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.)

2D Navier-Stokes equation with cylindrical fractional Brownian noise

Full text
Author(s):
Ferrario, Benedetta [1] ; Olivera, Christian [2]
Total Authors: 2
Affiliation:
[1] Univ Pavia, Dipartimento Matemat F Casorati, Pavia - Italy
[2] Univ Estadual Campinas, Dept Matemat, Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Annali di Matematica Pura ed Applicata; v. 198, n. 3, p. 1041-1067, JUN 2019.
Web of Science Citations: 0
Abstract

We consider the Navier-Stokes equation on the 2D torus, with a stochastic forcing term which is a cylindrical fractional Wiener noise of Hurst parameter H. Following Albeverio and Ferrario (Ann Probab 32(2):1632-1649, 2004) and Da Prato and Debussche (J Funct Anal 196(1):180-210, 2002) which dealt with the case H= , we prove a local existence and uniqueness result when and a global existence and uniqueness result when 1/2 < H < 1. (AU)

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