Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 8 (1997) no. 1, pp. 49-89
Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica
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.
@article{RLIN_1997_9_8_1_a3,
author = {Savar\'e, Giuseppe and Visintin, Augusto},
title = {Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase},
journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
pages = {49--89},
year = {1997},
volume = {Ser. 9, 8},
number = {1},
zbl = {0888.35139},
mrnumber = {MR1484545},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RLIN_1997_9_8_1_a3/}
}
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. Rendiconti Lincei. Matematica e applicazioni PY - 1997 SP - 49 EP - 89 VL - 8 IS - 1 UR - http://geodesic.mathdoc.fr/item/RLIN_1997_9_8_1_a3/ LA - en ID - RLIN_1997_9_8_1_a3 ER -
%0 Journal Article %A Savaré, Giuseppe %A Visintin, Augusto %T Variational convergence of nonlinear diffusion equations: applications to concentrated capacity problems with change of phase %J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni %D 1997 %P 49-89 %V 8 %N 1 %U http://geodesic.mathdoc.fr/item/RLIN_1997_9_8_1_a3/ %G en %F RLIN_1997_9_8_1_a3
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. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 8 (1997) no. 1, pp. 49-89. http://geodesic.mathdoc.fr/item/RLIN_1997_9_8_1_a3/