Displaying similar documents to “A variational approach for a semi-linear parabolic equation with measure data”

Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase

Giuseppe Savaré, Augusto Visintin (1997)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We study a variational formulation for a Stefan problem in two adjoining bodies, when the heat conductivity of one of them becomes infinitely large. We study the «concentrated capacity» model arising in the limit, and we justify it by an asymptotic analysis, which is developed in the general framework of the abstract evolution equations of monotone type.