Partial Differential Equations, Models, and Applications

Partial Differential Equations
Models and Applications

Our publications

Preprints and papers to appear

Papers published in 2009

Papers published in 2008

Papers published in 2007

Papers published in 2006

Papers published in 2005

Papers published in 2004

Papers published in 2003

Papers published in 2002

Papers published in 2001

Papers published in 2000

Papers published in 1999

Preprints and papers to appear

Ambrosio L., Savaré G., Zambotti L.

Existence and stability for Fokker-Planck equations with log-concave reference measure

10.1007/s00440-008-0177-3

available

Antonietti P., Pratelli A.

Finite element approximation of Sobolev constant

Auricchio F., Bonetti E., Marigonda A.

A metric approach to plasticity via Hamilton-Jacobi equation

Auricchio F., Reali A., Stefanelli U.

A macroscopic 1D model for shape memory alloys including asymmetric behaviors and transformation-dependent elastic properties

Bonetti E., Bonfanti G., Rossi R.

Long-time behaviour of a thermomechanical model for adhesive contact

Bonetti E., Colli P., Fabrizio M., Gilardi G.

Existence and boundedness of solutions for a singular phase field system

10.1016/j.jde.2009.02.007

available

Bonetti E., Frémond M.

Analytical results on a model for damaging in domains and interfaces

Carrillo J.A., Lisini S., Savaré G., Slepcev D.

Nonlinear mobility continuity equations and generalized displacement convexity

available

Chambolle A., Giacomini A., Lussardi L.

Continuous limits of discrete perimeters

10.

Cianchi A., Fusco N., Maggi F., Pratelli A.

On the isoperimetric deficit in the Gauss space

11.

Cianchi A., Fusco N., Maggi F., Pratelli A.

The sharp Sobolev inequality in quantitative form

12.

Colli P., Gilardi G., Podio-Guidugli P., Sprekels J.

Global solution and long-time behavior for a problem of phase segregation of the Allen-Cahn type

available

13.

Crippa G., Jimenez C., Pratelli A.

Optimum and equilibrium in a transport problem with queue penalization effect

14.

DiBenedetto E., Gianazza U., Vespri V.

Alternative Forms of the Harnack Inequality for non-negative solutions to certain degenerate and singular parabolic equations

15.

DiBenedetto E., Gianazza U., Vespri V.

Continuity of the saturation in the flow of two immiscible fluids in a porous medium

16.

DiBenedetto E., Gianazza U., Vespri V.

Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations

17.

DiBenedetto E., Gianazza U., Vespri V.

Harnack estimates and Hölder continuity for solutions to singular parabolic partial differential equations in the sub-critical range

18.

Feireisl E., Petzeltová H., Rocca E., Schimperna G.

Analysis of a phase-field model for two-phase compressible fluids

M³AS

19.

Feireisl E., Rocca E., Schimperna G.

On a non-isothermal model for nematic liquid crystals

20.

Figalli A., Maggi F., Pratelli A.

A note on Cheeger sets

21.

Figalli A., Maggi F., Pratelli A.

A mass transportation approach to quantitative isoperimetric inequalities

22.

Figalli A., Maggi F., Pratelli A.

A refined Brunn-Minkowski inequality for convex sets

23.

Fornaro S., Gianazza U.

Local properties of non-negative solutions to some doubly non-linear degenerate parabolic equations

24.

Frémond M., Rocca E.

A model for shape memory alloys with the possibility of voids

25.

Frigeri S.

Asymptotic behavior of a hyperbolic system arising in ferroelectricity

26.

Frigeri S.

Convergence towards equilibria for a hyperbolic system arising in ferroelectricity

27.

Fusco N., Maggi F., Pratelli A.

Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities

28.

Fusco N., Pratelli A.

On a conjecture by Auerbach

29.

Gianazza U., Surnachev M., Vespri V.

On a new proof of Hölder continuity of solutions of p-Laplace type parabolic equations

30.

Gilardi G.

On an Allen-Cahn type integrodifferential equation

June 29 -

July 03,

31.

Gilardi G., Miranville A.

On the Cahn-Hilliard equation with dynamic boundary conditions

32.

Gilardi G., Miranville A., Schimperna G.

On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

available

33.

Grasselli M., Schimperna G., Zelik S.

On the 2D Cahn-Hilliard equation with inertial term

34.

Herrmann M., Segatti A.

Infinite harmonic chain with heavy mass

available

35.

Krejcí P., Rocca E., Sprekels J.

Phase separation in a gravity field

36.

Lisini S.

Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces

37.

Lussardi L.

A Stampacchia-type inequality for a fourth order elliptic operator on Kähler manifolds and applications

38.

Matthes D., McCann R.J., Savaré G.

