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

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