Geophysical flows and the effects of a strong surface tension
Analysis of PDEs
2016-05-31 v1 Quantum Gases
Statistical Mechanics
Fluid Dynamics
Geophysics
Abstract
In the present note we review some recent results for a class of singular perturbation problems for a Navier-Stokes-Korteweg system with Coriolis force. More precisely, we study the asymptotic behaviour of solutions when taking incompressible and fast rotation limits simultaneously, in a constant capillarity regime. Our main purpose here is to explain in detail the description of the phenomena we want to capture, and the mathematical derivation of the system of equations. Hence, a huge part of this work is devoted to physical considerations and mathematical modeling.
Keywords
Cite
@article{arxiv.1605.09210,
title = {Geophysical flows and the effects of a strong surface tension},
author = {Francesco Fanelli},
journal= {arXiv preprint arXiv:1605.09210},
year = {2016}
}
Comments
This is a review article. The main goal is to provide physical insights and the mathematical derivation of the model. arXiv admin note: text overlap with arXiv:1504.02903