## 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
Asymptotic behaviour and exponential stability for thermoelastic problem with localized damping
✍ Scribed by Hong-jun Gao; Yu-juan Zhao
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 192 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0253-4827
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract We consider the Dirichlet problem for a non‐local reaction–diffusion equation with integral source term and local damping involving power non‐linearities. It is known from previous work that for subcritical damping, the blow‐up is global and the blow‐up profile is uniform on all compact
## Abstract We consider a class of quasi‐linear evolution equations with non‐linear damping and source terms arising from the models of non‐linear viscoelasticity. By a Galerkin approximation scheme combined with the potential well method we prove that when __m__<__p__, where __m__(⩾0) and __p__ ar