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

Probabilistic representation for mild solution of the Navier-Stokes equations

Full text
Author(s):
Olivera, Christian [1]
Total Authors: 1
Affiliation:
[1] Univ Estadual Campinas, Dept Matemat, BR-13100 Campinas - Brazil
Total Affiliations: 1
Document type: Journal article
Source: MATHEMATICAL RESEARCH LETTERS; v. 28, n. 2, p. 563-573, 2021.
Web of Science Citations: 0
Abstract

This paper is based on a formulation of the Navier-Stokes equations developed by Iyer and Constantin {[}6], where the velocity field of a viscous incompressible fluid is written as the expected value of a stochastic process. Our contribution is to establish this probabilistic representation formula for mild solutions of the Navier-Stokes equations on R-d. (AU)

FAPESP's process: 15/07278-0 - Stochastic dynamics: analytical and geometrical aspects with applications
Grantee:Paulo Regis Caron Ruffino
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 17/17670-0 - Stochastic Partial Differential Equations and Particle Systems
Grantee:Christian Horacio Olivera
Support Opportunities: Regular Research Grants