140 citations · 709 across the 61 of their papers we have counts for
4 papers · 2 filters
Optimal regularity in time and space for stochastic porous medium equations
Stefano Bruno, Benjamin Gess, Hendrik Weber
We prove optimal regularity estimates in Sobolev spaces in time and space for solutions to stochastic porous medium equations. The noise term considered here is multiplicative, whi…
Well-posedness of the Dean--Kawasaki and the nonlinear Dawson--Watanabe equation with correlated noise
Benjamin Fehrman, Benjamin Gess
In this paper we prove the well-posedness of the generalized Dean--Kawasaki equation driven by noise that is white in time and colored in space. The results treat diffusion coeffic…
Stochastic partial differential equations arising in self-organized criticality
Ľubomír Baňas, Benjamin Gess, Marius Neuß
We study scaling limits of the weakly driven Zhang and the Bak-Tang-Wiesenfeld (BTW) model for self-organized criticality. We show that the weakly driven Zhang model converges to a…
Stabilization by transport noise and enhanced dissipation in the Kraichnan model
Benjamin Gess, Ivan Yaroslavtsev
Stabilization and sufficient conditions for mixing by stochastic transport are shown. More precisely, given a second order linear operator with possibly unstable eigenvalues on a s…