EXISTENCE, REGULARITY AND WEAK-STRONG UNIQUENESS FOR THREE-DIMENSIONAL PETERLIN VISCOELASTIC MODEL

被引：0

作者：

Brunk, Aaron ^{[1
]}

Lu, Yong ^{[2
]}

Lukacova-Medvidova, Maria ^{[1
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Inst Math, Mainz, Germany

[2] Nanjing Univ, Dept Math, Nanjing, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2022年 / 20卷 / 01期

关键词：

Complex fluids; relative energy; parabolic regularity; weak-strong uniqueness; FINITE-ELEMENT APPROXIMATION; SPRING CHAIN MODELS; GLOBAL EXISTENCE; OLDROYD-B; NUMERICAL-ANALYSIS; DILUTE POLYMERS; FLUID SYSTEM; HYDRODYNAMICS; CRITERIA;

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 analyze three-dimensional Peterlin viscoelastic model. By means of a mixed Galerkin and semigroup approach we prove the existence of weak solutions. Further, combining parabolic regularity with the relative energy method, we derive a conditional weak-strong uniqueness result.

引用

页码：201 / 230

页数：30

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