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- Title
Asymptotic behaviour and exponential stability for thermoelastic problem with localized damping.
- Authors
Gao Hong-jun; Zhao Yu-juan
- Abstract
A semi-linear thermoelastic problem with localized damping is considered, which is one of the most important mathematical models in material science. The existence and decays exponentially to zero of solution of this problem are obtained. Moreover, the existence of absorbing sets is achieved in the non-homogeneous case. The result indicates that the system which we studied here is asymptotic stability.
- Subjects
THERMOELASTICITY; CONTINUUM mechanics; EXPONENTS; LOGARITHMS; MATHEMATICAL models
- Publication
Applied Mathematics & Mechanics, 2006, Vol 27, Issue 11, p1557
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/s10483-006-1114-1