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

Benedetta Ferrario | Zendy; Christian Olivera | Zendy

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<em>L<sub>p</sub></em>-solutions of the Navier-Stokes equation with fractional Brownian noise

Author(s) -

Benedetta Ferrario,

Christian Olivera

Publication year - 2018

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2018.4.539

Subject(s) - bounded function , uniqueness , domain (mathematical analysis) , mathematics , brownian noise , noise (video) , fractional brownian motion , brownian motion , mathematical analysis , navier–stokes equations , physics , white noise , computer science , thermodynamics , compressibility , statistics , artificial intelligence , image (mathematics)

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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