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arXiv · 2203.01967

Global solutions of quasi-geostrophic shallow-water fronts

Fangchi Yan·Qingtian Zhang
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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.

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Fangchi Yan, Qingtian Zhang. 2022-03-03. Global solutions of quasi-geostrophic shallow-water fronts. https://arxiv.org/abs/2203.01967

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