Weak solutions to a phase-field model with non-constant thermal conductivity

被引：7
|
作者：
Laurencot, P [1 ]
机构：
[1] Univ Nancy, Inst Elie Cartan Nancy, Nancy, France
来源：
QUARTERLY OF APPLIED MATHEMATICS | 1997年 / 55卷 / 04期
关键词：
D O I：
10.1090/qam/1486546
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the existence of weak solutions to a phase-field model when the thermal conductivity vanishes for some values of the order parameter. We obtain weak solutions for a general class of free energies, including non-differentiable ones. We also study the omega-limit set of these weak solutions, and investigate their convergence to a solution of a degenerate Cahn-Hilliard equation.
引用
收藏
页码：739 / 760
页数：22
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