Mathematical study of the equatorial Ekman boundary layer
Analysis of PDEs
2020-01-08 v1
Abstract
In this paper we study the well-posedness of a simple model of boundary layer for rotating fluids between two concentric spheres near the equator. We show that this model can be seen as a degenerate elliptic equation , for which we prove an existence result thanks to a Lax-Milgram type lemma. We also prove uniqueness under an additional integrability assumption and present a transparent boundary condition for such layers.
Keywords
Cite
@article{arxiv.1812.09185,
title = {Mathematical study of the equatorial Ekman boundary layer},
author = {Jean Rax},
journal= {arXiv preprint arXiv:1812.09185},
year = {2020}
}