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

Benedetta Ferrario Christian Olivera

*Corresponding author: Benedetta Ferrario benedetta.ferrario@unipv.it

Math2018,4,539doi:10.3934/Math.2018.4.539

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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