Time-periodic solutions for 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion

被引：1

作者：

Sun, Chengfeng ^{[1
]}

Zhang, Fang ^{[1
]}

Liu, Hui ^{[2
]}

Xiao, Qingkun ^{[3
]}

机构：

[1] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210023, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

[3] Nanjing Agr Univ, Coll Sci, Nanjing 210095, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2023年 / 74卷 / 02期

关键词：

MHD equations; Horizontal dissipation and magnetic diffusion; Time-periodic solutions; REGULARITY CRITERION; PRIMITIVE EQUATIONS; MAGNETOHYDRODYNAMICS; FLOWS;

D O I：

10.1007/s00033-022-01927-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The 2D magnetohydrodynamics equations with horizontal dissipation and horizontal magnetic diffusion are considered. The classical solution in H-k (k >= 2) has been obtained; due to partial dissipation and strong nonlinearity, theglobal well-posedness of weak solution inH(1)is still unknown. In this paper, by combining classic Galerkin's method withBrouwer's fixed point theorem, existence of time-periodic solution inH1with small initial values is obtained

引用

页数：13

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