5 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…
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…
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 is open unless is close to the J.-L. Lions exponent a…
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 -dimensional torus modeled after the stochastic thin-film equation. We p…