## Communicated by M. Slemrod Abstract--We study the thermoelastic system and we prove that the divergence of the displacement vector field and the thermal difference decay exponentially as time goes to infinity. Moreover, we show that the decay cannot hold in general.
Asymptotic behaviour in incremental thermoelasticity
✍ Scribed by Ramón Quintanilla
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 272 KB
- Volume
- 125
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## 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 ℰ(t) the sum of the first, second and third order energy associated with the system, we show that there exist positive const
## 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 probl