Article ID Journal Published Year Pages File Type
1156823 Stochastic Processes and their Applications 2011 19 Pages PDF
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 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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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