Spatial Stability for the Quasi-Static Problem in Thermoelastic Diffusion Theory

被引：0
|
作者：
Moncef Aouadi
机构：
[1] Rustaq Faculty of Education,
来源：
Acta Applicandae Mathematicae | 2009年 / 106卷
关键词：
Spatial stability; Decay; Quasi-static problem; Thermoelastic diffusion;
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摘要：
In this paper we derive some spatial stability results for the quasi-static problem in thermoelastic diffusion theory for anisotropic media. The coupled system of equations of thermoelasticity with diffusion is a coupling of an elliptic equation with two parabolic equations. It poses some new mathematical difficulties. Here we study the exponential spatial decay of solutions. An upper bound for the amplitude in terms of the boundary and initial conditions is obtained. The extension of the spatial stability results is also treated.
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