A Family of Nonlinear Fourth Order Equations of Gradient Flow Type

available

39.

Mielke A., Rossi R., Savaré G.

BV solutions and viscosity approximations of rate-independent systems

40.

Mielke A., Stefanelli U.

A discrete variational principle for rate-independent evolution

41.

Miranville A., Schimperna G.

Generalized Cahn-Hilliard equations for multicomponent alloys

42.

Natile L., Savaré G.

A Wasserstein approach to the one-dimensional sticky particle system

available

43.

Negri M.

A comparative analysis on variational models for quasi-static brittle crack propagation

available

44.

Negri M.

From rate-dependent to quasi-static brittle crack propagation

45.

Negri M.

On the stability of liquid droplets with line tension

46.

Negri M., Ortner C.

Quasi-static crack propagation by Griffith's criterion

47.

Peletier M.A., Veneroni M.

Non-oriented solutions of the Eikonal equation

48.

Peletier M.A., Veneroni M.

Stripe patterns in a model for block-copolymers

49.

Rossi R., Segatti A., Stefanelli U.

Global attractors for gradient flows in metric spaces

50.

Schimperna G.

Global and exponential attractors for the Penrose-Fife system

M³AS

51.

Stefanelli U.

Some remarks on convergence and approximation for a class of hysteresis problems

52.

Stefanelli U.

The discrete Brezis-Ekeland principle

53.

Veneroni M.

Reaction-Diffusion systems for the macroscopic Bidomain model of the cardiac electric field

Papers published in 2009

Bonetti E., Bonfanti G., Rossi R.

Thermal effects in adhesive contact: modelling and analysis

Brzezniak Z., Ferrario B.

2D Navier-Stokes equations in Besov spaces of negative order

10.1016/j.na.2008.08.001

Colli P., Hilhorst D., Issard-Roch F., Schimperna G.

Long time convergence for a class of variational phase field models

10.3934/dcds.2009.25.63

available

Dolbeault J., Nazaret B., Savaré G.

A new class of transport distances between measures

10.1007/s00526-008-0182-5

available

Feireisl E., Petzeltová H., Rocca E.

Existence of solutions to some models of phase changes with microscopic movements

Gianazza U., Savaré G., Toscani G.

The Wasserstein gradient flow of the Fisher Information and the quantum drift-diffusion equation

194

10.1007/s00205-008-0186-5

available

Grasselli M., Schimperna G., Segatti A., Zelik S.

On the 3-D Cahn Hilliard equation with inertial term

Krejcí P., Rocca E., Sprekels J.

A bottle in a freezer

10.1137/09075086X

Mielke A., Rossi R., Savaré G.

Modeling solutions with jumps for rate-independent systems on metric spaces

available

Negri M., Rosso R.

On the stability of liquid droplets with line tension

10.1007/s00161-009-0104-6

Segatti A., Zelik S.

Finite-dimensional global and exponential attractor for the reaction-diffusion problem with an obstacle potential

available

Papers published in 2008

Albeverio S., Barbu V., Ferrario B.

Uniqueness of the generators of the 2-D Euler and Navier Stokes flows

118

Albeverio S., Ferrario B.

Some Methods of Infinite Dimensional Analysis in Hydrodynamics: An Introduction

1942,

Ambrosio L., Gigli N., Savaré G.

Gradient flows in metric spaces and in the space of probability measures. Second edition.

Auricchio F., Mielke A., Stefanelli U.

A rate-independent model for the isothermal quasi-static evolution of shape-memory materials

Bonetti E, Bonfanti G.

Well-posedness results for a model of damage in thermoviscoelastic materials

Bonetti E., Bonfanti G., Rossi R.

Global existence for a contact problem with adhesion

Buttazzo G., Pratelli A., Solimini S., Stepanov E.

Optimal urban networks via mass transportation

1961

Caffarelli L.A., Stefanelli U.

A counterexample to C^2,1 regularity for parabolic fully nonlinear equations

Carbone R., Ferrario B., Santacroce M.

Backward Stochastic Differential Equations driven by càdlàg martingales

Chemetov N., Monteiro Marques M.D.P., Stefanelli U.

Ordered non-convex quasi-variational sweeping processes

Colli P.

Modelling and analysis of a class of phase field systems

1048

Colli P., Damlamian A., Kenmochi N., Mimura M., Sprekels J. eds.

Proceedings of International Conference on: Nonlinear Phenomena with Energy Dissipation. Mathematical Analysis, Modeling and Simulation

vol. 29 of

Colli P., Segatti A.

Uniform attractors for a phase transition model coupling momentum balance and phase dynamics

available

Colombo G, Marigonda A.

Singularities for a class of non-convex sets and functions, and viscosity solutions of some Hamilton-Jacobi equations

Corazzini L., Gianazza U.

