10 citations · 10 across the 4 of their papers we have counts for
4 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…
Failure of the Weak Sard property without Anomalous Dissipation
Umberto Pappalettera
For every we construct an autonomous, divergence-free vector field that does not have the weak Sard property and, nonetheless,…
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…
Quantitative mixing and dissipation enhancement property of Ornstein-Uhlenbeck flow
Umberto Pappalettera
This work deals with mixing and dissipation ehancement for the solution of advection-diffusion equation driven by a Ornstein-Uhlenbeck velocity field. We are able to prove a quanti…