# 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. In these models the kernel of the Biot-Savart law is a power function of exponent − α . It is proved that, under a standard non-degeneracy hypothesis, the trajectories of the point-vortices have a H¨older regularity up to, and including, the time of collapse. The H¨older exponent obtained is 1 / ( α + 1) and…

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