## Abstract We show that the solution of a semilinear transmission problem between an elastic and a thermoelastic material, decays exponentially to zero. That is, denoting by β°(t) the sum of the first, second and third order energy associated with the system, we show that there exist positive const
Asymptotic behaviour for a two-dimensional thermoelastic model
β Scribed by M. Fabrizio; B. Lazzari; J. M. Rivera
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 221 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.798
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β¦ Synopsis
Abstract
In this paper we study a thermoelastic material with an internal structure which binds the materials fibres to a quadratic behaviour. Moreover, a hereditary constitutive law for heat flux is supposed. We prove results of asymptotic stability and exponential decay for the evolution problem in twoβdimensional space domain. Copyright Β© 2006 John Wiley & Sons, Ltd.
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