The global attractors and exponential attractors for a class of nonlinear damping Kirchhoff equation
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 10
Abstract
This paper consider the long time behavior of a class of nonlinear damped Kirchhoff equation    2 tt 1 t t u u u u u f x ï² ï€«ï¡ ï€ï§ï„ ï€ ï¡ ï€«ï¢ ïƒ‘ ï„ ï€½ . Study the attractor problem with initial boundary value conditions, then using priori estimate and the Galerkin method prove existence and uniqueness of solution, we obtain to the existence of the global attractors. The squeezing property of the nonlinear semi-group associated with this equation and the existence of exponential attractors are also proved.
Authors and Affiliations
Huixian Zhu, Chengfei Ai, Guoguang Lin
Keywords
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- EP ID EP651675
- DOI 10.24297/jam.v12i10.115
- Views 165
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