G. Naldi, L. Pareschi, G. Toscani, Convergence of
kinetic approximation to nonlinear parabolic problems, in Godunov Methods
(Oxford 1999), E.F. Toro (Editor), 655--662 Kluwer/ Plenum Publishers, New York
(2001)
93. A. Jüngel, P.A. Markowich, G. Toscani, Decay rates for
solutions of degenerate parabolic systems, Electron.J. Diff. Eqns., Conf. 06,
(2001), pp. 189-202.
94. A. Arnold, P. Markowich, G. Toscani, A. Unterreiter,
On convex Sobolev inequalities and the rate of convergence to equilibrium for
Fokker-Planck type equations, Commun.Partial Diff. Equa. 26 (2001), 43-100
95. J.A. Carrillo, A. Jüngel, P.A. Markowich, G. Toscani,
A. Unterreiter, Entropy dissipation methods for degenerate parabolic equations
and systems and generalized Sobolev inequalities, Monatschefte für Mathematik,
133 (2001), 1-82
96. J.L. Lopez, J. Soler, G. Toscani, Time rescaling and
asymptotic behavior of some fourth order degenerate diffusion equations,
Comput.Math. Appl., 43 (2002) 721-736
97. G. Naldi, L. Pareschi, G. Toscani, Relaxation schemes
for partial differential equations and applications to degenerate diffusion
problems, Surv.Math. Ind. 10, (2002) 315--343
98. V. Comincioli, G. Naldi, T. Scapolla, G. Toscani,
Multiscale hyperbolic equations: numerical approximation in the diffusive
regime, in Recent Trends in Numerical Analysis, L. Brugnano& D. Trigiante
Eds. Nova Science Publishers, (2001)
99. J.A. Carrillo, G. Toscani, Long-Time asymptotics for
strong solutions of the thin film equation, Commun.Math. Phys., 225 (2002)
551-571
100. J.A. Carrillo, C. Lederman, P.A. Markowich and G.
Toscani, Poincare Inequalities for Linearizations of Very Fast Diffusion
Equations, Nonlinearity 15, (2002) 565-580
101. T. Goudon, S. Junca, G. Toscani, Fourier-based
distances and Berry-Esseen like inequalities for smooth densities, Monatschefte
für Mathematik, 135 (2002) 115-136
102. L. Gosse, G. Toscani, An asymptotic preserving
well-balanced scheme for the hyperbolic heat equation, CRAS Série I, 334 (2002)
1-6
103. L. Gosse, G. Toscani, Space localization and
well-balanced scheme for discrete kinetic models in diffusive regimes, SIAM J.
Numer.Anal. 41, (2) (2003) 641-658
104. G. Naldi, L. Pareschi, G. Toscani, Spectral methods
for one-dimensional kinetic models of granular flows and numerical
quasi-elastic limit, M2AN Math.Model. Numer. Anal., 37, (2003) 73-90
105. A. Jüngel, G. Toscani, Decay rates of solutions to a
nonlinear fourth--order parabolic equation, Z. Angew.Math. Phys. 54, (2003)
377-386
106. F. Frommlet, J.L. López, J. Soler, G. Toscani,
Nonlinear rescaling, dispersion lemmas and conservation laws for some linear
kinetic and quantum-kinetic problems.Comm. Appl. Nonlinear Anal. 10 (2003),
1--20.
107. G. Toscani, Entropy methods for the asymptotic
behaviour of fourth-order nonlinear diffusion equations. "WASCOM
2001"-11th Conference on Waves and Stability in Continuous Media (Porto
Ercole, june 3-9, 2001 ), World Sci.Publishing, River Edge, NJ, (2002)
569--578.
108. L. Pareschi, G. Toscani, C. Villani, Spectral methods
for the non cut-off Boltzmann equation and numerical grazing collision limit,
Numer.Math., 93 (2003) 527-548
109. A.V. Bobylev, C. Cercignani, G. Toscani, Proof of an
asymptotic property of self-similar solutions of the Boltzmann equation for
granular materials, J. Statist.Phys., 111 (2003) 403-417
110. M.P. Gualdani, A. Jüngel, G. Toscani, Exponential
decay in time of solutions of the viscous quantum hydrodynamic equations,
Appl.Math. Letters, 16 (2003) 1273-1278
111. L. Gosse, G. Toscani, Asymptotic preserving and
well-balanced schemes for radiative transfer and the Rosseland approximation,
Numer.Math. 98 ( 2) (2004) 223 - 250
112. M. Bisi, G. Spiga, G. Toscani, Hydrodynamics from
grad's equations for weakly inelastic granular flows, Physics of Fluids 16 (12)
(2004) 4235-4247
113. Hailiang Li, G. Toscani, Long-time asymptotics of
kinetic models of granular flows, Arch.Ration. Mech. Anal., 172 (3) (2004)
407-428
114. B. Lods, G. Toscani, The dissipative linear Boltzmann
equation for hard spheres, J. Statist.Phys., 117 (3-4) (2004) 635-664
115. A. Pulvirenti, G. Toscani, Probabilistic treatment of
some dissipative kinetic models, in "WASCOM 2003"-12th Conference on
Waves and Stability in Continuous Media, World Sci. Publishing, River Edge, NJ,
( 2004) 407--420
116. G. Toscani et al. Entropy and equilibria of many
particle systems: an essay on recent research.Monatschefte für Mathematik, 142
(1-2) (2004) 35-43
117. L. Pareschi, G. Toscani, Modelling and numerical
methods for granular gases, in "Modeling and Computational Methods for
Kinetic Equations", P. Degond, L. Pareschi and G. Russo Eds., Birkhauser,
Boston (2004) 259-285
118. M. Bisi, G. Toscani, Self-similar solutions of a
nonlinear friction equation in higher dimensions, Ann.Univ. Ferrara - Sez 7 -
Ann. Univ. Ferrara - Sez. VII - Sc. Mat. Vol. L, (2004) 91-110.
119. J.A. Carrillo, M.P. Gualdani, G. Toscani, Finite speed
of propagation in porous media by mass transportation methods, CRAS Série I,
338 (10) (2004) 815-818
120. A. Pulvirenti, G. Toscani, Asymptotic properties of
the inelastic Kac model, J. Statist.Phys., 114 (2004) 1453-1480
121. J.A. Carrillo, G. Toscani, Wasserstein metric and
large-time asymptotics of nonlinear diffusion equations, in New trends in
mathematical physics, World Sci.Publ., Hackensack, NJ, (2004) 234–244.
122. G. Spiga, G. Toscani, The dissipative linear Boltzmann
equation. Appl. Math. Letters, 17 (3): 295-301 (2004)
123. L. Pareschi, G.Russo, G. Toscani, A kinetic
approximation of Hele-Shaw flow, CRAS Série I, 338 (2) (2004) 177-182
124. G. Toscani, Kinetic and hydrodinamic models of nearly
elastic granular flows, Monatschefte für Mathematik, 142 (1-2) (2004) 179-192