The 3D Euler equations, precisely local smooth solutions of class H s 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.
Mean Field Limit of Interacting Filaments for 3D Euler Equations / Bessaih, H.; Coghi, M.; Flandoli, F.. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 174:3(2019), pp. 562-578. [10.1007/s10955-018-2189-4]
Mean Field Limit of Interacting Filaments for 3D Euler Equations
Coghi M.;
2019-01-01
Abstract
The 3D Euler equations, precisely local smooth solutions of class H s 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
