On the vortex flow in bounded domains |
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| Authors: | D. Dürr M. Pulvirenti |
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| Affiliation: | (1) Hill Center for the Math. Sciences, Rutgers University, 08903 New Brunswick, NJ, USA;(2) Istituto Matematico, Universita di Roma, Roma, Italy |
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| Abstract: | We consider the motion ofN vortices in bounded domains in IR2. We prove that the set of initial positions which lead to a collapse of two or more vortices has Lebesgue measure zero. We extend this result to the stochastic motion of the vortices, where the stochasticity comes from a Wiener-noise term, which is added to the deterministic equation of motion.On leave of the Fachbereich Mathematik, RUB, 4630 Bochum, Federal Republic of Germany. Supported by a DFG-fellowshipPartially supported by Italian CNR |
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