Unequal contributions from identical agents in a local interaction model

Crippa G., Jimenez C., Pratelli A.

A transport problem with queue penalization effect

Daneri S., Savaré G.

Eulerian calculus for the displacement convexity in the Wasserstein distance

10.1137/08071346X

available

DiBenedetto E., Gianazza U., Vespri V.

Harnack estimates for quasi-linear degenerate parabolic equations

200

DiBenedetto E., Gianazza U., Vespri V.

Sub-potential lower bounds for non-negative solutions to certain quasi-linear degenerate parabolic differential equations

143

Dolbeault J., Nazaret B., Savaré G.

On the Bakry-Emery criterion for linear diffusions and weighted porous media equations

available

Ferrario B.

Absolute continuity of laws for semilinear stochastic equations with additive noise

Ferrario B.

Invariant measures for a stochastic Kuramoto-Sivashinsky equation

Ferrario B., Flandoli F.

On a stochastic version of Prouse model in fluid dynamics

118

Frémond M., Rocca E.

Solid liquid phase changes with different densities

Fusco N., Maggi F., Pratelli A.

The sharp quantitative isoperimetric inequality

168

Giacomini A., Lussardi L.

Quasistatic evolution for a model in strain gradient plasticity

Lorenzi A., Rocca E.

Identification of two memory kernels in a fully hyperbolic phase-field system

Lussardi L.

An approximation result for free discontinuity functionals by means of non-local energies

Mielke A., Roubícek T., Stefanelli U.

Gamma-limits and relaxations for rate-independent evolutionary problems

Pratelli A.

On the sufficiency of c -cyclical monotonicity for optimality of transport plans

258

Rocca E., Rossi R.

Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials

Rocca E., Rossi R.

Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials

245

Rossi R., Mielke A., Savaré G.

A metric approach to a class of doubly nonlinear evolution equations and applications

Rossi R., Segatti A., Stefanelli U.

Attractors for gradient flows of non convex functionals and applications

available

Schimperna G., Segatti A.

Attractors for the semiflow associated with a class of doubly nonlinear parabolic equations

available

Stefanelli U.

The Brezis-Ekeland principle for doubly nonlinear equations

Stefanelli U.

A variational principle for hardening elastoplasticity

Papers published in 2007

Arendt W., Chill R., Fornaro S., Poupaud C.

L^p -maximal regularity for non-autonomous evolution equations

237

Auricchio F., Reali A., Stefanelli U.

A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity

Bertoldi M., Fornaro S., Lorenzi L.

Gradient estimates for parabolic problems with unbounded coefficients in non convex unbounded domains

Bertoldi M., Fornaro S., Lorenzi L.

Pointwise gradient estimates in exterior domains

Bonetti E., Bonfanti G., Rossi R.

Well-posedness and long-time behaviour for a model of contact with adhesion

Bonetti E., Colli P., Fabrizio M., Gilardi G.

Global solution to a singular integrodifferential system related to the entropy balance

available

Bonetti E., Frémond M., Lexcellent Ch.

Hydrogen storage: modeling and analytical results

Bonetti E., Frémond M., Rocca E.

A new dual approach for a class of phase transitions with memory: existence and long-time behaviour of solutions

Bonetti E., Rocca E.

Global existence and long-time behaviour for a singular integro-differential phase-field system

Braides A., Solci M., Vitali E.

A derivation of linear elastic energies from pair-interaction atomistic systems

available

Carbone R., Ferrario B., Santacroce M.

Backward Stochastic Differential Equations driven by càdlàg martingales

Colli P., P., Rocca E., Sprekels J.

Nonlinear evolution inclusions arising from phase change models

available

Cupini G., Fornaro S.

Maximal regularity in L^p(R^N) for a class of elliptic operators with unbounded coefficients

DiBenedetto E., Gianazza U., Safonov M., Urbano J.M., Vespri V., eds

Harnack's Estimates: Positivity and Local Behavior of Degenerate and Singular Parabolic Equations

DiBenedetto E., Gianazza U., Vespri V.

Intrinsic Harnack inequalities for quasi-linear singular parabolic partial differential equations

Dinuzzo F., Neve M., Gianazza U., De Nicolao G.

On the representer theorem and equivalent degrees of freedom of SVR

Fornaro S., Lorenzi L.

Generation results for elliptic operators with unbounded diffusion coefficients in L^p - and C^b -spaces

Fornaro S., Metafune G., Pallara D., Prüss, J.

L^p -theory for some elliptic and parabolic problems with first order degeneracy at the boundary

Fusco N., Maggi F., Pratelli A.

The sharp quantitative Sobolev inequality for functions of bounded variations

244

Gianazza U., Polidoro S.

