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

Ramon Quintanilla

doi:10.3934/dcdsb.2001.1.463

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2001, Volume 1, Issue 4: 463-470. Doi: 10.3934/dcdsb.2001.1.463

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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

Received: November 2000

Revised: May 2001

Published: November 2001

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Abstract

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.

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Mathematics Subject Classification: 74F05, 35Q99.

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