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(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

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Ferrario, Benedetta [1] ; Olivera, Christian [2]
Total Authors: 2
[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

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