Energy conservation for the weak solutions to the equations of compressible magnetohydrodynamic flows in three dimensions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:480

Article

Wang, Tingsheng¹  Zhao, Xinhua¹  Chen, Yingshan¹  Zhang, Mei¹ 

[1] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

关键词: Compressible MHD equations;    Weak solutions;    Energy conservation;   

DOI  :  10.1016/j.jmaa.2019.07.063

来源: Elsevier

【 摘 要 】

In this paper, we prove the energy conservation for the weak solutions to the three-dimensional equations of compressible magnetohydrodynamic flows (MHD) under certain conditions only about density and velocity. This work is inspired by the seminal work by Yu [24] on the energy conservation of compressible Navier-Stokes equations. Our result indicates that even the magnetic field is taken into account, we only need some regularity conditions of the density and velocity as in [24] to ensure the energy conservation. (C) 2019 Published by Elsevier Inc.

【 授权许可】

Free