Antonio Agresti

works on

fluid dynamics 1 global regularity 1 local well-posedness 1 navier-stokes equations 1 nonlinear SPDEs 1 parabolic regularization 1 probabilistic methods 1 rough multiplicative noise 1 stochastic partial differential equations 1 stochastic reaction-diffusion 1 transport noise 1

From the 2 of 14 linked papers with an AI index.

activity

20242026

collaborators

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4 papers · 1 filter

math.AP2026

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…

math.AP2026

Well-posedness of the stochastic thin-film equation with an interface potential

Antonio Agresti, Max Sauerbrey

We consider strictly positive solutions to a class of fourth-order conservative quasilinear SPDEs on the $d$ -dimensional torus modeled after the stochastic thin-film equation. We p…

math.AP2025

Global well-posedness of 2D Navier-Stokes with Dirichlet boundary fractional noise

Antonio Agresti, Alexandra Blessing, Eliseo Luongo

In this paper, we prove the global well-posedness and interior regularity for the 2D Navier-Stokes equations driven by a fractional noise acting as an inhomogeneous Dirichlet-type…

math.AP2024

Global smooth solutions by transport noise of 3D Navier-Stokes equations with small hyperviscosity

Antonio Agresti

The existence of global smooth solutions to the Navier-Stokes equations (NSEs) with hyperviscosity $(- I^)^{3}$ is open unless $I^^{3}$ is close to the J.-L. Lions exponent $ \frac{5}{4}…