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- Title
Mean Field Limit of Interacting Filaments for 3D Euler Equations.
- Authors
Bessaih, Hakima; Coghi, Michele; Flandoli, Franco
- Abstract
The 3D Euler equations, precisely local smooth solutions of class Hs with s>5/2 are obtained as a mean field limit of finite families of interacting curves, the so called vortex filaments, described by means of the concept of 1-currents. This work is a continuation of a previous paper, where a preliminary result in this direction was obtained, with the true Euler equations replaced by a vector valued non linear PDE with a mollified Biot-Savart relation.
- Subjects
MEAN field theory; EULER equations; BIOT-Savart law; MATHEMATICAL models; MATHEMATICAL analysis
- Publication
Journal of Statistical Physics, 2019, Vol 174, Issue 3, p562
- ISSN
0022-4715
- Publication type
Article
- DOI
10.1007/s10955-018-2189-4