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

页码：739 / 760

页数：22

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