73 citations · 250 across the 20 of their papers we have counts for
23 papers
Edwards-Wilkinson limit for a stochastic advection-diffusion PDE
Sotirios Kotitsas, Dejun Luo, Mario Maurelli
We consider a diffusion in a Gaussian random environment that is white in time and study the large-scale behavior of the quenched density with respect to the Lebesgue measure. We s…
Anomalous Regularization in Kazantsev-Kraichnan Model
Marco Bagnara, Francesco Grotto, Mario Maurelli
This work investigates a passive vector field which is transported and stretched by a divergence-free Gaussian velocity field, delta-correlated in time and poorly correlated in spa…
Anomalous Regularization in Kraichnan's Passive Scalar Model
Lucio Galeati, Francesco Grotto, Mario Maurelli
We consider the advection of a passive scalar by a divergence free random Gaussian field, white in time and Hölder regular in space (rough Kraichnan's model), a well established sy…
Global well posedness and ergodic results in regular Sobolev spaces for the nonlinear Schrödinger equation with multiplicative noise and arbitrary power of the nonlinearity
Zdzisław Brzeźniak, Benedetta Ferrario, Mario Maurelli +1
We consider the nonlinear Schrödinger equation on the -dimensional torus , with the nonlinearity of polynomial type . For any and $s>\fr…
Regularization by rough Kraichnan noise for the generalised SQG equations
Marco Bagnara, Lucio Galeati, Mario Maurelli
We consider the generalised Surface Quasi-Geostrophic (gSQG) equations in with parameter , an active scalar model interpolating between SQG () and th…
The Ebin-Marsden toolbox for stochastic PDEs: stochastic Euler equations
Zdzisław Brzeźniak, Mario Maurelli, Alexander Schmeding
The Ebin-Marsden theory is a powerful geometric framework for many PDEs from fluid dynamics. In this paper we provide a toolbox to apply the Ebin-Marsden approach to stochastic PDE…