EXISTENCE OF SOLUTIONS FOR A QUASI-LINEAR PHASE SEPARATION OF MULTI-COMPONENT SYSTEM

被引：0

作者：

Zhang, Dongpei ^{[1
]}

Liu, Ruikuan ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Multi-component system; the acute angle principle; T-weakly continuous operators; global weak solution; FINITE-ELEMENT APPROXIMATION; DEPENDENT MOBILITY MATRIX; NONSMOOTH FREE-ENERGY; CAHN-HILLIARD SYSTEM; GLOBAL ATTRACTOR; MODEL; ALLOY; TRANSITIONS; EQUATIONS; DYNAMICS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article formulates a new model of the phase separation of multi-component system, which is a fourth-order quasi-linear evolution partial differential equation. By using the acute angle principle, we obtain a weak solution of the corresponding steady-state equations. In addition, we show that the quasi-linear dynamic equations have at least one global weak solution, based on the T-weakly continuous operators theory.

引用

页数：13

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