The evolution of a random vortex filament

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dc.creatorBessaih, Hakima
dc.creatorGubinelli, Massimiliano
dc.creatorRusso, Francesco
dc.date2004-07-08
dc.date2004-12-02
dc.date.accessioned2026-07-07T05:10:06Z
dc.date.available2026-07-07T05:10:06Z
dc.descriptionWe study an evolution problem in the space of continuous loops in three-dimensional Euclidean space modelled upon the dynamics of vortex lines in 3d incompressible and inviscid fluids. We establish existence of a local solution starting from Hölder regular loops with index greater than 1/3. When the Hölder regularity of the initial condition X is smaller or equal 1/2 we require X to be a rough path in the sense of Lyons. The solution will then live in an appropriate space of rough paths. In particular we can construct (local) solution starting from almost every Brownian loop.
dc.description25 pages, no figures, some additions, to appear in Ann. Probab
dc.identifierhttps://arxiv.org/abs/math/0407141
dc.identifierhttp://arxiv.org/abs/math/0407141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71823
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60H05 (Primary) 76B47 (Secondary)
dc.titleThe evolution of a random vortex filament
dc.typetext

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