$L^{p}$-solutions of the Navier-Stokes equation with fractional Brownian noise

Bendetta Ferrario; Christian Olivera

arxiv: 1809.06847 · v2 · pith:U3JCU4V6new · submitted 2018-09-18 · 🧮 math.AP · math.PR

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

Bendetta Ferrario , Christian Olivera This is my paper

classification 🧮 math.AP math.PR

keywords brownianfractionalnavier-stokesnoiseadditiveboundeddomaineffect

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

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