Hölder用α -模型估计3点涡问题

Comptes Rendus. Mathématique Pub Date : 2023-01-12 DOI:10.5802/crmath.414

Ludovic Godard-Cadillac

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引用次数: 1

摘要

本文研究了一种称为α点涡的一般情况下的准地转点涡系统。我们研究了一种叫做单尺度坍缩的特殊情况，并给出了三涡问题的H′older正则性。这一结果特别表明，即使在坍缩的情况下，涡旋的轨迹也是收敛的

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Hölder estimate for the 3 point-vortex problem with alpha-models

In this article we study quasi-geostrophic point-vortex systems in a general setting called alpha point-vortex . We study a particular case of vortex collapses called mono-scale collapses and this study gives the H¨older regularity for the 3-vortex problem. This result implies in particular that the trajectories of the vortices are convergent even in the case of a collapse

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Comptes Rendus. Mathématique

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