8 citations · 19 across the 12 of their papers we have counts for
4 papers · 1 filter
Remarks on the stochastic transport equation with Hölder drift
Franco Flandoli, Massimiliano Gubinelli, Enrico Priola
We consider a stochastic linear transport equation with a globally Hölder continuous and bounded vector field. Opposite to what happens in the deterministic case where shocks may a…
Pathwise uniqueness for stochastic reaction-diffusion equations in Banach spaces with an Hölder drift component
Sandra Cerrai, Giuseppe Da Prato, Franco Flandoli
We prove pathwise uniqueness for an abstract stochastic reaction-diffusion equation in Banach spaces. The drift contains a bounded Hölder term; in spite of this, due to the space-t…
Random perturbations of nonlinear parabolic systems
Lisa Beck, Franco Flandoli
Several aspects of regularity theory for parabolic systems are investigated under the effect of random perturbations. The deterministic theory, when strict parabolicity is assumed,…
Well Posedness for Positive Dyadic Model
David Barbato, Franco Flandoli, Francesco Morandin
We consider the solutions of the Cauchy problem for a dyadic model of Euler equations. We prove global existence and uniqueness of Leray-Hopf solutions in a rather large class K th…