Hydrostatic limit of the Navier-Stokes-alpha model
Analysis of PDEs
2021-10-05 v1
Abstract
In this paper we study the hydrostatic limit of the Navier-Stokes-alpha model in a very thin striped 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.
Keywords
Cite
@article{arxiv.2110.01248,
title = {Hydrostatic limit of the Navier-Stokes-alpha model},
author = {Léo Glangetas and Van-Sang Ngo and El Mehdi Said},
journal= {arXiv preprint arXiv:2110.01248},
year = {2021}
}
Comments
Premi{\`e}re version, 33 pages