Global weak solutions to a model of micropolar fluids with Maxwell-Cattaneo heat transfer law

被引：2

作者：

Hamdache, K. ^{[1
]}

Hamroun, D. ^{[2
]}

Louardani, A. ^{[2
]}

机构：

[1] Leonard de Vinci Pole Univ, Res Ctr, Modelisat Grp, F-92916 Paris, La Defense, France

[2] Univ USTHB, Lab AMNEDP, Fac Math, Algiers, Algeria

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 142卷

关键词：

Micropolar fluid flows; Maxwell-Cattaneo heat transfer law; Incompressible Navier-Stokes equations; CONTINUOUS DEPENDENCE; SPATIAL GEOMETRY; CONVECTION; BOUNDS;

D O I：

10.1016/j.na.2016.04.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to the study of a system describing the dynamics of a heated micropolar fluid under the action of an applied magnetic field. The heat transfer is subjected to Maxwell-Cattaneo law instead of the usual Fourier law. Thanks to regularization and compactness methods the global existence in time of weak solutions with finite energy has been proved. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：69 / 96

页数：28

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