A phase transition model with the entropy balance

被引：22
作者：
Bonetti, E
Frémond, M
机构：
[1] Univ Pavia, Dipartimento Matemat F Casorati, Lab Lagrange, I-27100 Pavia, Italy
[2] Lab Cent Ponts & Chaussees, Lab Lagrange, F-75372 Paris 15, France
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2003年 / 26卷 / 07期
关键词：
D O I：
10.1002/mma.366
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a phase transition model in which the energy balance is equivalently rewritten in terms of the entropy balance. The thermodynamical consistence of the model is proved and also under physically meaningful assumptions on the data, existence of a solution is stated for the corresponding initial boundary values problem by a maximum principle. Hence, L-1-arguments yield the uniqueness of the solution and show that it evolves in accordance with thermodynamics and everyday practical properties. Copyright (C) 2003 John Wiley Sons, Ltd.
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页码：539 / 556
页数：18
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