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EnglishThe 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 configurations. 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.
Full well-posednessof point vortex dynamics corresponding to stochastic2D Euler equations / F. Flandoli; M. Gubinelli; E. Priola. - In: STOCHASTIC PROCESSES AND THEIR APPLICATIONS. - ISSN 0304-4149. - 121(2011), pp. 1445-1463.
| Titolo: | Full well-posednessof point vortex dynamics corresponding to stochastic2D Euler equations |
| Autori Riconosciuti: | |
| Autori: | F. Flandoli; M. Gubinelli; E. Priola |
| Data di pubblicazione: | 2011 |
| Abstract: | 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 configurations. 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. |
| Volume: | 121 |
| Pagina iniziale: | 1445 |
| Pagina finale: | 1463 |
| Digital Object Identifier (DOI): | 10.1016/j.spa.2011.03.004 |
| URL: | http://arxiv.org/pdf/1004.1407v1 http://www.sciencedirect.com/science/article/pii/S0304414911000639 |
| Rivista: | STOCHASTIC PROCESSES AND THEIR APPLICATIONS |
| Appare nelle tipologie: | 03A-Articolo su Rivista |
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