English

An existence result for the steady rotating Prandtl equation

Analysis of PDEs 2016-03-17 v1

Abstract

We consider a steady, geophysical 2D fluid in a domain, and focus on its western boundary layer, which is formally governed by a variant of the Prandtl equation. By using the von Mises change of variables, we show that this equation is well-posed under the assumption that the trace of the interior stream function has large variations, and that the variations in the coastline profile are moderate.

Keywords

Cite

@article{arxiv.1603.05089,
  title  = {An existence result for the steady rotating Prandtl equation},
  author = {Anne-Laure Dalibard and Matthew Paddick},
  journal= {arXiv preprint arXiv:1603.05089},
  year   = {2016}
}