Collisions and regularization for the 3-vortex problem

Simple item page
dc.creatorHernández-Garduño, Antonio
dc.creatorLacomba, Ernesto A.
dc.date2004-12-09
dc.date.accessioned2026-07-07T04:31:42Z
dc.date.available2026-07-07T04:31:42Z
dc.descriptionWe study the dynamics of 3 point-vortices on the plane for a fluid governed by Euler's equations, concentrating on the case when the moment of inertia is zero. We prove that the only motions that lead to total collisions are self-similar and that there are no binary collisions. Also, we give a regularization of the reduced system around collinear configurations (excluding binary collisions) which smoothes out the dynamics.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0412024
dc.identifierhttp://arxiv.org/abs/math-ph/0412024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57917
dc.subjectMathematical Physics
dc.subject76B47, 37J99
dc.titleCollisions and regularization for the 3-vortex problem
dc.typetext

Files

Collections

arXiv