Savaré, Giuseppe and Visintin, Augusto:
Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase (Convergenza variazionale di equazioni di diffusione non lineari: applicazioni ai problemi di cambiamento di fase in capacità concentrata)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 8 (1997), fasc. n.1, p. 49-89, (English)
pdf (3.29 MB), djvu (776 Kb). | MR1484545 | Zbl 0888.35139
Sunto
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 \( \Gamma \)-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».
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