EXISTENCE OF WEAK SOLUTIONS FOR UNSTEADY MOTIONS OF MICROPOLAR ELECTRORHEOLOGICAL FLUIDS

被引：2

作者：

Baeumle, E. ^{[1
]}

Ruzicka, M. ^{[2
]}

机构：

[1] Blutenweg 12, D-77656 Offenburg, Germany

[2] Albert Ludwigs Univ Freiburg, Inst Appl Math, D-79104 Freiburg, Germany

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2017年 / 49卷 / 01期

关键词：

existence of solutions; Lipschitz truncation; solenoidal Lipschitz truncation; micropolar electrorheological fluids; NONLINEAR EVOLUTION-EQUATIONS; CONSTITUTIVE-EQUATIONS; LIPSCHITZ TRUNCATION; STEADY FLOWS; CONVERGENCE;

D O I：

10.1137/15M1042188

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of weak solutions to an unsteady system describing the motion of micropolar electrorheological fluids. The constitutive relations for the stress tensors belong to the class of generalized Newtonian fluids. Using the Lipschitz truncation and the solenoidal Lipschitz truncation we establish the existence of global solutions for shear exponents p > 6/5 in three-dimensional domains.

引用

页码：115 / 141

页数：27

共 50 条

[41] Existence and uniqueness of time periodic solutions to the compressible magneto-micropolar fluids in a periodic domain
Xinli Zhang
Hong Cai
Zeitschrift für angewandte Mathematik und Physik, 2020, 71
[42] Existence and uniqueness of time periodic solutions to the compressible magneto-micropolar fluids in a periodic domain
Zhang, Xinli
Cai, Hong
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (06):
[43] Global weak solutions to a model of micropolar fluids with Maxwell-Cattaneo heat transfer law
Hamdache, K.
Hamroun, D.
Louardani, A.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 142 : 69 - 96
[44] Existence of Steady Solutions for a Model for Micropolar Electrorheological Fluid Flows with Not Globally log-Holder Continuous Shear Exponent
Kaltenbach, Alex
Ruzicka, Michael
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2023, 25 (02)
[45] Unsteady planar stagnation point heat transfer in micropolar fluids
Gorla, RSR
Gorla, P
CANADIAN JOURNAL OF PHYSICS, 1996, 74 (1-2) : 77 - 80
[46] Existence of weak solutions for steady viscous fluids with general slip boundary conditions
Zhang, Jingjun
Guo, Chunxiao
Guo, Boling
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (08) : 2476 - 2488
[47] NUMERICAL STUDY OF MOTIONS OF MICROPOLAR FLUIDS PRODUCED BY ORIENTABLE PARTICLES
BLANSCHONG, GP
HARTMANN, C
JOURNAL DE MECANIQUE, 1979, 18 (04): : 713 - 744
[48] EXISTENCE AND UNIQUENESS OF STEADY WEAK SOLUTIONS TO THE NON-NEWTONIAN FLUIDS IN Rd
Yang, Jiaqi
COLLOQUIUM MATHEMATICUM, 2022, 168 (01) : 127 - 140
[49] ON EXISTENCE THEOREMS IN THE THEORY OF EXTENSIONAL MOTIONS OF THIN MICROPOLAR PLATES
SCHIAVONE, P
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1989, 27 (09) : 1129 - 1133
[50] Weak solutions to stationary motions of shear thinning fluids with nonhomogeneous Dirichlet boundary conditions
Elshehabey, Hillal M.
Silvestre, Ana L.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 208

← 1 2 3 4 5 →