This paper is an improvement of previous results on concentrated Euler flows and their connection with the point vortex model. Precisely, we study the time evolution of an incompressible two dimensional Euler fluid when the initial vorticity is concentrated in N disjoint regions of diameter ɛ. We show that the evolved vorticity is concentrated in N regions of diameter d, d b ɛ ↵ (b independent of ɛ) for any ↵ < 1/2. The connection is obtained as ɛ → 0.
Concentrated Euler flows and point vortex model / Caprini, Lorenzo; Marchioro, Carlo. - In: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. - ISSN 1120-7183. - 36:1-2(2015), pp. 11-25.
Concentrated Euler flows and point vortex model
Caprini Lorenzo
;Marchioro Carlo
2015
Abstract
This paper is an improvement of previous results on concentrated Euler flows and their connection with the point vortex model. Precisely, we study the time evolution of an incompressible two dimensional Euler fluid when the initial vorticity is concentrated in N disjoint regions of diameter ɛ. We show that the evolved vorticity is concentrated in N regions of diameter d, d b ɛ ↵ (b independent of ɛ) for any ↵ < 1/2. The connection is obtained as ɛ → 0.| File | Dimensione | Formato | |
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