The equations of thermoelasticity with time-dependent coefficients

被引：2

作者：

Weinmann, Olaf ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 350卷 / 01期

关键词：

Hyperbolic thermoelasticity; Hyperbolic differential equation; Boundary value problem; Partial differential equation; Time-dependent coefficients; EXPONENTIAL STABILITY; 2ND SOUND;

D O I：

10.1016/j.jmaa.2008.09.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an inhomogeneous thermoelastic system with second sound in one space dimension where the coefficients are space- and time-dependent. For Dirichlet-Neumann type boundary conditions the global existence of smooth solutions is proved by using the theory of Kato. Then the asymptotic behavior of the solutions is discussed. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：81 / 99

页数：19

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