Energy conservation for the nonhomogeneous incompressible Hall-MHD equations in a bounded domain
Energy conservation for the nonhomogeneous incompressible Hall-MHD equations in a bounded domain
复制标题
有界域内非齐次不可压缩霍尔 MHD 方程的能量守恒
DOI：
10.1016/j.rinam.2021.100178
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发表时间：
2021
影响因子：
2
通讯作者：
Zhou Yanping
中科院分区：
文献类型：
--
作者：
Kang Lingping;Deng Xuemei;Zhou Yanping
In this paper, we study the energy conservation of the nonhomogeneous incompressible Hall-magnetohydrodynamic equations in a bounded domain Ω⊂ R d with d= 2, 3. By exploring the special structure of the nonlinear terms in the Hall-magnetohydrodynamic equations, we obtain the sufficient conditions for the regularity of the weak solutions for energy conservation. The treatment of the boundary terms mainly relies on the coarea formula.