Lower bounds for solutions of degenerate parabolic equations

Gilardi G.

On a conserved phase field model with irregular potentials and dynamic boundary conditions

141

available

Gilardi G., Rocca E.

Well posedness and long time behaviour for a singular phase field system of conserved type

Gilardi G., Stefanelli U.

Existence for a doubly nonlinear Volterra equation

333

Grasselli M., Petzeltová H., Schimperna G.

A nonlocal phase-field system with inertial term

Grasselli M., Petzeltová H., Schimperna G.

Asymptotic behavior of a nonisothermal viscous Cahn-Hilliard equation with inertial term

Krejcí P., Rocca E., Sprekels J.

Nonlocal phase-field models for non-isothermal phase transitions with non-constant specific heat

Krejcí P., Rocca E., Sprekels J.

Nonlocal temperature-dependent phase-field models for non-isothermal phase transitions

Lisini, S.

Characterization of absolutely continuous curves in Wasserstein spaces

Lorenzi A., Rocca E.

Weak solutions for the fully hyperbolic phase-field system of conserved type

Lussardi L.

An approximation for the Mumford-Shah functional

Lussardi L., Negri M.

Convergence of non-local finite element energies for fracture mechanics

Lussardi L., Vitali E.

Non-local approximation of free discontinuity functionals with linear growth

Lussardi L., Vitali E.

Non-local approximation of free discontinuity functionals with linear growth: the one-dimensional case

186

Mielke A., Rossi R.

Existence and uniqueness results for general rate-independent hysteresis problems

M³AS

Negri M.

Convergence analysis for a smeared crack approach in brittle fracture

available

Pratelli A.

On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation

Rossi R.

Existence and approximation results for general rate-independent problems via a variable time-step discretization scheme

154

Savaré G.

Gradient flows and diffusion semigroups in metric spaces under lower curvature bounds

345

Schimperna, G.

Global attractors for Cahn-Hilliard equations with non constant mobility

Schimperna G., Segatti A., Stefanelli U.

Well-posedness and long-time behaviour for a class of doubly nonlinear equations

available

Schimperna G., Stefanelli U.

Positivity of the temperature for phase transitions with micro-movements

available

Segatti A.

On the hyperbolic relaxation of the Cahn-Hilliard equation in 3-D: approximation and long-time behaviour

M³AS

available

Papers published in 2006

Ambrosio L, Lisini, S., Savaré, G.

Stability of flows associated to gradient vector fields and convergence of iterated transport maps

121

available

Ambrosio L., Savaré G.

Gradient Flows of Probability Measures

Bernardi M. P., Bondioli C., Quaglia M.

On graph directed constructions of fractals

Bonetti E.

Modelling phase transitions via the entropy balance: long-time behaviour of the solutions

pp. 21-42

Bonetti E., Colli P., Fabrizio M., Gilardi G.

Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity

available

Bonetti E., Frémond M., Lexcellent Ch.

Global existence and uniqueness for a thermomechanical model for shape memory alloys with partition of the strain

Buttazzo G., Pratelli A., Stepanov E.

Optimal pricing policies for public transportation networks

Colli Franzone P., Pavarino L., Savaré G.

Computational Electrocardiology: mathematical and numerical modeling

Colli P., Frémond M., Rocca E., Shirakawa K.

Attractors for a three-dimensional thermo-mechanical model of shape memory alloys

Comi C., Mariani S., Negri M., Perego U.

A 1D variational formulation for quasi-brittle fracture

DiBenedetto E., Gianazza U., Vespri V.

Intrinsic Harnack estimates for non-negative local solutions of degenerate parabolic equations

DiBenedetto E., Gianazza U., Vespri V

Local clustering of the non-zero set of functions in W^1,1(E)

Ferrario B.

Stochastic hydrodynamics

Frémond M., Rocca E.

Well-posedness of a phase transition model with the possibility of voids

M³AS

Gianazza U., Vespri V.

A Harnack inequality for degenerate parabolic equations

Gianazza U., Vespri V.

A Harnack inequality for solutions of doubly nonlinear parabolic equations

Gianazza U., Vespri V.

Regularity estimates for parabolic De Giorgi classes of order p

Gilardi G., Rocca E.

Convergence of phase field to phase relaxation governed by the entropy balance with memory

Gilardi G., Stefanelli U.

Time-discretization and global solution for a doubly nonlinear Volterra equation

228

available

Grasselli M., Petzeltová H., Schimperna G.

Convergence to stationary solutions for a parabolic-hyperbolic phase-field system

Grasselli M., Petzeltová H., Schimperna G.

Long time behavior of solutions to the Caginalp system with singular potential

Klein O., Luterotti F., Rossi R.

