| Full text | |
| Author(s): |
Total Authors: 4
|
| Affiliation: | [1] Univ Estadual Londrina, Dept Math, BR-86057970 Londrina, PR - Brazil
[2] Univ Sao Paulo, Inst Math & Comp Sci, BR-13566590 Sao Carlos, SP - Brazil
[3] Zhengzhou Univ, Dept Math, Zhengzhou 450001 - Peoples R China
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 259, n. 9, p. 4831-4862, NOV 5 2015. |
| Web of Science Citations: | 8 |
| 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. (C) 2015 Elsevier Inc. All tights reserved. (AU) | |
| FAPESP's process: | 12/24266-7 - Thermoelasticity of hyperbolic type: new trends and assymtotic dynamics |
| Grantee: | Ma To Fu |
| Support type: | Research Grants - Visiting Researcher Grant - Brazil |
| FAPESP's process: | 13/07039-0 - Nonautonomous hyperbolic thermoelasticity |
| Grantee: | Ma To Fu |
| Support type: | Scholarships abroad - Research |