Long time behavior of solutions of Davey-Stewartson equations |
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| Authors: | Guo Boling Li Yongsheng |
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| Institution: | (1) Institute of Applied Physics and Computational Mathematics, 100088 Beijing, China;(2) Department of Mathematics, Huazhong University of Science and Technology, 430074 Wuhan, China |
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| Abstract: | In the present paper we study the long time behavior of solutions to the Davey-Stewartson system in the Banach spaces. We make use of the properties of the semigroup generated by the linear principal operator in Lp() and prove that the Davey-Stewartson system possesses a compact global attractor Ap in Lp(). Furthermore, one show that the attractor is in fact independent of p and prove the attractor has finite Hausdorff and fractal dimensions. |
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| Keywords: | Davey-Stewartson equations bounded absorbing set global attractor Hausdorff dimension fractal dimension |
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