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  Gianni Gilardi

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Scientific publications  (inverse cronological order)

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• Colli P., Gilardi G., Podio-Guidugli P., Sprekels J.:
  Well-posedness and long-time behaviour for a nonstandard viscous Cahn-Hilliard system
  SIAM J. Appl. Math. 71 (2011) 1849-1870.
  download

• Gilardi G., Miranville, A., Schimperna G.:
  Long-time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions
  Chinese Annals of Mathematics Series B 31 (2010) 679-712.

• Colli P., Gilardi G., Podio-Guidugli P., Sprekels J.:
  A temperature-dependent phase segregation problem of the Allen-Cahn type
  Adv. Math. Sci. Appl. 20 (2010) 219-234.

• Colli P., Gilardi G., Podio-Guidugli P., Sprekels J.:
  Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type
  Math. Models Methods Appl. Sci. 20 (2010) 519-541.

• Colli P., Gilardi G., Podio-Guidugli P., Sprekels J.:
  Global solution to a phase transition problem of the Allen-Cahn type
  in "Nonlinear Evolution Equations and Mathematical Modeling"
  Proc. RIMS Symposium, Research Institute for Mathematical Sciences, Kyoto University, October 20-23, 2009
  T. Aiki (ed.), Surikaisekikenkyusho Kokyuroku 1693, Kyoto 2010, pp. 104-110.

• Bonetti E., Colli P., Fabrizio M., Gilardi G.:
  Existence and boundedness of solutions for a singular phase field system
  J. Differential Equations 246 (2009) 3260-3295.
  download

• Gilardi G., Miranville A., Schimperna G.:
  On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions
  Commun. Pure Appl. Anal. 8 (2009) 881-912.
  download

• Gilardi G., Stefanelli U.:
  Existence for a doubly nonlinear Volterra equation
  J. Math. Anal. Appl. 333 (2007) 839-862.
  download

• Gilardi G.:
  On a conserved phase field model with irregular potentials and dynamic boundary conditions
  Istit. Lombardo Accad. Sci. Lett. Rend. A 141 (2007) 129-161.
  download

• Gilardi G., Miranville A.:
  On the Cahn-Hilliard equation with dynamic boundary conditions
  pubblicazione IMATI-CNR n.6PV07/6/5 (2007) 1-28.

• Gilardi G., Rocca E.:
  Well posedness and long time behaviour for a singular phase field system of conserved type
  IMA J. Appl. Math. 72 (2007) 498-530.

• Bonetti E., Colli P., Fabrizio M., Gilardi G.:
  Global solution to a singular integrodifferential system related to the entropy balance
  Nonlinear Anal. 66 (2007) 1949-1979.
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• Gilardi G., Rocca E.:
  Convergence of phase field to phase relaxation governed by the entropy balance with memory
  Math. Methods Appl. Sci. 29 (2006) 2149-2179.

• Gilardi G., Stefanelli U.:
  Time-discretization and global solution for a doubly nonlinear Volterra equation
  J. Differential Equations 228 (2006) 707-736.
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• Bonetti E., Colli P., Fabrizio M., Gilardi G.:
  Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity
  Discrete Contin. Dyn. Syst. Ser. B 6 (2006) 1001-1026 (electronic).
  download

• G. Gilardi:
  On Some Penrose-Fife Type Systems with Special Heat Flux Laws"
  in "Mathematical Methods and Models in Phase Transitions", pp. 177-195, A. Miranville, ed., Nova Science Publishers, Inc., New York, 2005.

• G. Gilardi, A. Marson:
  On a conserved Penrose-Fife type system
  Appl. Math. 50 (2005) 465-499.
  download

• P. Colli, G. Gilardi, E. Rocca, G. Schimperna:
  On a Penrose-Fife phase field model with non-homogeneous Neumann boundary conditions for the temperature
  Differential Integral Equations 17 (2004) 511-534.
  download

• G. Gilardi:
  On a phase transition model of Penrose-Fife type
  Proc. Nonlinear Evolution Problems
  Rome, January 28-31, 2003,
  Rend. Mat. Acc. Lincei, s. 9, 15 (2004) 169-181.

• G. Gilardi, A. Marson:
  On a Penrose-Fife type system with Dirichlet boundary conditions for temperature
  Math. Methods Appl. Sci. 26 n. 15 (2003) 1303-1325.
  download

• G. Gilardi, E. Rocca:
  Su un modello conservativo di tipo Penrose-Fife con condizioni di Neumann
  Istituto Lombardo (Rend. Sc.) A 136-137 (2002-2203) 185-207.

