Global energy conservation for distributional solutions to incompressible Hall-MHD equations without resistivity

被引：11

作者：

Wu, Fan ^{[1
]}

机构：

[1] Nanchang Inst Technol, Coll Sci, Nanchang 330099, Jiangxi, Peoples R China

来源：

FILOMAT | 2023年 / 37卷 / 28期

关键词：

Energy conservation; Non-resistive Hall-MHD system; Distributional solutions; Leray-Hopf weak solution; LOCAL EXISTENCE; UNIQUENESS; WAVES;

D O I：

10.2298/FIL2328741W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the global energy conservation for distributional solutions to incompressible Hall-MHD equations without resistivity. Motivated by the works of Tan and Wu in [arXiv:2111.13547v2] and Wu in [J. Math. Fluid Mech. 24,111 (2022)], we establish the energy balance for a distributional solution in whole spaces Rd(d >_ 2) provided that u, b E L4L4 and Vb E La L a. Moreover, as a corollary, we also obtain the energy conservation criterion for a Leray-Hopf weak solution.

引用

页码：9741 / 9751

页数：11

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