某些多维Ginzberg-Landau方程混合初边值问题的整体吸引子  

The Existence of Weak Global Attractor for Mixed Initial Boundary Value Problem for Some Multidimensional Ginzberg-Landau Equations

作　　者：房少梅[1,2] 郭柏灵[3] 

机构地区：[1]华南农业大学数学系,广州510642 [2]韶关学院数学系 [3]北京应用物理与计算数学研究所,北京8009信箱100088

出　　处：《应用数学学报》2007年第4期604-614,共11页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(10576013;10471050);广东省自然科学基金(5300889)资助项目.

摘　　要：Ginzburg-Landau方程具有十分丰富的物理应用背景,它准确地描述了湍流行为、超导理论及相位跃迁等演化现象.本文研究一类多维Ginzburg-Landau方程的混合初边值,证明它存在弱的整体吸引子.Ginzberg-Landau Equations have a fairly abundant physical background. It accurately describes some important evolution phenomenions, such as turbulence, superconductor, and phase transition, etc. In this paper, we have proved the existence of weak global attractor for mixed initial boundary value problem for some multidimensional Ginzberg- Landau equations.

关 键 词：非线性Ginzberg-Landau方程 整体吸引子 GALERKIN方法 

分 类 号：O241.8[理学—计算数学]