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 

出　　处：《Acta Mathematica Sinica,English Series》1996年第3期314-325,共12页数学学报（英文版）

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.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.

关 键 词：Global Attractors for the Initial Value Problems of Cohn-Hilliard Equations on Compact Manifolds 

分 类 号：O1[理学—数学]