Lucio Galeati

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20202026

ρ

-irregularity and related properties

1 citations · 1 across the 5 of their papers we have counts for

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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 $2$ D active scalars driven by incompressible transport noise of Kraichnan type, with regularity exponent $α \in (0, 1)$ ; our examples include the Euler…

math.AP2026

The 2D Euler equations are well-posed for generic initial data in $L^{2}$

Lucio Galeati

In this note we show the existence of a residual set (in the sense of Baire) of divergence free initial data $u_{0} \in L^{2} (D)$ , $D = R^{2}$ or $T^{2}$ , for which global e…

Anomalous properties of 2D active scalars perturbed by rough transport noise

The 2D Euler equations are well-posed for generic initial data in L2

The 2D Euler equations are well-posed for generic initial data in $L^{2}$