On the hydrostatic approximation of the Navier-Stokes equations in a thin strip

被引：27

作者：

Paicu, Marius ^{[1
]}

Zhang, Ping ^{[2
,3
,4
]}

Zhang, Zhifei ^{[5
]}

机构：

[1] Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France

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

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

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

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

来源：

ADVANCES IN MATHEMATICS | 2020年 / 372卷

关键词：

Incompressible Navier-Stokes equations; Hydrostatic approximation; Radius of analyticity; ZERO VISCOSITY LIMIT; WELL-POSEDNESS; ANALYTIC SOLUTIONS; GLOBAL REGULARITY; PRANDTL SYSTEM; EXISTENCE; EULER;

D O I：

10.1016/j.aim.2020.107293

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first prove the global well-posedness of a scaled anisotropic Navier-Stokes system and the hydrostatic Navier-Stokes system in a 2-D striped domain with small analytic data in the tangential variable. Then we justify the limit from the anisotropic Navier-Stokes system to the hydrostatic Navier-Stokes system with analytic data. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：42

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