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$L^{p}$-solutions of the Navier-Stokes equation with fractional Brownian noise. (arXiv:1809.06847v1 [math.AP])

来源于:arXiv
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 $p>d$. 查看全文>>