73 citations · 250 across the 20 of their papers we have counts for
3 papers · 1 filter
Noise prevents infinite stretching of the passive field in a stochastic vector advection equation
Franco Flandoli, Mario Maurelli, Mikhail Neklyudov
A linear stochastic vector advection equation is considered; the equation may model a passive magnetic field in a random fluid. When the driving velocity field is rough but determi…
Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity
Zdzisław Brzeźniak, Franco Flandoli, Mario Maurelli
Strong existence and pathwise uniqueness of solutions with -vorticity of 2D stochastic Euler equations is proved. The noise is multiplicative and involves first derivat…
Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness
Lisa Beck, Franco Flandoli, Massimiliano Gubinelli +1
In this paper linear stochastic transport and continuity equations with drift in critical spaces are considered. In this situation noise prevents shocks for the transport e…