C. Olivera

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20112023

most citedLocal

L^{p}

-solution for semilinear heat equation with fractional noise

2 citations · 3 across the 5 of their papers we have counts for

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Showing 2018 · math.APShow all

3 papers · 2 filters

math.AP2018

$L^{p}$ -solutions of the Navier-Stokes equation with fractional Brownian noise

Bendetta Ferrario, Christian Olivera

We study the Navier-Stokes equations on a smooth bounded domain $D \subset R^{d}$ ( $d = 2$ or 3), under the effect of an additive fractional Brownian noise. We show local existe…

math.AP2018

Probabilistic representation for mild solution of the Navier-Stokes equations

C. Olivera

This paper is based on a formulation of the Navier-Stokes equations developed by Iyer and Constantin \cite{Cont} , where the velocity field of a viscous incompressible fluid is wri…

math.AP2018

2D Navier-Stokes equation with cylindrical fractional Brownian noise

Benedetta Ferrario, Christian Olivera

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…

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

Probabilistic representation for mild solution of the Navier-Stokes equations

2D Navier-Stokes equation with cylindrical fractional Brownian noise

$L^{p}$ -solutions of the Navier-Stokes equation with fractional Brownian noise