Structural stability results for the thermoelasticity of type III
Bull. Korean Math. Soc. 2014 Vol. 51, No. 5, 1269-1279
https://doi.org/10.4134/BKMS.2014.51.5.1269
Printed September 30, 2014
Yan Liu
Guangdong University of Finance
Abstract : 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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