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

被引：3

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.

引用

页码：444 / 517

页数：74

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