• E. Bonetti, P. Colli, W. Dreyer, G. Gilardi, G. Schimperna, J. Sprekels:
  On a model for phase separation in binary alloys driven by mechanical effects
  Physica D 165 (2002) 48-65.
  download

• G. Gilardi:
  Solid-solid phase transition in a mechanical system
  Proc. Modelli Matematici e Problemi Analitici per Materiali Speciali
  Cortona, 25-29 giugno 2001;
  "Mathematical Models and Methods for Smart Materials",
  M. Fabrizio, B. Lazzari & A. Morro (ed.),
  Ser. Adv. Math. Appl. Sci. 62
  World Scientific Publishing Co. 2002, pp. 123-130.

• V. Barbu, M.L. Bernardi, P. Colli, G. Gilardi:
  Optimal control problems of phase relaxation models
  J. Optim. Theory Appl. 109 (2001) 557-585.

• P. Colli, G. Gilardi, M. Grasselli, G. Schimperna:
  Global existence for the conserved phase field model with memory and quadratic nonlinearity
  Portugal. Math. 58 (2001) 159-170.

• P. Colli, G. Gilardi, M. Grasselli, G. Schimperna:
  The conserved phase-field system with memory
  Advances Math. Sci. Appl. 11 (2001) 265-291.

• V. Barbu, P. Colli, G. Gilardi, M. Grasselli:
  Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation
  Differential Integral Equations, 13 (2000) 1233-1262.

• G. Gilardi: The conserved phase field system with memory
  in Free boundary problems: theory and applications
  Proc. International Conference, Chiba, Japan, November 8-13,1999. N. Kenmochi (ed.), Gakuto Internat. Ser. Math. Sci. Appl., 13, Gakkotosho, Tokyo, 2000, 80-88.

• G. Gilardi, P. Krejcí, J. Sprekels:
  A hysteresis approach to phase-field models with thermal memory
  Math. Methods Appl. Sci., 23 (2000) 909-922.

• P. Colli, G. Gilardi, M. Grasselli:
  Asymptotic analysis of a phase field model with memory for vanishing time relaxation
  Hiroshima Math. J. 29 (1999) 117-143.

• P. Colli, G. Gilardi, M. Grasselli:
  Asymptotic justification of the phase-field model with memory
  Comm. Appl. Nonlinear Anal. 6 (1999) 1-27.
  Errata, Comm. Appl. Nonlinear Anal. 7 (2000) 101-102.

• P. Colli, G. Gilardi, P. Laurençot, A. Novick-Cohen:
  Uniqueness and long-time behaviour for the conserved phase-field system with memory
  Discrete Contin. Dynam. Systems, 5 (1999) 375-390.

• P. Fernandes, G. Gilardi:
  A functional framework for electromagnetics under realistic assumptions
  proc, IV Congresso della S.I.M.A.I., 1-5 giugno 1998, Giardini Naxos, (1998) 56-58.

• G. Geymonat, G. Gilardi:
  Contre-éxemples a l'inégalité de Korn et au lemme de Lions dans les domaines irréguliers
  in Équations aux dérivées partielles et applications, Articles dédiés a Jacques-Louis Lions, 541-548, Gauthier-Villars, Paris, 1998.

• P. Colli, G. Gilardi, M. Grasselli:
  Global smooth solution to the standard phase-field model with memory
  Advances in Differential Equations, 2 (1997) 453-486.

• P. Colli, G. Gilardi, M. Grasselli:
  Weak solution to a hyperbolic Stefan problem with memory
  NoDEA Nonlinear differ. equ. appl., 4 (1997) 123-132.

• P. Colli, G. Gilardi, M. Grasselli:
  Well-posedness of the weak formulation for the phase-field model with memory
  Advances in Differential Equations, 2 (1997) 487-508.

• P. Fernandes, G. Gilardi:
  Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions
  M ³AS Math. Models Methods Appl. Sci., 7 (1997) 957-991.

• G. Gilardi, S. Luckhaus:
  A regularity result for the solution of the dam problem
  Nonlinear Analysis TMA, 26 (1996) 113-138.

• P. Colli, G. Gilardi, M. Grasselli:
  Convergence of phase field to phase relaxation models with memory
  Ann. Univ. Ferrara, Sez. VII, Sc. Mat., XLI (1995) 1-14.

• J. Carrillo, J.I. Díaz, G. Gilardi:
  The propagation of the free boundary of the solution in the dam problem and related problems
  Applicable Analysis, 49 (1993) 255-276.

• G. Gilardi:
  Recent results on the dam problem
  in Boundary Value Problems for Partial Differential Equations,
  Lions J.-L. & Baiocchi C. eds., Res. Notes Appl. Math. 29, 387-392, Masson, Paris, 1993.

• G. Gilardi, D. Kröner:
  The dam problem in unbounded domains
  Ann. Mat. Pura Appl., (IV) CLXIV (1993) 321-364.

• G. Gilardi:
  The support of the solution in the dam problem
  in Free boundary problems in fluid flow with applications, (Montreal, PQ, 1990) 151-156,
  Pitman Res. Notes Math. Ser., 282, Longman Sci. Tech., Harlow, 1993.

