7 citations · 7 across the 6 of their papers we have counts for
6 papers
Refined uniqueness results for 2D Euler and gSQG with rough Kraichnan noise
Marco Bagnara, Lucio Galeati
We prove strong well-posedness results for the stochastic 2D Euler equations in vorticity form and generalized SQG equations, with initial data and driven by a spatially roug…
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…
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…
A suitable nonlinear Stratonovich noise prevents blow-up in the Euler equations and other SPDEs
Marco Bagnara
We perturb the 3D Euler equations by a particular non-linear Stratonovich noise. We show the existence and uniqueness of a global-in-time (i.e. no blow-up) smooth solution. The res…
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…
On the Hausdorff Measure of with the Euclidean Topology
Marco Bagnara, Luca Gennaioli, Giacomo Maria Leccese +1
In this paper we answer a question raised by David H. Fremlin about the Hausdorff measure of with respect to a distance inducing the Euclidean topology. In particula…