EXISTENCE OF PERIODIC SOLUTION FOR A CAHN-HILLIARD/ALLEN-CAHN EQUATION IN TWO SPACE DIMENSIONS

被引：7

作者：

Liu, Changchun ^{[1
]}

Tang, Hui ^{[2
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

[2] Changchun Univ, Sch Sci, Changchun 130022, Peoples R China

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2017年 / 6卷 / 02期

基金：

美国国家科学基金会;

关键词：

Cahn-Hilliard/Allen-Cahn equation; existence; uniqueness; periodic solution; EVOLUTION;

D O I：

10.3934/eect.2017012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence of the periodic solutions of a Cahn-Hillard/Allen-Cahn equation which is introduced as a simplification of multiple microscopic mechanisms model in cluster interface evolution. Based on the Schauder type a priori estimates, which here will be obtained by means of a modified Campanato space, we prove the existence of time-periodic solutions in two space dimensions. The uniqueness of solutions is also discussed.

引用

页码：219 / 237

页数：19

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