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20202023
most cited2D point vortex dynamics in bounded domains: global existence for almost every initial data

12 citations · 27 across the 4 of their papers we have counts for

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math.AP2021★ 6 cited

Hölder regularity for collapses of point vortices

Martin Donati, Ludovic Godard-Cadillac

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 …

math.AP2021★ 12 cited

2D point vortex dynamics in bounded domains: global existence for almost every initial data

Martin Donati

In this paper, we prove that in bounded planar domains with boundary, for almost every initial condition in the sense of the Lebesgue measure, the point vortex system has…