Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

UNIFORM APPROXIMATION OF 2 DIMENSIONAL NAVIER-STOKES EQUATION BY STOCHASTIC INTERACTING PARTICLE SYSTEMS

Full text
Author(s):
Flandoli, Franco [1] ; Olivera, Christian [2] ; Simon, Marielle [3]
Total Authors: 3
Affiliation:
[1] Scuola Normale Super Pisa, Pisa - Italy
[2] Univ Estadual Campinas UNICAMP, Dept Matemat, Campinas - Brazil
[3] Univ Lille, UMR 8524, Lab Paul Painleve, CNRS, INRIA, F-59000 Lille - France
Total Affiliations: 3
Document type: Journal article
Source: SIAM JOURNAL ON MATHEMATICAL ANALYSIS; v. 52, n. 6, p. 5339-5362, 2020.
Web of Science Citations: 0
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. (AU)

FAPESP's process: 18/15258-7 - Approximation of partial differential equations by stochastic particle systems with weak and moderate interaction
Grantee:Christian Horacio Olivera
Support Opportunities: Regular Research Grants