LONG TIME BEHAVIOR OF SOLUTIONS OF DAVEY-STEWARTSON EQUATIONS

作     者：郭柏灵 李用生 

作者机构：Institute of Applied Physics and Computational Mathematics Beijing China Department of Mathematics Huazhong University of Science and Technology Wuhan China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2001年第17卷第1期

页      面：86-97页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This project is supported Supported by National Natural Science Foundation of China 

主　　题：Davey-Stewartson equations bounded absorbing set global attractor Hausdorff dimension fractal dimension 

摘      要：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.