Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase
Savaré, Giuseppe ; Visintin, Augusto
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 8 (1997), p. 49-89 / Harvested from Biblioteca Digitale Italiana di Matematica
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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.

Si studia la formulazione variazionale del problema di Stefan in due corpi adiacenti, in uno dei quali la conducibilità termica tende all'infinito. Utilizzando e sviluppando alcuni concetti e metodi della teoria della Γ-convergenza e delle equazioni di evoluzione astratte negli spazi di Hilbert, si riesce a giustificare il modello limite, che rientra nella classe dei problemi in «capacità concentrata».

Publié le : 1997-04-01
@article{RLIN_1997_9_8_1_49_0,
     author = {Giuseppe Savar\'e and Augusto Visintin},
     title = {Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {8},
     year = {1997},
     pages = {49-89},
     zbl = {0888.35139},
     mrnumber = {1484545},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1997_9_8_1_49_0}
}

Savaré, Giuseppe; Visintin, Augusto. Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 8 (1997) pp. 49-89. http://gdmltest.u-ga.fr/item/RLIN_1997_9_8_1_49_0/

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