Nonlinear well-posedness and rates of decay in thermoelasticity with second sound

被引：24

作者：

Racke, Reinhard ^{[1
]}

Wang, Ya-Guang ^{[2
]}

机构：

[1] Univ Konstanz, Dept Math & Stat, D-78457 Constance, Germany

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2008年 / 5卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Cauchy problems; strictly hyperbolic thermoelasticity; global existence;

D O I：

10.1142/S021989160800143X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Cauchy problem in nonlinear thermoelasticity with second sound in one space dimension is considered. Due to Cattaneo's law, replacing Fourier's law for heat conduction, the system is hyperbolic. The local well-posedness as a strictly hyperbolic system is investigated first, and then the relation between energy estimates for non-symmetric hyperbolic systems and well-posedness are discussed. For the global small solution, the long time behavior is described and the decay rates of the L-2-norm are obtained.

引用

页码：25 / 43

页数：19

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