Publications (82)
Nonlinear diffusion equations with nonlinear gradient noise
Konstantinos Dareiotis, Benjamin Gess
We prove the existence and uniqueness of entropy solutions for nonlinear diffusion equations with nonlinear conservative gradient noise. As particular applications our results incl…
Conservative stochastic PDEs on the whole space
Benjamin Fehrman, Benjamin Gess
The purpose of this paper is to establish a well-posedness theory for conservative stochastic partial differential equations on the whole space. This class of stochastic PDEs arise…
Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise
Benjamin Fehrman, Benjamin Gess
We prove the path-by-path well-posedness of stochastic porous media and fast diffusion equations driven by linear, multiplicative noise. As a consequence, we obtain the existence o…
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…
Random attractors for locally monotone stochastic partial differential equations
Benjamin Gess, Wei Liu, Andre Schenke
We prove the existence of random dynamical systems and random attractors for a large class of locally monotone stochastic partial differential equations perturbed by additive Lévy…
Strong Solutions for Stochastic Partial Differential Equations of Gradient Type
Benjamin Gess
Unique existence of analytically strong solutions to stochastic partial differential equations (SPDE) with drift given by the subdifferential of a quasi-convex function and with ge…