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

12 citations

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2 papers

math.AP2021★ 1 cited

On the existence of weak solutions for the 2D incompressible Euler equations with in-out flow and source and sink points

Marco Bravin

Well-posedness for the two dimensional Euler system with given initial vorticity is known since the works of Judovič. In this paper we show existence of solutions in the case where…

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…