6 papers
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 s…
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…
No blow-up by nonlinear Itô noise for the Euler equations
Marco Bagnara, Mario Maurelli, Fanhui Xu
By employing a suitable multiplicative Itô noise with radial structure and with more than linear growth, we show the existence of a unique, global-in-time, strong solution for the…
Well-posedness of a reaction-diffusion model with stochastic dynamical boundary conditions
Mario Maurelli, Daniela Morale, Stefania Ugolini
We study the well-posedness of a nonlinear reaction diffusion partial differential equation system on the half-line coupled with a stochastic dynamical boundary condition, a random…
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…
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…