Uniform existence of the 1-D full equations for a thermo-radiative electromagnetic fluid

In this paper, we prove the uniform estimates with respect to the dielectric constant and the global-in-time existence of the 1-D full equations for a thermo-radiative electromagnetic fluid in a bounded interval without vacuum. We establish the uniform estimates in the dielectric constant, which giv...

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Bibliographic Details
Published inNonlinear analysis Vol. 106; pp. 151 - 158
Main Authors Fan, Jishan, Ou, Yaobin
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.09.2014
Subjects
Approximation
Dielectric constant
Estimates
Fluid dynamics
Fluid flow
Fluids
Magnetohydrodynamic equations
Mathematical analysis
Thermo-radiative electromagnetic fluid
Dielectric constant
Thermo-radiative electromagnetic fluid
35B45
Magnetohydrodynamic equations
35L65
35Q60
76N10
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Summary:In this paper, we prove the uniform estimates with respect to the dielectric constant and the global-in-time existence of the 1-D full equations for a thermo-radiative electromagnetic fluid in a bounded interval without vacuum. We establish the uniform estimates in the dielectric constant, which gives that, as the dielectric constant tends to zero, the solutions to the 1-D full thermo-radiative electromagnetic equations will converge to the one for the 1-D full magnetohydrodynamic equations with thermo-radiations and magnetic diffusions. This approximation is usually referred to as the magnetohydrodynamic approximation, where the displacement current is not taken into account.
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ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2014.04.018