Camillo De Lellis

activity

20022026

most citedOn admissibility criteria for weak solutions of the Euler equations

526 citations · 1.2k across the 69 of their papers we have counts for

collaborators

91 papers

physics.plasm-ph2026

Scalar Dissipation Criticality in Compressible Magnetized Turbulence

Svitlana Mayboroda, David N. Spergel, Camillo De Lellis

We extend the Obukhov-Corrsin theory of scalar turbulence to compressible flows with spatially variable, anisotropic diffusivity. Combining density and diffusivity into a single po…

math.DG2026

Stationary varifolds with singularities II

Camillo De Lellis, Jonas Hirsch, Zachary Lihn +1

For every dimension $m \geq 3$ , we show the existence of an open set $U \subset R^{m + 1}$ , a smooth Riemannian metric $g$ on it, and an integral $m$ -dimensional stationary var…

math.AP2026

Level sets of fractional Sobolev functions

Camillo De Lellis, Ming-Yuan Chang, Svitlana Mayboroda

We prove a coarea-type result for scalar functions $f$ in fractional Sobolev spaces $W^{s, p} (Ω)$ with $Ω \subset R^{n}$ , $0 < s < 1$ , and $1 \leq p < \infty$ . Our theorem shows t…

math.AP2026

Regularity thresholds for anomalous dissipation and related phenomena in passive scalars

Marco Bagnara, Daniel W. Boutros, Camillo De Lellis +1

We prove the absence of anomalous dissipation for passive scalars driven by some random autonomous divergence-free vector fields in $T^{d}$ . In dimension $d = 2$ we just need c…

math.DG2025

Stationary and stable varifolds with singularities

Camillo De Lellis, Jonas Hirsch, Luca Spolaor

We construct minimal $m$ -dimensional immersions in $R^{m + 1}$ , equipped with a $C^{1, α}$ metric, $α \in [0, 1)$ , with a sequence of \emph{catenoidal necks} or \emph{floating disks}…

math.AP2025

Some rigorous remarks on Migdal's momentum loop equation

Bruè Elia, Camillo De Lellis

We give a rigorous mathematical treatment of some portions of the theory developed by Alexander Migdal on the momentum loop equation.