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

[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.

[发布日期] 2019-12-15

[关键词] Compressible MHD equations;Weak solutions;Energy conservation