The convective Cahn-Hilliard equation

被引：32
|
作者：
Eden, A. [1 ]
Kalantarov, V. K.
机构：
[1] Bogazici Univ, Tubitak Feza Gursey Inst Basic Sci, Dept Math, Istanbul, Turkey
[2] Koc Univ, Dept Math, Istanbul, Turkey
来源：
APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 04期
关键词：
global existence; attractor; Cahn-Hilliard equation;
D O I：
10.1016/j.aml.2006.05.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the convective Cahn-Hilliard equation with periodic boundary conditions as an infinite dimensional dynamical system and establish the existence of a compact attractor and a finite dimensional inertial manifold that contains it. Moreover, Gevrey regularity of solutions on the attractor is established and used to prove that four nodes are determining for each solution on the attractor. (C) 2006 Elsevier Ltd. All rights reserved.
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页码：455 / 461
页数：7
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