Global Attractors for the Initial Value Problems of Cohn-Hilliard Equations on Compact Manifolds

作     者：Guo Boling Wang Youde, Institute of Applied Physics and Computational Mathematics Beijing, 100088 China 

作者机构：Institute of Applied Physics and Computational Mathematics Beijing China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：1996年第12卷第3期

页      面：314-325页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Global Attractors for the Initial Value Problems of Cohn Hilliard Equations on Compact Manifolds 

摘      要：In this paper we establish some theorems which are concerned with the equivalent norms of Sobolev spaces on a Riemannian manifold. Using the theorems we prove the existence of global attractors for the initial value problem of Cahn-Hilliard equations. The estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractors are also obtained.