Global Weak Solutions to Magnetic Fluid Flows with Nonlinear Maxwell-Cattaneo Heat Transfer Law

被引：4

作者：

Aggoune, F. ^{[1
]}

Hamdache, K. ^{[2
]}

Hamroun, D. ^{[1
]}

机构：

[1] Univ USTHB, Lab AMNEDP, Fac Math, Algiers 16111, Algeria

[2] ECE Paris, Ecole Ingn, Ctr Rech Immeuble Pollux, F-75725 Paris 15, France

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2015年 / 17卷 / 01期

关键词：

Navier-Stokes equations; Bloch-Torrey equation; magnetostatic equation; Maxwell-Cattaneo law; heat transfer; magnetic field; magnetization; BOUNDS;

D O I：

10.1007/s00021-014-0193-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the equations describing the dynamic of the heat transfer in a magnetic fluid flow under the action of an applied magnetic field. Instead of the usual heat transfer equation we use a generalization given by the Maxwell-Cattaneo law which is a system satisfied by the temperature and the heat flux. We prove a global existence of weak solutions to the system having a finite energy.

引用

页码：103 / 127

页数：25

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