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.

引用

页码：1994 / 2005

页数：12

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