From the 2 of 14 linked papers with an AI index.
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Absence of blow-up in the 3D Navier-Stokes equations with transport noise
Antonio Agresti
The paper proves that adding a suitable transport noise to the three-dimensional Navier‑Stokes equations yields global‑in‑time smooth solutions with high probability, even for arbi…
Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations
Antonio Agresti, Federico Butori, Eliseo Luongo
We study a logarithmically hyperviscous Navier-Stokes model on the three-dimensional torus with Lie-transport noise, which includes both transport and stretching. We prove that, fo…
Fractal dimension of singular times for SPDEs: Energy bounds, criticality, and weak-strong uniqueness
Antonio Agresti
For several physically relevant SPDEs, it is known that global weak solutions coexist with local strong ones. Typically, weak-strong uniqueness results are known, and ensure that t…
A Note on a threshold for temporal regularity of stochastic PDEs
Antonio Agresti, Mark Veraar
We consider solutions to linear parabolic SPDEs of the form \[ \mathrm{d} u(t) + A u(t)\, \mathrm{d} t = g(t)\, \mathrm{d} β, \qquad u(0)=0, \] where is a positive, invertible…
Sharp bounds for non-trace class noise and applications to SPDEs
Antonio Agresti, Fabian Germ, Mark Veraar
In the study of stochastic PDEs with colored, non-trace class space-time noise, one frequently encounters Gaussian series of the form where $(Î…
The large deviation principle for the stochastic 3D primitive equations with transport noise
Antonio Agresti, Esmée Theewis
We prove the small-noise large deviation principle for the three-dimensional primitive equations with transport noise and turbulent pressure. Transport noise is important for geoph…