Existence and asymptotic analysis of a phase field model for supercooling

Lorenzi A., Rocca E.

Approximation of an inverse problem for a parabolic integro-differential system of Caginalp type

Luterotti F., Schimperna G., Stefanelli U.

Existence results for a phase transition model based on microscopic movements

251

Negri M.

A non-local approximation of free discontinuity problems in SBV and SBD

Nochetto R.H., Savaré G.

Nonlinear evolution governed by accretive operators in Banach spaces: error control and applications

M³AS

Peyroux R., Stefanelli U.

Analysis of a 1D thermoviscoelastic model with temperature-dependent viscosity

Rocca E., Schimperna G.

Global attractor for a parabolic-hyperbolic Penrose-Fife phase field system

Rossi R.

Global attractor for the weak solutions of a class of viscous Cahn-Hilliard equations

Rossi R., Savaré G.

Gradient flows of non convex functionals in Hilbert spaces and applications

available

Segatti A.

Global attractor for a class of doubly nonlinear abstract evolution equations

available

Segatti A.

Global attractors for the quasistationary phase field model: a gradient flow approach

Stefanelli U.

Analysis of a variable time-step discretization for a phase transition model with micro-movements

available

Stefanelli U.

Nonlocal quasivariational evolution problems

229

available

Veneroni M.

Reaction-Diffusion systems for the microscopic cellular model of the cardiac electric field

Papers published in 2005

Ambrosio L., Gigli N., Savaré G.

Gradient flows in metric spaces and in the space of probability measures

Auricchio F., Stefanelli U

Well-posedness and approximation for a one-dimensional model for shape memory alloys

M³AS

available

Bonetti E.

A new approach to phase transitions via the entropy balance

pp. 125-156.

Bonetti E., Bonfanti G.

Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system

available

Bonetti E., Colli P., Frémond M.

Entropy balance versus energy balance - Application to the heat equation and to phase transitions

23,

pp. 379-388

Bonetti E., Frémond M.

A damage model: microscopic effects of macroscopic deformations

23,

pp.....

Bonetti E., Schimperna G., Segatti A.

On a doubly nonlinear model describing the evolution of damage in viscoelastic substances

218

available

Colli P., Plotnikov P.I.

Global solution to a quasistationary Penrose-Fife model

available

Feireisl E., Schimperna G.

Large time behavior of solutions to Penrose-Fife phase change models

Ferrario B.

On some problems of regularity in two-dimensional stochastic hydrodynamics

245

Fragalà I., Gelli M.S., Pratelli A.

Continuity of an optimal transport in Monge problem

Gilardi G.

On Some Penrose-Fife Type Systems with Special Heat Flux Laws

pp. 177-195.

Gilardi G., Marson A.

On a conserved Penrose-Fife type system

available

Guarino R., Ferrario B., Mossa L.

A stochastic model of seed dispersal pattern to assess seed predation by ants in annual dry grasslands

178

Lorenzi A., Rocca E., Schimperna G.

Direct and inverse problems for a parabolic integro-differential system of Caginalp type

Miranville A., Schimperna G.

Global solution to a phase transition model based on a microforce balance

Miranville A., Schimperna G.

Nonisothermal phase separation based on a microforce balance

Negri M.

A discontinuous finite element approach for the approximation of free discontinuity problems

Pennacchio M., Savaré G., Colli Franzone P.

Multiscale modeling for the bioelectric activity of the heart

available

Pratelli A.

Equivalence between some definitions for the optimal mass transport problem and for the transport density on manifolds

184

Pratelli A.

How to show that some rays are maximal transport rays in Monge problem

113

Rocca E.

Well-posedness and regularity for a parabolic-hyperbolic Penrose-Fife phase field system

available

Rossi R.

On two classes of generalized viscous Cahn-Hilliard equations

available

Rossi R., Stefanelli U.

An order approach to a class of quasivariational sweeping processes

available

Stefanelli U

Analysis of a thermomechanical model for shape memory alloys

available

Papers published in 2004

Albeverio S., Ferrario B.

Invariant Gibbs measures for the 2D vortex motion of fluids

Albeverio S., Ferrario B., Yoshida M.W.

On the essential self-adjointness of Wick powers of relativistic fields and of fields unitary equivalent to random fields

Albeverio S., Ferrario B.

Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the entrophy

Ambrosio L., Gigli N., Savaré G.

Gradient flows with metric and differentiable structures, and applications to the Wasserstein space

available

Ambrosio L., Kirchheim B., Pratelli A.

Existence of optimal transport maps for crystalline norms

125

Auricchio F., Stefanelli U.

Numerical analysis of a 3-D super-elastic constitutive model

available

Bonetti E.

Global solvability of a dissipative Frémond model for shape memory alloys, Part II: existence

Bonetti E., Frémond M.

