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Bull. Korean Math. Soc. 2014; 51(5): 1269-1279

Printed September 30, 2014

https://doi.org/10.4134/BKMS.2014.51.5.1269

Copyright © The Korean Mathematical Society.

Structural stability results for the thermoelasticity of type III

Yan Liu

Guangdong University of Finance

Abstract

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The equations arising from the thermoelastic theory are analyzed in a linear approximation. First, we establish the convergence result on the coefficient $c$. Next, we establish that the solution depends continuously on changes in the coefficient $c$. The main tool used in this paper is the energy method.

Keywords: convergence result, continuous dependence, thermoelasticity of type III, structural stability

MSC numbers: 35B40, 35L20, 35L15

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