Global small analytic solutions of MHD boundary layer equations

被引：22

作者：

Liu, Ning ^{[1
]}

Zhang, Ping ^{[1
,2
,3
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China

[3] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 281卷

关键词：

MHD Prandtl system; Littlewood-Paley theory; Analytic energy estimate; NAVIER-STOKES EQUATION; WELL-POSEDNESS; PRANDTL EQUATIONS; ILL-POSEDNESS; SOBOLEV SPACES; EXISTENCE; REGULARITY; SYSTEM; FLOW;

D O I：

10.1016/j.jde.2021.02.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the global existence and the large time decay estimate of solutions to the two-dimensional MHD boundary layer equations with small initial data, which is analytical in the tangential variable. The main idea of the proof is motivated by that of [28]. The additional difficulties are: 1. There appears the magnetic field; 2. The far field here depends on the tangential variable; 3. The Reynolds number is different from magnetic Reynolds number. In particular, we solved an open question in [33] concerning the large time existence of analytical solutions to the MHD boundary layer equations. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：199 / 257

页数：59

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