THE FINITE DIMENSIONAL BEHAVIOUR FOR THE HIGHER-ORDER NONLINEAR GINZBURG-LANDAU SYSTEM IN n SPATIAL DIMENSIONS  

作　　者：黄海洋 

机构地区：[1]Department of Mathematics,Beijing Normal University,Beijing 100875,China

出　　处：《Acta Mathematicae Applicatae Sinica》2000年第4期386-395,共10页应用数学学报（英文版）

基　　金：the National Natural Science Foundation of China (No.19571010).

摘　　要：In this paper, we study the 2m-order nonlinear Ginzburg-Landau system in n spatial dimensions. We show the existence and uniqueness of the global generalized solution, and the existence of the global attractor for this system, and establish the estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractor.In this paper, we study the 2m-order nonlinear Ginzburg-Landau system in n spatial dimensions. We show the existence and uniqueness of the global generalized solution, and the existence of the global attractor for this system, and establish the estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractor.

关 键 词：Generalized solution global attractor Hausdorff dimension fractal dimension Ginzburg-Landau equat? 

分 类 号：O1[理学—数学]