|
| ASYMPTOTIC BEHAVIOR OF WAVE EQUATION OF KIRCHHOFF TYPE WITH STRONG DAMPING |
| Zhihua Song,Yuanyuan Zhang |
| (School of Math. and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450045, Henan, PR China;Teaching and Research Department of Math., Kaifeng University, Kaifeng 475000, Henan, PR China) |
| DOI： |
| Abstract: |
| The paper deals with the strongly damped nonlinear wave equation of Kirchhoff type. The existence of a global attractor is proven by using the decomposition, and moreover, the structure of the global attractor is established. Our results improve the previous results. |
| Key words: wave equations; global attractors; critical nonlinearity |