HYDROSTATIC LIMIT OF THE NAVIER-STOKES-ALPHA MODEL  

作　　者：Léo GLANGETAS Van-Sang NGO El Mehdi SAID 

机构地区：[1]Laboratoire de Mathematiques Raphael Salem,Universite de Rouen Normandie,CNRS,UMR 6085,F-76000 Rouen,France

出　　处：《Acta Mathematica Scientia》2023年第5期1945-1980,共36页数学物理学报（B辑英文版）

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-αmodel hydrostatic approximation ANALYTICITY 

分 类 号：O351.1[理学—流体力学]