数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (5): 1945-1980.doi: 10.1007/s10473-023-0502-z

• • 上一篇    下一篇

HYDROSTATIC LIMIT OF THE NAVIER-STOKES-ALPHA MODEL*

Léo Glangetas, Van-Sang Ngo, El Mehdi Said   

  1. Laboratoire de Mathematiques Raphael Salem, Universite de Rouen Normandie, CNRS, UMR 6085, F-76000 Rouen, France
  • 收稿日期:2021-10-12 修回日期:2022-12-06 发布日期:2023-10-25

HYDROSTATIC LIMIT OF THE NAVIER-STOKES-ALPHA MODEL*

Léo Glangetas, Van-Sang Ngo, El Mehdi Said   

  1. Laboratoire de Mathematiques Raphael Salem, Universite de Rouen Normandie, CNRS, UMR 6085, F-76000 Rouen, France
  • Received:2021-10-12 Revised:2022-12-06 Published:2023-10-25
  • About author:Léo Glangetas, E-mail: leo.glangetas@univ-rouen.fr; Van-Sang Ngo, E-mail: van-sang.ngo@univ-rouen.fr; El Mehdi Said, E-mail: el-mehdi.said@etu.univ-rouen.fr/elmehdi.gi@gmail.com

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.

关键词: Navier-Stokes-$\alpha$ model, hydrostatic approximation, analyticity

Abstract: 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.

Key words: Navier-Stokes-$\alpha$ model, hydrostatic approximation, analyticity

中图分类号: 

  • 35Q30