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
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页数：13
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