An existence result for the steady rotating Prandtl equation

Anne-Laure Dalibard; Matthew Paddick

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arXiv · 1603.05089

An existence result for the steady rotating Prandtl equation

Anne-Laure Dalibard·Matthew Paddick

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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.

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Anne-Laure Dalibard, Matthew Paddick. 2016-03-16. An existence result for the steady rotating Prandtl equation. https://arxiv.org/abs/1603.05089

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