Blar i Faculty of Engineering and Science på tidsskrift "Electronic Journal of Probability (EJP)"
Viser treff 1-2 av 2
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Random dynamical system generated by the 3D Navier-Stokes equation with rough transport noise
(Peer reviewed; Journal article, 2022)We consider the Navier-Stokes system in three dimensions perturbed by a transport noise which is sufficiently smooth in space and rough in time. The existence of a weak solution was proved in [26], however, as in the ... -
Rough linear PDEs with discontinuous coefficients – existence of solutions via regularization by fractional Brownian motion
(Peer reviewed; Journal article, 2020)We consider two related linear PDE’s perturbed by a fractional Brownian motion. We allow the drift to be discontinuous, in which case the corresponding deterministic equation is ill-posed. However, the noise will be shown ...