Energy conservation of the resistive and the non-resistive magnetohydrodynamic equations

被引：0
|
作者：
Chen, Qionglei [1 ]
Zhang, Qi [2 ]
机构：
[1] Inst Appl Phys & Computat Math, Beijing, Peoples R China
[2] China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 04期
关键词：
energy conservation; MHD equations; non-resistive MHD equations; weak and very weak solutions; MHD EQUATIONS; WEAK SOLUTIONS;
D O I：
10.1002/mma.9730
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we provide sufficient conditions on the incompressible viscous resistive MHD equations and the viscous non-resistive MHD equations to ensure the energy equality. Part of our results also holds for the ideal MHD equations.
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页码：1994 / 2005
页数：12
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