Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system.
Bonetti, Elena, Bonfanti, Giovanna (2005)
Abstract and Applied Analysis
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Bonetti, Elena, Bonfanti, Giovanna (2005)
Abstract and Applied Analysis
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Gianni Gilardi, Andrea Marson (2005)
Applications of Mathematics
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We deal with a class of Penrose-Fife type phase field models for phase transitions, where the phase dynamics is ruled by a Cahn-Hilliard type equation. Suitable assumptions on the behaviour of the heat flux as the absolute temperature tends to zero and to are considered. An existence result is obtained by a double approximation procedure and compactness methods. Moreover, uniqueness and regularity results are proved as well.
Durando, S. (1999)
Rendiconti del Seminario Matematico
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E. Acerbi, G. Bouchitté (2008)
Annales de l'I.H.P. Analyse non linéaire
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Liselott Flodén, Marianne Olsson (2007)
Applications of Mathematics
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The main focus in this paper is on homogenization of the parabolic problem . Under certain assumptions on , there exists a -limit , which we characterize by means of multiscale techniques for , . Also, an interpretation of asymptotic expansions in the context of two-scale convergence is made.