The global attractors and dimensions estimation for the Kirchho type wave equations with nonlinear strongly damped terms
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 3
Abstract
This paper studies the long time behavior of the solution to the initial boundaryvalue problems for a class of strongly damped Kirchho type wave equations:utt "1ut + j ut jp1 ut + j u jq1 u (kruk2)u = f(x):Firstly, we prove the existence and uniqueness of the solution by priori estimate and the Galerkin method. Then we obtain to the existence of the global attractor. Finally, we consider that the estimation of the upper bounds of Hausdor and fractal dimensionsfor the global attractor is obtained.
Authors and Affiliations
Chengfei Ai, Huixian Zhu, Guoguang Lin
Keywords
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- EP ID EP651731
- DOI 10.24297/jam.v12i3.492
- Views 131
- Downloads 0
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