On the Higher order Nonlinear Ginzburg Landau System in n Spatial Dimensions 1  

On the Higher-order Nonlinear Ginzburg-Landau System in n Spatial Dimensions

作　　者：Haiyang HUANG (Dept.of Math.,Beijing Normal University,Beijing 100875,China) E mail:[e-mail] 

出　　处：《Communications in Nonlinear Science and Numerical Simulation》1998年第1期15-19,共5页非线性科学与数值模拟通讯（英文版）

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.ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅＧｉｎｚｂｕｒｇＬａｎｄａｕｅｑｕａｔｉｏｎｇｏｖｅｒｎｓｔｈｅｆｉｎｉｔｅａｍｐｌｉｔｕｄｅｅｖｏｌｕｔｉｏｎｏｆｉｎｓｔａｂｉｌｉｔｙｗａｖｅｓｉｎａｌａｒｇｅｖｅｒｉｔｙｏｆｄｉｓｉｐａｔｉｖｅｓｙｓｔｅｍｗｈｉ...

关 键 词：generalized solution global attractor Hausdorff dimension fractal dimension Ginzburg  Landau equation 

分 类 号：O175.29[理学—数学]