The Global Attractors for the Dissipative Generalized Hasegawa-Mima Equation  

作　　者：Rui-feng Zhang 

机构地区：[1]Institute of Applied Mathematics Henan University, College of Mathematics and Information Science Henan University, Kaifeng 475001, China

出　　处：《Acta Mathematicae Applicatae Sinica》2008年第1期19-28,共10页应用数学学报（英文版）

基　　金：Supported by the Natural Science Foundation of Henan Education Department (No.2007110004) ; Supported by the Natural Science Foundation of Henan University (No.06YBZR027).

摘　　要：The long time behavior of solutions of the generalized Hasegawa-Mima equation with dissipation term is considered. The existence of global attractors of the periodic initial value problem is proved, and the estimate of the upper bound of the Hausdorff and fractal dimensions for the global attractors is obtained by means of uniform a priori estimates method.

关 键 词：Hasegawa-Mima equation global attractors hausdorff dimension fractal dimension 

分 类 号：O175.2[理学—数学]