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

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• 作者：Jishan Fan^a ; ^{fanjishan@njfu.edu.cn" class="auth_mail} ; Yaobin Ou^b ; ^{ou@ruc.edu.cn" class="auth_mail}
• 关键词：35B45 ; 35L65 ; 35Q60 ; 76N10
• 刊名：Nonlinear Analysis
• 出版年：September 2014
• 年：2014
• 卷：106
• 期：Complete
• 页码：151-158
• 全文大小：378 K

文摘

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.