Global evolution of random vortex filament equation

Details Global evolution of random vortex filament equation Global evolution of random vortex filament equation

2010-08-05

arxiv.org/abs/1008.1086v1

Mathematics

Probability

19 pages

Scientific paper

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.

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