Hydrostatic Limit of the Navier-Stokes-Alpha Model

被引：3

作者：

Glangetas, Leo ^{[1
]}

Ngo, Van-Sang ^{[1
]}

Said, El Mehdi ^{[1
]}

机构：

[1] Univ Rouen Normandie, Lab Math Raphael Salem, CNRS, UMR 6085, F-76000 Rouen, France

来源：

ACTA MATHEMATICA SCIENTIA | 2023年 / 43卷 / 05期

关键词：

Navier-Stokes-& alpha; model; hydrostatic approximation; analyticity; SHALLOW-WATER EQUATION; WELL-POSEDNESS; GEODESIC-FLOW; UNIQUENESS; EXISTENCE;

D O I：

10.1007/s10473-023-0502-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the hydrostatic limit of the Navier-Stokes-alpha model in a very thin strip domain. We derive some Prandtl-type limit equations for this model and we prove the global well-posedness of the limit system for small initial conditions in an appropriate analytic function space.

引用

页码：1945 / 1980

页数：36

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