LONG TIME BEHAVIOR OF SOLUTIONS OF DAVEY-STEWARTSON EQUATIONS  

作　　者：郭柏灵 李用生 

出　　处：《Acta Mathematicae Applicatae Sinica》2001年第1期86-97,共12页应用数学学报（英文版）

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

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.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.

关 键 词：Davey-Stewartson equations bounded absorbing set global attractor Hausdorff dimension fractal dimension 

分 类 号：O175[理学—数学]