Global evolution of random vortex filament equation

Z. Brzeźniak; M. Gubinelli; M. Neklyudov

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arXiv · 1008.1086

Global evolution of random vortex filament equation

Z. Brzeźniak·M. Gubinelli·M. Neklyudov

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Abstract

We prove the existence of a global solution for the filament equation with inital condition given by a geometric rough path in the sense of Lyons (1998).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 given by a rough path.

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BibTeX RIS

Z. Brzeźniak, M. Gubinelli, M. Neklyudov. 2010-08-05. Global evolution of random vortex filament equation. https://arxiv.org/abs/1008.1086

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