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math.AP2024
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 is open unless is close to the J.-L. Lions exponent a…
math.AP2024
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…