TITLE:
The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term
AUTHORS:
Yuting Sun, Yunlong Gao, Guoguang Lin
KEYWORDS:
Strongly Nonlinear Damped, Higher-Order Kirchhoff Equation, The Existence and Uniqueness, The Global Attractors
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.5 No.4,
November
28,
2016
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 (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.