Collisions and fracture: a 1D theory. How to tear off a chandelier from the ceiling

Bonetti E., Frémond M.

Collisions and fractures: a model in SBD

Bonetti E., Frémond M.

Collisions and fracture

Bonetti E., Frémond M., Lexcellent Ch.

Modelling shape memory alloys

115

Bonetti E., Schimperna G.

Local existence for Frémond's model of damage in elastic materials

Colli P., Gilardi G., Rocca E., Schimperna G.

On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature

available

Colli P., Shirakawa K.

Attractors for the one-dimensional Frémond model of shape memory alloys

available

De Pascale L., Evans L.C., Pratelli A.

Integral estimates for transport densities

De Pascale L., Pratelli A.

Sharp summability for Monge transport density via interpolation

Gianazza U., Stroffolini B., Vespri V.

Interior and boundary regularity of the solution of the singular equation (B(u))_t = Lu

Gilardi G.

On a phase transition model of Penrose-Fife type

Kessler D., Scheid J.-F., Schimperna G., Stefanelli U.

Study of a system for the isothermal separation of components in a binary alloy with change of phase

available

Rocca E.

Existence and uniqueness for the parabolic conserved phase field model with memory

available

Rocca E., Schimperna G.

Universal attractor for a Penrose-Fife phase field system with special heat flux law

available

Rocca E., Schimperna G.

Universal attractor for some singular phase transition systems

192

available

Rossi R.

Well-posedness and asymptotic analysis for a Penrose-Fife type phase field system

available

Rossi R., Savaré G.

Existence and approximation results for gradient flows

available

Schimperna G., Stefanelli U.

A quasi-stationary phase field model with micro-movements

available

Segatti A.

Analysis of a solid-solid phase change model coupling hyperbolic momentum balance and diffusive phase dynamics

available

Segatti A.

Error estimates for a variable time-step discretization of a phase transition model with hyperbolic momentum

25,

available

Shirakawa K., Stefanelli U.

Structure result for steady-state solutions of a one-dimensional Frémond model of SMA

190

available

Showalter R.E., Stefanelli U.

Diffusion in poro-plastic media

available

Stefanelli U.

On some nonlocal evolution equations in Banach spaces

available

Stefanelli U.

Some quasivariational problems with memory

available

Papers published in 2003

Albeverio S., Ferrario B.

2D vortex motion of an incompressible ideal fluid: the Koopman-von Neumann approach

Albeverio S., Ferrario B.

Invariant measures of Lévy-Khinchine type for 2D fluids

Ambrosio L., Pratelli A.

Existence and stability results in the L¹ theory of optimal transportation. Optimal transportation and applications (Martina Franca, 2001)

1813,

Bonetti E.

Global solvability of a dissipative Frémond model for shape memory alloys. Part I: mathematical formulation and uniqueness

Bonetti E., Bonfanti G.

Existence and uniqueness of the solution to a 3D thermoviescoelastic system

2003

available

Bonetti E., Colli P., Frémond M.

A phase field model with thermal memory governed by the entropy balance

M³AS

available

Bonetti E., Dreyer W., Schimperna G.

Global solution to a generalized Cahn-Hilliard equation with viscosity

available

Bonetti E., Frémond M.

A phase transition model with the entropy balance

Bonetti E., Frémond M.

Damage theory: microscopic effects of vanishing macroscopic motions

Colli P., Rodrigues J.F. (eds)

Mathematical aspects of evolving interfaces

1812.

Colli, P., Verdi C., Visintin A. (eds)

Free Boundary Problems. Theory and Applications

147,

Ferrario B.

Uniqueness result for the 2D Navier-Stokes equation with additive noise

available

Gianazza U., Vespri V.

Continuity of weak solutions of a singular parabolic equation

available

Gilardi G., Marson A.

On a Penrose-Fife type system with Dirichlet boundary conditions for temperature

available

Gilardi G., Rocca E.

Su un modello conservativo di tipo Penrose-Fife con condizioni di Neumann

(Rend. Sc.)

A 136-137

available

Krejcí P., Sprekels J., Stefanelli U.

One-dimensional thermo-visco-plastic processes with hysteresis and phase transitions

available

Luterotti F., Schimperna G., Stefanelli U.

A generalized phase relaxation model with hysteresis

available

Magenes E.

Sandro Faedo matematico

Morini M., Negri M.

Mumford-Shah functional as Gamma -limit of discrete Perona-Malik energies

Negri M.

A finite element approximation of the Griffith's model in fracture mechanics

Rocca E.

The conserved Penrose-Fife system with temperature-dependent memory

287

available

Rocca E., Schimperna G.

Singular limits of a conserved Penrose-Fife phase field model with special heat flux laws and memory effects

available

Rocca E., Schimperna G.

