1 citations · 1 across the 5 of their papers we have counts for
6 papers
Anomalous properties of 2D active scalars perturbed by rough transport noise
Lucio Galeati, Eliseo Luongo, Umberto Pappalettera
We study SPDEs associated with D active scalars driven by incompressible transport noise of Kraichnan type, with regularity exponent ; our examples include the Euler…
The 2D Euler equations are well-posed for generic initial data in
Lucio Galeati
In this note we show the existence of a residual set (in the sense of Baire) of divergence free initial data , or , for which global e…
Anomalous dissipation and regularization in isotropic Gaussian turbulence
Theodore D. Drivas, Lucio Galeati, Umberto Pappalettera
In this work we rigorously establish a number of properties of "turbulent" solutions to the stochastic transport and the stochastic continuity equations constructed by Le Jan and R…
Mixing for generic rough shear flows
Lucio Galeati, Massimiliano Gubinelli
We study mixing and diffusion properties of passive scalars driven by rough shear flows. Genericity is here understood in the sense of prevalence and (ir)regularity is me…
Prevalence of -irregularity and related properties
Lucio Galeati, Massimiliano Gubinelli
We show that generic Hölder continuous functions are -irregular. The property of -irregularity has been first introduced by Catellier and Gubinelli (Stoc. Proc. Appl. 126, 20…
Noiseless regularisation by noise
Lucio Galeati, Massimiliano Gubinelli
We analyse the effect of a generic continuous additive perturbation to the well-posedness of ordinary differential equations. Genericity here is understood in the sense of prevalen…