Global solutions of quasi-geostrophic shallow-water fronts
Analysis of PDEs
2022-03-15 v2 Fluid Dynamics
Geophysics
Abstract
In this paper, we consider a family of piecewise constant solutions of the quasi-geostrophic shallow-water (QGSW) equation. We derive the contour dynamics equation of the QGSW front, which is a nonlinear, nonlocal dispersive equation, and prove the global existence of the solutions when the initial data is sufficiently close to a flat front.
Keywords
Cite
@article{arxiv.2203.01967,
title = {Global solutions of quasi-geostrophic shallow-water fronts},
author = {Fangchi Yan and Qingtian Zhang},
journal= {arXiv preprint arXiv:2203.01967},
year = {2022}
}
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57 pages