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| Long-Time Dynamics for a Nonlinear Viscoelastic Kirchhoff Plate Equation |
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Citation： |
Xiaoming PENG,Yadong SHANG,Huafei DI.Long-Time Dynamics for a Nonlinear Viscoelastic Kirchhoff Plate Equation[J].Chinese Annals of Mathematics B,2020,41(4):627~644 |
| Page view： 498
Net amount： 352 |
Authors： |
Xiaoming PENG; Yadong SHANG;Huafei DI |
Foundation： |
This work was supported by the Natural Science Foundation of Guangdong Province (No. 2016A03 0310262). |
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| Abstract： |
This paper is devoted to study the long-time dynamics for a nonlinear viscoelastic Kirchhoff plate equation. Under some growth conditions of g and f, the existence of a global attractor is granted. Furthermore, in the subcritical case, this global attractor has finite Hausdorff and fractal dimensions. |
Keywords： |
Global attractor, Kirchhoff plate, Memory kernel, Finite Hausdorff dimensions |
Classification： |
35B41, 37L30, 35L75 |
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