1008.1086 (Z. Brzeźniak et al.)

Global evolution of random vortex filament equation    [PDF]

Z. Brzeźniak, M. Gubinelli, M. Neklyudov

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.

View original: http://arxiv.org/abs/1008.1086