Global Dynamics of the Cahn-Hilliard/Allen-Cahn Equation

被引：0
|
作者：
Ma, Mingze [1 ]
Zhao, Xiaopeng [1 ]
机构：
[1] Northeastern Univ, Coll Sci, Shenyang 110004, Peoples R China
来源：
JOURNAL OF MATHEMATICAL STUDY | 2023年 / 56卷 / 02期
关键词：
Global attractor; Cahn-Hilliard; Allen-Cahn; absorbing set; LONG-TIME BEHAVIOR; EXISTENCE;
D O I：
10.4208/jms.v56n2.23.04
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the global dynamics of the Cahn-Hilliard/AllenCahn equation with periodic boundary value conditions in 2D bounded domain n. We show that the equation has a global attractor in Hp4er(n) when the initial value belongs to Hp1er(n).
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页码：156 / 172
页数：17
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