Remarks on geometric properties of SQG sharp fronts and α-patches
classification
🧮 math.AP
keywords
alphafrontspatchessharpbehaviourconcerningconvexellipses
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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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