Ideal density-dependent incompressible viscoelastic flow in the critical Besov spaces

被引：0

作者：

Hua, Qiu ^{[1
]}

Fang, Shaomei ^{[1
]}

机构：

[1] South China Agr Univ, Dept Math, Guangzhou 510642, Guangdong, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 10期

基金：

中国国家自然科学基金;

关键词：

density dependent; ideal; Oldroyd model; well-posedness; GLOBAL EXISTENCE; FLUID SYSTEM; CLASSICAL-SOLUTIONS; WELL-POSEDNESS; EQUATIONS; MODEL; CRITERION; EULER; LIMIT;

D O I：

10.1002/mma.4877

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the well-posedness issue for the density-dependent incompressible viscoelastic fluids of the Oldroyd model for the ideal case in space dimension greater than 2. We obtain the local well-posedness of this model under the assumption that the initial density is bounded away from zero in the critical Besov spaces by means of the Littlewood-Paley theory and Bony's paradifferential calculus. In particular, we obtain a Beale-Kato-Majida-type regularity criterion.

引用

页码：3913 / 3933

页数：21

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