WELL-POSEDNESS FOR THE STOCHASTIC VISCOUS CAHN-HILLIARD EQUATION

被引：0

作者：

Hao, Chaoyang ^{[1
]}

Wang, Guolian ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2017年 / 18卷 / 12期

关键词：

Viscous Cahn-Hilliard equation; space-time white noise; global solution; SPINODAL DECOMPOSITION; MOTION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the viscous Cahn-Hilliard equation driven by space-time white noise with Dirichlet boundary conditions. We first establish the local existence and uniqueness of the solution with the help of the smoothing properties of semi-group operators; then we establish the global well-posedness results by a priori estimates under some regularities and boundedness on the coefficients.

引用

页码：2219 / 2228

页数：10

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