Low Mach number limit of the viscous quantum magnetohydrodynamic model

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:455

Article

Yang, Jianwei¹ 

[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450045, Henan, Peoples R China

关键词: Viscous quantum magnetohydrodynamic equations;    Low Mach number limit;    Smooth solution;    Energy estimates;   

DOI  :  10.1016/j.jmaa.2017.06.027

来源: Elsevier

【 摘 要 】

This paper is concerned with the low Mach number limit of the magnetohydrodynamic model with periodic boundary conditions for quantum plasmas. It is justified rigorously that, for well-prepared initial data, the classical solutions of the viscous quantum magnetohydrodynamic equations converge to that of the incompressible magnetohydrodynamic equations with a sharp convergence rate as the Mach number goes to zero. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free