L-p-solutions of the Navier-Stokes equation with fractional Brownian noise

Ferrario, Benedetta; Olivera, Christian

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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.)

L-p-solutions of the Navier-Stokes equation with fractional Brownian noise

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Author(s):	Ferrario, Benedetta ^[1] ; Olivera, Christian ^[2] Total Authors: 2
Affiliation:	^[1] Univ Pavia, Dipartimento Matemat, Via Ferrata 5, I-27100 Pavia - Italy ^[2] Univ Estadual Campinas, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	AIMS MATHEMATICS; v. 3, n. 4, p. 539-553, 2018.
Web of Science Citations:	0
Abstract
We study the Navier-Stokes equations on a smooth bounded domain D subset of R-d (d = 2 or 3), under the effect of an additive fractional Brownian noise. We show local existence and uniqueness of a mild L(-)(p)solution for p > 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

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