Umberto Pappalettera

collaborators

2 papers

math.AP2026

Failure of the Weak Sard property without Anomalous Dissipation

For every $α \in (0, 1)$ we construct an autonomous, divergence-free vector field $u \in C_{c}^{α} (R^{2}, R^{2})$ that does not have the weak Sard property and, nonetheless,…

math.PR2025

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…