Existence of Strong Solutions for a Fully Hyperbolic Phase-Field Model Based on Type III Heat Conduction with a Logarithmic Nonlinear Term

被引：0
|
作者：
Alain Miranville
机构：
[1] Université de Poitiers,Laboratoire de Mathématiques et Applications, UMR CNRS 7348
来源：
Mediterranean Journal of Mathematics | 2014年 / 11卷
关键词：
35K55; 35L15; Fully hyperbolic phase-field model; type III heat conduction; well-posedness;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove the existence (and also the uniqueness) of strong solutions for a fully hyperbolic phase-field model based on type III heat conduction. The model consists of the hyperbolic relaxation of the usual equation for the temperature, coupled with the equation for the thermal displacement variable. We also study the limit problem, as the relaxation parameter goes to 0.
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页码：1129 / 1148
页数：19
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