EXISTENCE OF SOLUTIONS FOR ANISOTROPIC CAHN-HILLIARD AND ALLEN-CAHN SYSTEMS IN HIGHER SPACE DIMENSIONS

被引：11

作者：

Makki, Ahmad ^{[1
]}

Miranville, Alain ^{[1
]}

机构：

[1] Univ Poitiers, Lab Math & Applicat, CNRS, UMR 7348,SP2MI, Blvd Marie & Pierre Curie Teleport 2, F-86962 Futuroscope, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2016年 / 9卷 / 03期

关键词：

Cahn-Hilliard equation; Allen-Cahn equation; anisotropy; Willmore regularization; well-posedness; TERNARY AMPHIPHILIC SYSTEMS; GINZBURG-LANDAU THEORY; PHASE-FIELD MODEL; EQUATION; FLUCTUATIONS; SIMULATIONS; BOUNDARY;

D O I：

10.3934/dcdss.2016027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our aim in this paper is to prove the existence and uniqueness of solutions to Cahn-Hilliard and Allen-Cahn type equations based on a modification of the Ginzburg-Landau free energy proposed in [12] (see also [16]) which takes into account strong anisotropy effects. In particular, the free energy contains a regularization term, called Willmore regularization.

引用

页码：759 / 775

页数：17

共 19 条

[1] MICROSCOPIC THEORY FOR ANTIPHASE BOUNDARY MOTION AND ITS APPLICATION TO ANTIPHASE DOMAIN COARSENING [J].