The conserved Penrose-Fife system with Fourier heat flux law

available

Rossi R.

Asymptotic analysis of the Caginalp phase-field model for two vanishing time relaxation parameters

available

Rossi R., Savaré G.

Tightness-concentration principles and compactness for evolution problems in Banach spaces

available

Solci M., Vitali E.

Variational models for phase separation

Papers published in 2002

Albeverio S., Ferrario B.

Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows. The case of Gaussian invariant measures

193

Bonetti E.

Asymptotic analysis of a diffusive model for shape memory alloys with Cattaneo-Maxwell heat flux law

Bonetti E.

Global solution to a nonlinear phase transition model with dissipation

available

Bonetti E.

Some results on the well-posedness of an integro-differential Frémond model for shape memory alloys

Bonetti E., Colli P., Dreyer W., Gilardi G., Schimperna G., Sprekels J.

On a model for phase separation in binary alloys driven by mechanical effects

165

available

Bonetti E., Frémond M.

Dissipative behavior of shape memory alloys: modelling and mathematical results

Braides A., Defranceschi A., Vitali E.

Relaxation of elastic energies with free discontinuities and constraint on the strain

Colli Franzone P., Savaré G.

Degenerate evolution systems modeling cardiac electric field at micro and macroscopic level

A. Lorenzi

B. Ruf (eds)

available

Colli P.

Phase relaxation problems with memory and their optimal control

M. Fabrizio

B. Lazzari

A. Morro (ed.)

62,

pp. 51-60

Colli P., Grasselli M., Ito A.

On a parabolic-hyperbolic Penrose-Fife phase-field system

2002

no. 100

30 pp.

Erratum

2002

no. 100

32 pp.

Colli P., Luterotti F., Schimperna G., Stefanelli U.

Global existence for a class of generalized systems for irreversible phase changes

available

Colli P., Recupero V.

Convergence to the Stefan problem of the phase relaxation problem with Cattaneo heat flux law

Dal Maso G., Negri M., Percivale D.

Linearized elasticity as Gamma -limit of finite elasticity. Calculus of variations, nonsmooth analysis and related topics

De Pascale L., Pratelli A.

Regularity properties for Monge transport density and for solutions of some shape optimization problem

Gilardi G.

Solid-solid phase transition in a mechanical system

M. Fabrizio

B. Lazzari

A. Morro (ed.)

62,

pp. 123-130

Krejcí P., Sprekels J., Stefanelli U.

Phase-field models with hysteresis in one-dimensional thermo-visco-plasticity

available

Laurençot Ph., Schimperna G., Stefanelli U.

Global existence of a strong solution to the one-dimensional full model for irreversible phase transitions

271

available

Luterotti F., Schimperna G., Stefanelli U.

Global solution to a phase field model with irreversible and constrained phase evolution

available

Luterotti F., Schimperna G., Stefanelli U.

Local solution to Fremond's full model for irreversible phase transitions

M. Fabrizio

B. Lazzari

A. Morro (ed.)

62,

pp. 323-328

Luterotti F., Stefanelli U,

Existence result for the one-dimensional full model of phase transitions

available

Rocca E.

Some Remarks on the conserved Penrose-Fife phase-field model with memory effects

M. Fabrizio

B. Lazzari

A. Morro (ed.)

62,

pp. 313-322.

Rocca E.

The conserved Penrose-Fife phase field model with special heat flux laws and memory effects

available

Rossi R.

Compactness results for evolution equations

135

Savaré G.

Compactness properties for families of quasistationary solutions of some evolution equations

354

available

Savaré G., Schimperna G.

Domain perturbations and estimates for the solutions of second order elliptic equations

available

Scheid J.-F., Schimperna G.

Regularity and uniqueness results for a phase change problem in binary alloys

Shirakawa K.

Structure of the solution flow for steady-state problems of one-dimensional Frémond models of shape memory alloys

available

Shirakawa K.

Asymptotic convergence of p -Laplace equations with constraint as p tends to 1

available

Stefanelli U.

Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys

available

Stefanelli U.

Boundedness of the temperature for the general Frémond model for shape memory alloys

available

Stefanelli U.

On a class of doubly nonlinear nonlocal evolution equations

available

Stefanelli U.

Phase transitions and hysteresis in one-dimensional thermo-plasticity" proc. "Modelli Matematici e Problemi Analitici per Materiali Speciali

M. Fabrizio

B. Lazzari

A. Morro (ed.)

62,

pp. 355-362

Papers published in 2001

Aizicovici S., Colli P., Grasselli M.

Doubly nonlinear evolution equations with memory

available

Barbu V., Bernardi M.L., Colli P., Gilardi G.

