Sixth-order Cahn-Hilliard equations with singular nonlinear terms

被引：16
|
作者：
Miranville, Alain [1 ]
机构：
[1] Univ Poitiers, UMR CNRS SP2MI 7348, Lab Math & Applicat, F-86962 Futuroscope, France
来源：
APPLICABLE ANALYSIS | 2015年 / 94卷 / 10期
关键词：
sixth-order Cahn-Hilliard equations; singular nonlinear terms; variational solutions; well-posedness; 35B45; 35K55; TERNARY AMPHIPHILIC SYSTEMS; FINITE-DIFFERENCE SCHEME; LOGARITHMIC FREE-ENERGY; FIELD CRYSTAL EQUATION; GINZBURG-LANDAU THEORY; SPINODAL DECOMPOSITION; POTENTIALS; FLUCTUATIONS; ATTRACTORS; DYNAMICS;
D O I：
10.1080/00036811.2014.972384
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 study the well-posedness for a class of sixth-order Cahn-Hilliard equations with singular nonlinear terms. More precisely, we prove the existence and uniqueness of variational solutions, based on a variational inequality.
引用
收藏
页码：2133 / 2146
页数：14
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