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math.AP2026
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…
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 for dimensions and throu…