The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term  

作　　者：Yuting Sun Yunlong Gao Guoguang Lin Yuting Sun;Yunlong Gao;Guoguang Lin(Mathematical of Yunnan University, Kunming, China)

机构地区：[1]Mathematical of Yunnan University, Kunming, China

出　　处：《International Journal of Modern Nonlinear Theory and Application》2016年第4期203-217,共16页现代非线性理论与应用（英文）

摘　　要：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 (H₁) - (H₄). 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.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 (H₁) - (H₄). 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.

关 键 词：Strongly Nonlinear Damped Higher-Order Kirchhoff Equation The Existence and Uniqueness The Global Attractors 

分 类 号：O17[理学—数学]