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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 12
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Original Articles

Exponential stability in the theory of thermoelastic diffusion mixtures

Pages 2169-2187 | Received 18 Nov 2010, Accepted 03 Jun 2011, Published online: 05 Jul 2011
 

Abstract

In this article, we investigate the asymptotic behaviour of solutions to the one-dimensional initial-boundary value problem in the linear theory of thermoelastic diffusion mixtures recently developed by Aouadi [M. Aouadi, Qualitative results in the theory of thermoelastic diffusion mixtures, J. Thermal Stresses 33 (2010), pp. 595–615]. Our main result is to establish the necessary and sufficient conditions over the coefficients of the system to get the exponential stability of the corresponding semigroup.

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