<em>L<sub>p</sub></em>-solutions of the Navier-Stokes equation with fractional Brownian noise
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 $p>d$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2018-11-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/10.3934/Math.2018.4.539/fulltext.html |