Umberto Pappalettera

collaborators

2 papers

math.AP2026

Spectral instability and non-uniqueness for the Keller-Segel system

Eliseo Luongo, Umberto Pappalettera

We show that the Cauchy problem associated with the parabolic-elliptic Keller-Segel model is locally ill-posed in $L^{q} (R^{n})$ for dimensions $n \in {3, \dots, 9}$ and throu…

math.CA2025

Collapse and Burst of generalized Surface Quasi-Geostrophic point Vortices

Francesco Grotto, Umberto Pappalettera

We consider the generalized Surface Quasi-Geostrophic point vortices dynamics, and identify a sufficient condition implying existence of bursts out of (and collapses into) any give…