Uniform approximation of 2$d$ Navier-Stokes equation by stochastic interacting particle systems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles SIAM Journal on Mathematical Analysis Year : 2020

Uniform approximation of 2$d$ Navier-Stokes equation by stochastic interacting particle systems

Abstract

We consider an interacting particle system modeled as a system of $N$ stochastic differential equations driven by Brownian motions. We prove that the (mollified) empirical process converges, uniformly in time and space variables, to the solution of the two-dimensional Navier-Stokes equation written in vorticity form. The proofs follow a semigroup approach.
Fichier principal
Vignette du fichier
Flandoli-Olivera-Simon-2020-with-small-changes.pdf (419.49 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02529632 , version 1 (06-04-2020)
hal-02529632 , version 2 (16-10-2020)

Identifiers

Cite

Franco Flandoli, Christian Olivera, Marielle Simon. Uniform approximation of 2$d$ Navier-Stokes equation by stochastic interacting particle systems. SIAM Journal on Mathematical Analysis, 2020, 52 (6), ⟨10.1137/20M1328993⟩. ⟨hal-02529632v2⟩
143 View
210 Download

Altmetric

Share

Gmail Facebook X LinkedIn More