arXiv:1809.06847 [math.AP]AbstractReferencesReviewsResources
$L^{p}$-solutions of the Navier-Stokes equation with fractional Brownian noise
Bendetta Ferrario, Christian Olivera
Published 2018-09-18Version 1
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 $p>d$.
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