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Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations

Priola, Enrico; Gubinelli, Massimiliano; Flandoli, Franco (2011), Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations, Stochastic Processes and their Applications, 121, 7, p. 1445-1463. http://dx.doi.org/10.1016/j.spa.2011.03.004

Type
Article accepté pour publication ou publié
External document link
http://fr.arxiv.org/abs/1004.1407
Date
2011
Journal name
Stochastic Processes and their Applications
Volume
121
Number
7
Publisher
Elsevier
Pages
1445-1463
Publication identifier
http://dx.doi.org/10.1016/j.spa.2011.03.004
Metadata
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Author(s)
Priola, Enrico
Gubinelli, Massimiliano
Flandoli, Franco
Abstract (EN)
The motion of a finite number of point vortices on a two-dimensional periodic domain is considered. In the deterministic case it is known to be well posed only for almost every initial configuration. Coalescence of vortices may occur for certain initial conditions. We prove that when a generic stochastic perturbation compatible with the Eulerian description is introduced, the point vortex motion becomes well posed for every initial configuration, in particular coalescence disappears.
Subjects / Keywords
Hormander conditions; Euler equations; Stochastic differential equations

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