# H\"older regularity for collapses of point vortices

@inproceedings{Donati2021HolderRF, title={H\"older regularity for collapses of point vortices}, author={Martin Donati and Ludovic Godard-Cadillac}, year={2021} }

The first part of this article studies the collapses of point-vortices for the Euler equation in the plane and for surface quasi-geostrophic equations in the general setting of α models. This consists in a Biot-Savart law with a kernel being a power function of exponent −α. It is proved that, under a standard non-degeneracy hypothesis, the trajectories of the vorticies have a regularity Hölder at T the time of collapse. The Hölder exponent obtained is 1/(α+ 1) and this exponent is proved to be…

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