The solvability of coupling the thermal effect and magnetohydrodynamics field with turbulent convection zone and the flow field

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:476

Article

Yao, Changhui¹ 

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou, Henan, Peoples R China

关键词: Magnetohydrodynamics;    Thermal effect;    Regularity;    Well-posedness;   

DOI  :  10.1016/j.jmaa.2019.03.061

来源: Elsevier

【 摘 要 】

In this paper, the magneto-heating coupling model is studied in details, with turbulent convection zone and the flow field involved. Our main work is to analyze the well-posed property of this model with the regularity techniques. We present the weak formulation of the coupled magneto-heating model and establish the regularity problem. Using Rothe's method, monotone theories of nonlinear operator, weak convergence theories, we prove that the limits of the solutions from Rothe's method converge to the solutions of the regularity problem with proper initial data. With the help of the spacial regularity technique, we derive the well-posedness of the original problems when the regular parameter epsilon -> 0. Moreover, with additional regularity assumption for both the magnetic field and temperature variable, we prove the uniqueness of the solutions. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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