• G. Gilardi, S. Luckhaus:
  Extension of a regularity result concerning the dam problem
  Rend. Mat. Acc. Lincei, s. 9, 2 (1991) 287-296.

• J. Carrillo, G. Gilardi:
  La vitesse de propagation dans le problème de la digue
  Ann. Faculté des Sciences de Toulouse, 11 (1990) 7-28.

• G. Gilardi:
  Filtration problems in unbounded domains
  in Free Boundary Problems: Theory and Applications, proc. International Colloquium on Free Boundary Problems: Theory and Applications, Irsee/Bavaria, June 11-20, 1987, Hoffmann & Sprekels eds., Vol. I 428-431, Longman, 1990.

• F. Gastaldi, G. Gilardi:
  A class of noncoercive variational inequalities
  Comm. on Partial Diff. Equations, 14 (1989) 1471-1507.

• F. Gastaldi, G. Gilardi:
  On a definition of seminorm in W^s,p(Gamma)
  Revista Matematica Univ. Complutense Madrid, 2 (1989) 229-240.

• G. Gilardi:
  The speed of propagation in the dam problem
  proc. "I Reunion Hispano-Italiana de Análisis non Lineal y Matemática Aplicada", El Escorial, June 5-9, 1989, pubbl. IAC-CNR 27 (1989) 99-106.

• G. Gilardi:
  Realtà e astrazione: oltre gli spazi di dimensione finita
  L'insegnamento della matematica e delle scienze integrate, 10 (1987) 951-976.

• F. Brezzi, G. Gilardi:
  Fundamentals of P.D.E. for numerical analysis
  pubbl. IAN-CNR 446 (1984) 1-183.

• H.W. Alt, G. Gilardi:
  The free boundary in the dam problem
  in Free boundary problems: theory and applications, proc. Interdisciplinary Symposium on Free Boundary Problems: Theory and Applications, Montecatini/Italia, June 17-26, 1981, Fasano & Primicerio eds., Vol. I, Pitman, London, 1983 69-76.

• L. Gastaldi, G. Gilardi:
  An error estimate for an approximation of a parabolic variational inequality
  BUMI 1-B (1982) 501-521.

• G. Gilardi:
  Proprietà della frontiera libera in un problema di filtrazione
  Rend. Sem Mat. Fis. Milano, LI (1981) 125-132.

• H.W. Alt, G. Gilardi:
  The behaviour of the free boundary for the dam problem
  Ann. Sc. Norm. Sup. Pisa (IV) IX (1981) 571-626.

• G. Gilardi:
  The behaviour of the free boundary near the fix boundary in the dam problem
  in Recent methods in nonlinear analysis and applications,
  proc. Sem. SAFA IV, Napoli, March 21-28, 1980, eds. Rionero & al., 347-354, Liguori, 1981.

• L.A. Caffarelli, G. Gilardi:
  Monotonicity of the free boundary in the two-dimensional dam problem
  Ann. Sc. Norm. Sup. Pisa (IV) VII (1980) 523-537.

• G. Gilardi:
  The evolution dam problem
  in Free Boundary Problems, proc. Sem. Pavia September-October 1979, Ist. Naz. di Alta Matematica, Vol. I, 209-217, Roma, 1980.

• M.L. Bernardi, E. Gagliardo, G. Gilardi:
  Abiomelos 1979: mathematical structures for harmony and melody
  Ist. Lombardo Accad. Sci. Lett. Rend. A 113 (1979) 265-273.

• F. Bonomi, P. Colli Franzone, P. De Maria, G. Gilardi, M. Stefanelli:
  Simulation of neutrophil production and control in man
  pubbl. IAN-CNR 226 (1979) 1-7.

• G. Gilardi:
  A new approach to evolution free boundary problems
  Comm. on Partial Diff. Equations, 4 (1979) 1099-1123.

• G. Gilardi:
  Studio di una disequazione quasivariazionale relativa ad un problema di filtrazione in tre dimensioni
  Ann. Mat. Pura Appl. (IV) CXIII (1977) 1-17.

• G. Gilardi:
  Studio di una famiglia di disequazioni quasi-variazionali connessa con un problema di filtrazione
  BUMI 13-B (1976) 138-159.

• G. Gilardi:
  Sul problema misto del tipo Dirichlet-Neumann per un'equazione ellittica non lineare
  Ist. Lombardo Accad. Sci. Lett. Rend. A 108 (1974) 525-556.

• G. Gilardi:
  Teoremi di regolarità per la soluzione di un'equazione differenziale astratta del secondo ordine
  Ist. Lombardo Accad. Sci. Lett. Rend. A 106 (1972) 641-675.

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Last update: February 9, 2012

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