6 papers · 1 filter
Global classical solutions by transport noise for reaction-diffusion systems with entropy dissipation
Antonio Agresti, Michael Kniely, Bao Quoc Tang
The existence of global classical solutions for reaction-diffusion systems arising from chemical reaction networks remains a major open problem in the deterministic setting, especi…
An optimal local theory for reaction-diffusion equations driven by non-trace-class noise
Antonio Agresti, Fabian Germ, Mark Veraar
We study local well-posedness for a class of stochastic reaction-diffusion equations driven by multiplicative, possibly colored, noise. The interaction between rough stochastic for…
On the absence of blow-up in the 3D Navier-Stokes equations with transport noise
Antonio Agresti
Establishing the global-in-time smoothness of solutions to the 3D Navier-Stokes equations (NSEs) with large initial data remains a long-standing open problem. In this paper, we pro…
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…
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 $(γ_n…