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

Giuseppe Savaré; Augusto Visintin

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1997)

  • Volume: 8, Issue: 1, page 49-89
  • ISSN: 1120-6330

Abstract

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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.

How to cite

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Savaré, Giuseppe, and 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 8.1 (1997): 49-89. <http://eudml.org/doc/244178>.

@article{Savaré1997,
abstract = {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.},
author = {Savaré, Giuseppe, Visintin, Augusto},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Stefan problem; Concentrated capacity; Variational convergence; Subdifferential operators; Abstract evolution equations; concentrated capacity; subdifferential operators; abstract evolution equations},
language = {eng},
month = {4},
number = {1},
pages = {49-89},
publisher = {Accademia Nazionale dei Lincei},
title = {Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase},
url = {http://eudml.org/doc/244178},
volume = {8},
year = {1997},
}

TY - JOUR
AU - Savaré, Giuseppe
AU - Visintin, Augusto
TI - Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1997/4//
PB - Accademia Nazionale dei Lincei
VL - 8
IS - 1
SP - 49
EP - 89
AB - 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.
LA - eng
KW - Stefan problem; Concentrated capacity; Variational convergence; Subdifferential operators; Abstract evolution equations; concentrated capacity; subdifferential operators; abstract evolution equations
UR - http://eudml.org/doc/244178
ER -

References

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