Abstract
This paper is concerned with the quasi-static problem of thermoelasticity. The classical system of equations of thermoelasticity is a coupling of an elliptic equation with a parabolic equation. 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 to thermoelasticity of type III is also treated.
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Dedicated to C.O. Horgan on the occasion of his 60th birthday
Mathematics Subject Classifications (2000)
74F05, 74G50.
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Quintanilla, R. Spatial Stability for the Quasi-static Problem of Thermoelasticity. J Elasticity 76, 93–105 (2004). https://doi.org/10.1007/s10659-004-3334-7
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DOI: https://doi.org/10.1007/s10659-004-3334-7