EXISTENCE AND WEAK-STRONG UNIQUENESS FOR GLOBAL WEAK SOLUTIONS FOR THE VISCOELASTIC PHASE SEPARATION MODEL IN THREE SPACE DIMENSIONS

被引：0

作者：

Brunk, Aaron ^{[1
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Dept Math, Numer Math, Staudingerweg 9, D-55099 Mainz, Germany

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2023年 / 43卷 / 06期

关键词：

  Relative energy; weak-strong uniqueness; viscoelastic phase separation; partial differential equations; CAHN-HILLIARD EQUATION; COMPLEX FLUIDS; THERMODYNAMICS; DYNAMICS;

D O I：

10.3934/dcds.2023004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this work is to prove the global-in-time existence of weak solutions for a viscoelastic phase separation model in three space dimensions. To this end, we apply the relative energy concept provided by [7]. We consider the case of regular polynomial-type potentials and positive mobilities, as well as the degenerate case with logarithmic potential and vanishing mobility.

引用

页码：2120 / 2136

页数：17

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