ON WEAK SOLUTIONS TO A DIFFUSE INTERFACE MODEL OF A BINARY MIXTURE OF COMPRESSIBLE FLUIDS

被引：10

作者：

Feireisl, Eduard ^{[1
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, Zitna 25, CR-11567 Prague 1, Czech Republic

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2016年 / 9卷 / 01期

关键词：

Euler-Cahn-Hilliard system; weak solution; diffuse interface model; EQUATIONS;

D O I：

10.3934/dcdss.2016.9.173

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Euler-Cahn-Hilliard system proposed by Lowen-grub and Truskinovsky describing the motion of a binary mixture of compressible fluids. We show that the associated initial-value problem possesses infinitely many global-in-time weak solutions for any finite energy initial data. A modification of the method of convex integration is used to prove the result.

引用

页码：173 / 183

页数：11

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