Lp-solutions of the Navier-Stokes equation with fractional Brownian noise

Autor: Benedetta Ferrario, Christian Olivera
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: AIMS Mathematics, Vol 3, Iss 4, Pp 539-553 (2018)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/Math.2018.4.539/fulltext.html
Popis: 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 $p>d$.
Databáze: Directory of Open Access Journals