<em>L<sub>p</sub></em>-solutions of the Navier-Stokes equation with fractional Brownian noise

<em>L<sub>p</sub></em>-solutions of the Navier-Stokes equation with fractional Brownian noise

We study the Navier-Stokes equations on a smooth bounded domain $D\subset \mathbb R^d$ ($d=2$ or 3), under the effect of an additive fractional Brownian noise. We show local existence and uniqueness of a mild $L^p$-solution for $p&gt;d$.

Bibliographic Details
Main Authors: Benedetta Ferrario, Christian Olivera
Format: Article
Language:English
Published: AIMS Press 2018-11-01
Series:AIMS Mathematics
Subjects:
stochastic partial di erential equations| Navier-Stokes equations| mild solution| fractional Brownian motion
Online Access:http://www.aimspress.com/article/10.3934/Math.2018.4.539/fulltext.html

Internet

http://www.aimspress.com/article/10.3934/Math.2018.4.539/fulltext.html

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