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.File in questo prodotto:
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