From the 2 of 13 linked papers with an AI index.
13 papers
Origin of effective non-Fourier heat conduction phenomena in heterogeneous materials
Róbert Kovács
Phenomenological models of non-Fourier heat conduction often lack a strict microstructural foundation, leading to ambiguities when modeling complex heterogeneous materials. In this…
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…
An optimal local theory for reaction-diffusion equations driven by non-trace-class noise
Antonio Agresti, Fabian Germ, Mark Veraar
The paper develops a general local existence and uniqueness theory for stochastic reaction‑diffusion equations driven by rough, possibly non‑trace‑class noise, handling low‑regular…
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…