12 citations · 27 across the 4 of their papers we have counts for
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Construction of unstable concentrated solutions of the Euler and gSQG equations
Martin Donati
In this paper we construct solutions to the Euler and gSQG equations that are concentrated near unstable stationary configurations of point-vortices. Those solutions are themselves…
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 …
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…
Long time confinement of vorticity around a stable stationary point vortex in a bounded planar domain
Martin Donati, Dragos Iftimie
In this paper we consider the incompressible Euler equation in a simply-connected bounded planar domain. We study the confinement of the vorticity around a stationary point vortex.…