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 50 条

[1] On the compressible micropolar fluids in a time-dependent domain
Bingkang Huang
Šárka Nečasová
Lan Zhang
[J]. Annali di Matematica Pura ed Applicata (1923 -), 2022, 201 : 2733 - 2795
[2] ON NONVISCOUS COMPRESSIBLE FLUIDS IN A TIME-DEPENDENT DOMAIN
SECCHI, P
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1992, 9 (06): : 683 - 704
[3] Optimal time decay of the compressible micropolar fluids
Liu, Qingqing
Zhang, Peixin
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (10) : 7634 - 7661
[4] Model of compressible flow and transport in a time-dependent domain
Jiránek, P
Maryska, J
Sembera, J
[J]. NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, PROCEEDINGS, 2004, : 521 - 530
[5] Pressure-correction projection methods for the time-dependent micropolar fluids
Maimaiti, Halimang
Liu, Demin
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2022, 94 (04) : 377 - 393
[6] Existence and uniqueness of time periodic solutions to the compressible magneto-micropolar fluids in a periodic domain
Xinli Zhang
Hong Cai
[J]. Zeitschrift für angewandte Mathematik und Physik, 2020, 71
[7] Existence and uniqueness of time periodic solutions to the compressible magneto-micropolar fluids in a periodic domain
Zhang, Xinli
Cai, Hong
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (06):
[8] TIME-DEPENDENT CHANNEL FLOW OF A MICROPOLAR FLUID
KIRWAN, AD
NEWMAN, N
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1972, 10 (02) : 137 - &
[9] Unique solvability of compressible micropolar viscous fluids
Mingtao Chen
[J]. Boundary Value Problems, 2012
[10] Decay of the compressible magneto-micropolar fluids
Zhang, Peixin
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (02)

← 1 2 3 4 5 →