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

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 he...

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Bibliographic Details
Published in:Journal of mathematical fluid mechanics 2015-03, Vol.17 (1), p.103-127
Main Authors: Aggoune, F., Hamdache, K., Hamroun, D.
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Fluid- and Aerodynamics
Mathematical Methods in Physics
Physics
Physics and Astronomy
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Summary: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.
ISSN:1422-6928
1422-6952
DOI:10.1007/s00021-014-0193-2