Spatial Stability for the Quasi-Static Problem in Thermoelastic Diffusion Theory |
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Authors: | Moncef Aouadi |
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Institution: | (1) Rustaq Faculty of Education, Department of Mathematics and Computer Science, P.O. Box 10, Rustaq, 329, Oman |
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Abstract: | In this paper we derive some spatial stability results for the quasi-static problem in thermoelastic diffusion theory for
anisotropic media. The coupled system of equations of thermoelasticity with diffusion is a coupling of an elliptic equation
with two parabolic equations. 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 is also treated. |
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Keywords: | Spatial stability Decay Quasi-static problem Thermoelastic diffusion |
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