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arXiv · 1802.08623

2D Navier-Stokes equation with cylindrical fractional Brownian noise

Benedetta Ferrario·Christian Olivera
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Abstract

We consider the Navier-Stokes equation on the 2D torus, with a stochastic forcing term which is a cylindrical fractional Wiener noise of Hurst parameter $H$. Following [3,8] which dealt with the case $1/2$, we prove a local existence and uniqueness result when $7/16< H< 1/ 2$ and a global existence and uniqueness result when $ 1/2<H<1$.

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Benedetta Ferrario, Christian Olivera. 2018-02-23. 2D Navier-Stokes equation with cylindrical fractional Brownian noise. https://arxiv.org/abs/1802.08623

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