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2015 On a System of Equations of a Non-Newtonian Micropolar Fluid
G. M. de Araújo, M. A. F. de Araújo, E. F. L. Lucena
J. Appl. Math. 2015: 1-11 (2015). DOI: 10.1155/2015/481754

Abstract

We investigate a problem for a model of a non-Newtonian micropolar fluid coupled system. The problem has been considered in a bounded, smooth domain of R 3 with Dirichlet boundary conditions. The operator stress tensor is given by τ ( e ( u ) ) = [ ( ν + ν 0 M ( | e ( u ) | 2 ) ) e ( u ) ] . To prove the existence of weak solutions we use the method of Faedo-Galerkin and compactness arguments. Uniqueness and periodicity of solutions are also considered.

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G. M. de Araújo. M. A. F. de Araújo. E. F. L. Lucena. "On a System of Equations of a Non-Newtonian Micropolar Fluid." J. Appl. Math. 2015 1 - 11, 2015. https://doi.org/10.1155/2015/481754

Information

Published: 2015
First available in Project Euclid: 15 April 2015

zbMATH: 06620380
MathSciNet: MR3317016
Digital Object Identifier: 10.1155/2015/481754

Rights: Copyright © 2015 Hindawi

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