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November  2001, 1(4): 463-470. doi: 10.3934/dcdsb.2001.1.463

Structural stability and continuous dependence of solutions of thermoelasticity of type III

Ramon Quintanilla 1,

1. 

Matemática Aplicada 2, E.T.S.E.I.T.- U.P.C., Colom 11, 08222 Terrassa, Barcelona, Spain

Received  November 2000 Revised  May 2001 Published  September 2001

We prove a structural stability result on the coupling coefficients and continuous dependence on the external data in the thermoelastic theory called of type III. The only condition we require on the elasticity tensor is the symmetry of the coefficients. We use logarithmic convexity arguments.
Keywords: Structural stability, thermoelasticity of type III, logarithmic convexity..
Mathematics Subject Classification: 74F05, 35Q9.
Citation: Ramon Quintanilla. Structural stability and continuous dependence of solutions of thermoelasticity of type III. Discrete and Continuous Dynamical Systems - B, 2001, 1 (4) : 463-470. doi: 10.3934/dcdsb.2001.1.463
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