On the compressible micropolar fluids in a time-dependent domain

被引：3

作者：

Huang, Bingkang ^{[1
]}

Necasova, Sarka ^{[2
]}

Zhang, Lan ^{[3
,4
]}

机构：

[1] Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China

[2] Czech Acad Sci, Inst Math, Zitna 25, Prague, Czech Republic

[3] Wuhan Univ Technol, Ctr Math Sci, Wuhan 430070, Peoples R China

[4] Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R China

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2022年 / 201卷 / 06期

关键词：

Compressible micropolar fluids; Asymmetric stress tensor; Slip boundary conditions; Strong solution; Weak solutions; SUITABLE WEAK SOLUTIONS; SLIP BOUNDARY-CONDITIONS; NAVIER-STOKES EQUATIONS; RIGID BODY INTERACTION; STRONG UNIQUENESS; MOTION; SYSTEM; EXISTENCE; FLOW;

D O I：

10.1007/s10231-022-01218-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate compressible micropolar fluids on a time-dependent domain with slip boundary conditions. Our contribution in this paper is threefold. Firstly, we establish the local existence of the strong solution. Secondly, the global existence of weak solutions is shown. The third one is the weak-strong uniqueness principle for slip boundary conditions. There are several new ideas developed by us to overcome the difficulties caused by the coupled terms and slip boundary conditions.

引用

页码：2733 / 2795

页数：63

共 34 条

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