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Long-time behavior of a class of thermoelastic plates with nonlinear strain.
- Source :
-
Journal of Differential Equations . Nov2015, Vol. 259 Issue 9, p4831-4862. 32p. - Publication Year :
- 2015
-
Abstract
- In recent years a class of vibrating plates with nonlinear strain of p -Laplacian type was studied by several authors. The present paper contains a first thermoelastic model of that class of problems including both Fourier and non-Fourier heat laws. Our main result establishes the existence of global and exponential attractors for the strongly damped problem through a stabilizability inequality. In addition, for the weakly damped problem, we establish the exponential stability of its Galerkin semiflows. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 259
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 108613233
- Full Text :
- https://doi.org/10.1016/j.jde.2015.06.026