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The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term
Mathematical of Yunnan University, Kunming, China
Mathematical of Yunnan University, Kunming, China
Mathematical of Yunnan University, Kunming, China
- 1 Mathematical of Yunnan University, Kunming, China
- 2 Mathematical of Yunnan University, Kunming, China
- 3 Mathematical of Yunnan University, Kunming, China
International Journal of Modern Nonlinear Theory and Application·Volume 05 (2016)·Pages 203–217·Published 10 November 2016·DOI10.4236/ijmnta.2016.54019
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Abstract
We investigate the global well-posedness and the global attractors of the solutions for the Higher-order Kirchhoff-type wave equation with nonlinear strongly damping: . For strong nonlinear damping σ and ? , we make assumptions (H 1 ) - (H 4 ). Under of the proper assume, the main results are existence and uniqueness of the solution in proved by Galerkin method, and deal with the global attractors.
KeywordsStrongly Nonlinear DampedHigher-Order Kirchhoff EquationThe Existence and UniquenessThe Global Attractors
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