Global small solutions of MHD boundary layer equations in Gevrey function space

被引：1
|
作者：
Tan, Zhong [1 ,2 ]
Wu, Zhonger [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen, Peoples R China
[2] Xiamen Univ, Shenzhen Res Inst, Shenzhen 518057, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 366卷
基金：
中国国家自然科学基金;
关键词：
MHD boundary layer; Littlewood-Paley theory; Gevrey energy estimate; Well-posedness theory; WELL-POSEDNESS; ANALYTIC SOLUTIONS; PRANDTL SYSTEM; ILL-POSEDNESS; EXISTENCE;
D O I：
10.1016/j.jde.2023.04.019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain global small solutions and decay estimates for the two-dimensional MHD bound-ary layer in Gevrey space without any structural assumptions, generalizing the results of [20] in analytic space. The proof method is mainly inspired by [14] and [26], using new auxiliary functions and finer structural analysis to overcome the difficulty of the loss of derivatives and then we obtain the global well-posedness of the MHD boundary layer in the Gevrey 32 space.(c) 2023 Elsevier Inc. All rights reserved.
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页码：444 / 517
页数：74
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