On the global small solution of 2-D Prandtl system with initial data in the optimal Gevrey class

被引：8

作者：

Wang, Chao ^{[1
]}

Wang, Yuxi ^{[2
]}

Zhang, Ping ^{[3
,4
,5
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China

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

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

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

来源：

ADVANCES IN MATHEMATICS | 2024年 / 440卷

基金：

国家重点研发计划; 中国国家自然科学基金;

关键词：

Prandtl system; Littlewood-Paley theory; Gevrey energy estimate; ZERO-VISCOSITY LIMIT; BOUNDARY-LAYER; WELL-POSEDNESS; ANALYTIC SOLUTIONS; SPECTRAL INSTABILITY; ILL-POSEDNESS; EXISTENCE; EQUATIONS; REGULARITY;

D O I：

10.1016/j.aim.2024.109517

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by [8], we prove the global existence and large time behavior of small solutions to 2-D Prandtl system for data with Gevrey 2 regularity in the x variable and Sobolev regularity in the y variable. In particular, we extend the global well-posedness result in [26] for 2-D Prandtl system with analytic data to data with optimal Gevery regularity in the sense of [11]. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：69

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