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Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift
F. Flandoli, M. Gubinelli, E. Priola
We consider a SDE with a smooth multiplicative non-degenerate noise and a possibly unbounded Holder continuous drift term. We prove existence of a global flow of diffeomorphisms by…
On a stochastic version of Prouse model in fluid dynamics
B. Ferrario, F. Flandoli
A stochastic version of a modified Navier-Stokes equation (introduced by Prouse) is considered in a 3-dimensional torus. We prove existence and uniqueness of martingale solutions.…
Markovianity and ergodicity for a surface growth PDE
D. Blömker, F. Flandoli, M. Romito
The paper analyses a model in surface growth, where uniqueness of weak solutions seems to be out of reach. We provide the existence of a weak martingale solution satisfying energy…
Regularity of transition semigroups associated to a 3D stochastic Navier-Stokes equation
F. Flandoli, M. Romito
A 3D stochastic Navier-Stokes equation with a suitable non degenerate additive noise is considered. The regularity in the initial conditions of every Markov transition kernel assoc…