140 citations · 709 across the 61 of their papers we have counts for
4 papers · 2 filters
An Example of Intrinsic Randomness in Deterministic PDEs
Franco Flandoli, Benjamin Gess, Francesco Grotto
A new mechanism leading to a random version of Burgers' equation is introduced: it is shown that the Totally Asymmetric Exclusion Process in discrete time (TASEP) can be understood…
Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise
Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann +1
We prove the existence of nonnegative martingale solutions to a class of stochastic degenerate-parabolic fourth-order PDEs arising in surface-tension driven thin-film flow influenc…
Conservative stochastic PDE and fluctuations of the symmetric simple exclusion process
Nicolas Dirr, Benjamin Fehrman, Benjamin Gess
In this paper, we provide a continuum model for the fluctuations of the symmetric simple exclusion process about its hydrodynamic limit. The model is based on an approximating sequ…
Porous media equations with multiplicative space-time white noise
Konstantinos Dareiotis, Máté Gerencsér, Benjamin Gess
The existence of martingale solutions for stochastic porous media equations driven by nonlinear multiplicative space-time white noise is established in spatial dimension one. The S…