We study the Navier-Stokes equations on a smooth bounded domain D ⊂ 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.

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

Ferrario Benedetta
;
2018-01-01

Abstract

We study the Navier-Stokes equations on a smooth bounded domain D ⊂ 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1227406
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