Optimal control problems of phase relaxation models

109

available

Bernardi M.L., Bonfanti G., Luterotti F.

Abstract Schroedinger-type equations with lower order terms

available

Bernardi M.L., Pozzi G.A., Savaré G.

Variational equations of Schroedinger-type in non-cylindrical domains

171

available

Bernardi M.P., Bondioli C.

On a problem in the geometry of self-affine fractals

Bonetti E.

Global solution to a Frémond model for shape memory alloys with thermal memory

Colli P., Frémond M., Klein O.

Global existence of a solution to a phase field model for supercooling

available

Colli P., Gilardi G., Grasselli M., Schimperna G.

Global existence for the conserved phase field model with memory and quadratic nonlinearity

Colli P., Gilardi G., Grasselli M., Schimperna G.

The conserved phase-field system with memory

Colli P., Kenmochi N., Kubo M.

A phase field model with temperature dependent constraint

256

Ferrario B.

Pathwise regularity of non-linear Ito equations. Application to a stochastic Navies-Stokes equation

Luterotti F., Schimperna G., Stefanelli U.

Existence result for a nonlinear model related to irreversible phase changes

M³AS

available

Magenes E.

Ricordo di Jacques Louis Lions

4-A

Negri M., Paolini M.

Numerical minimization of the Mumford-Shah functional

Stefanelli U.

Analysis of a time-step discretization for the Penrose-Fife phase relaxation problem

available

Stefanelli U.

Well-posedness and time-discretization of a nonlinear Volterra integrodifferential equation

available

Papers published in 2000

Ambrosio L., Colli Franzone P., Savaré G.

Gamma-convergence of a family of anisotropic functionals with lack of coercivity

available

Barbu V., Colli P., Gilardi G., Grasselli M.

Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation

available

Colli P., Grasselli M.

Degenerate nonlinear Volterra integrodifferential equations

C. Corduneanu

I.W. Sandberg (ed.)

pp. 187-195

Colli P., Laurençot Ph., Stefanelli U.

Long-time behavior for the full one-dimensional Frémond model for shape memory alloys

available

Gilardi G.

The conserved phase field system with memory

N. Kenmochi (ed.)

pp. 80-88

Gilardi G., Krejcí P., Sprekels J.

A hysteresis approach to phase-field models with thermal memory

available

Nieri Cazzani M.G.

Un teorema di unicità per sistemi di equazioni a derivate parziali semilineari iperbolici in più variabili indipendenti

134

Nochetto R.H., Savaré G., Verdi C.

A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations

available

Rocca E.

Asymptotic analysis of a conserved phase-field model with memory for vanishing time relaxation

Schimperna G.

Abstract approach to evolution equations of phase-field type and applications

164

Schimperna G.

Singular limit of a transmission problem for the parabolic phase-field model

Schimperna G.

Some convergence results for a class of nonlinear phase-field evolution equations

250

Stefanelli U.

Error control for a time-discretization of the full one-dimensional Frémond model for shape memory alloys

available

Papers published in 1999

Aizicovici S., Colli P., Grasselli M.

A Stefan problem with memory and nonlinear boundary condition

M. Otani (ed.)

1105

pp. 53-61

Bernardi M.P., Bondioli C.

On some dimension problems for self-affine fractals

Bonetti E.

Some asymptotic analysis for hyperbolic relaxed Stefan problems with memory

Colli P., Gentili G., Giorgi C.

Non linear systems describing phase transition models compatible with thermodynamics

M³AS

Colli P., Gilardi G., Grasselli M.

Asymptotic analysis of a phase field model with memory for vanishing time relaxation

Colli P., Gilardi G., Grasselli M.

Asymptotic justification of the phase-field model with memory

Errata

Colli P., Gilardi G., Laurençot Ph., Novick-Cohen A.

Uniqueness and long-time behavior for the conserved phase-field system with memory

available

Colli P., Grasselli M., Sprekels J.

Automatic control via thermostats of a hyperbolic Stefan problem with memory

Colli P., Laurençot Ph., Sprekels J.

Global solution to the Penrose-Fife phase field model with special heat flux laws

P. Argoul

M. Frémond

Q.S. Nguyen (ed.)

pp. 181-188

Colli P., Sprekels J.

Global solution to the Penrose-Fife phase-field model with zero interfacial energy and Fourier law

Ferrario B.

Stochastic navier-Stokes equations: analysis of a noise to have a unique invariant measure

177

Gianazza U., Marchi S.

Interior regularity for solutions to some degenerate quasilinear obstacle problems

Schimperna G.

Convergence of phase-field equations to the Stefan model

Schimperna G.

Weak solution to a phase-field transmission problem in a concentrated capacity

Stefanelli U.

Error control of a nonlinear evolution problem related to phase transitions

available