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arXiv · 1401.5376

Remarks on geometric properties of SQG sharp fronts and $\alpha$-patches

Angel Castro·Diego Córdoba·Javier Gómez-Serrano·Alberto Martín Zamora
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Abstract

Guided by numerical simulations, we present the proof of two results concerning the behaviour of SQG sharp fronts and $\alpha$-patches. We establish that ellipses are not rotational solutions and we prove that initially convex interfaces may lose this property in finite time.

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Angel Castro, Diego Córdoba, Javier Gómez-Serrano, Alberto Martín Zamora. 2014-01-21. Remarks on geometric properties of SQG sharp fronts and $\alpha$-patches. https://arxiv.org/abs/1401.5376

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