Global evolution of the random vortex filament equation

Zdzislaw Brzezniak; Massimiliano Gubinelli; Mikhail Neklyudov

Global evolution of the random vortex filament equation

Zdzislaw Brzezniak, Massimiliano Gubinelli, Mikhail Neklyudov

Mathematics

Research output: Working paper › Preprint

Abstract

In this article we prove existence of global solution for random vortex filament equation. Our work gives a positive answer to a question left open in recent publications: Berselli and Gubinelli (2007) showed the existence of global solution for a smooth initial condition while Bessaih, Gubinelli, Russo (2005) proved the existence of a local solution for a general initial condition.

Original language	Undefined/Unknown
Number of pages	19
Publication status	Published - Aug 2010

Access to Document

http://arxiv.org/abs/1008.1086

Cite this

@techreport{8b2954388dd74d7ea7850507bb6493f9,

title = "Global evolution of the random vortex filament equation",

abstract = "In this article we prove existence of global solution for random vortex filament equation. Our work gives a positive answer to a question left open in recent publications: Berselli and Gubinelli (2007) showed the existence of global solution for a smooth initial condition while Bessaih, Gubinelli, Russo (2005) proved the existence of a local solution for a general initial condition. ",

author = "Zdzislaw Brzezniak and Massimiliano Gubinelli and Mikhail Neklyudov",

year = "2010",

month = aug,

language = "Undefined/Unknown",

type = "WorkingPaper",

}

TY - UNPB

T1 - Global evolution of the random vortex filament equation

AU - Brzezniak, Zdzislaw

AU - Gubinelli, Massimiliano

AU - Neklyudov, Mikhail

PY - 2010/8

Y1 - 2010/8

N2 - In this article we prove existence of global solution for random vortex filament equation. Our work gives a positive answer to a question left open in recent publications: Berselli and Gubinelli (2007) showed the existence of global solution for a smooth initial condition while Bessaih, Gubinelli, Russo (2005) proved the existence of a local solution for a general initial condition.

AB - In this article we prove existence of global solution for random vortex filament equation. Our work gives a positive answer to a question left open in recent publications: Berselli and Gubinelli (2007) showed the existence of global solution for a smooth initial condition while Bessaih, Gubinelli, Russo (2005) proved the existence of a local solution for a general initial condition.

M3 - Preprint

BT - Global evolution of the random vortex filament equation

ER -