On a phase-field model with a logarithmic nonlinearity

被引：0

作者：

Alain Miranville

机构：

[1] Université de Poitiers,Laboratoire de Mathématiques et Applications, UMR CNRS 7348, SP2MI

来源：

Applications of Mathematics | 2012年 / 57卷

关键词：

phase field system; Maxwell-Cattaneo law; well-posedness; logarithmic potential; 35K55; 35J60; 80A22;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Our aim in this paper is to study the existence of solutions to a phase-field system based on theMaxwell-Cattaneo heat conduction law, with a logarithmic nonlinearity. In particular, we prove, in one and two space dimensions, the existence of a solution which is separated from the singularities of the nonlinear term.

引用

页码：215 / 229

页数：14

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