2 citations · 3 across the 4 of their papers we have counts for
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Local -solution for semilinear heat equation with fractional noise
Jorge Clarke, Christian Olivera
We study the -solutions for the semilinear heat equation with unbounded coefficients and driven by a infinite dimensional fractional Brownian motion with self-similarity par…
-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 ( or 3), under the effect of an additive fractional Brownian noise. We show local existe…
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…
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 . Following [3,8] which…