Global Small Analytic Solution of 3-D Anisotropic Navier-Stokes System

被引：0

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：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2024年 / 248卷 / 06期

基金：

中国国家自然科学基金;

关键词：

MILD SOLUTIONS; EQUATIONS; REGULARITY;

D O I：

10.1007/s00205-024-02051-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the global existence of analytic solution for 3D anisotropic Navier-Stokes system with initial data which is small and analytic in the vertical variable. We shall also prove that this solution will be analytic in the horizontal variables soon after t > 0. Furthermore, we show that the ratio between the analytic radius, R-h(t), of the solution in the horizontal variables and root t satisfies lim(t -> 0+)( R)h((t))/( root t) = infinity.

引用

页数：43

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