140 citations · 709 across the 61 of their papers we have counts for
18 papers · 1 filter
Probabilistically Strong Solutions to Stochastic Euler Equations
Benjamin Gess, Robert Lasarzik
In this paper, we establish the existence of probabilistically strong, measure-valued solutions for the stochastic incompressible Navier--Stokes equations and prove their convergen…
Existence of martingale solutions to a stochastic kinetic model of chemotaxis
Benjamin Gess, Sebastian Herr, Anne Niesdroy
We show the existence of local and global in time weak martingale solutions for a stochastic version of the Othmer-Dunbar-Alt kinetic model of chemotaxis under suitable assumptions…
Optimal Regularity in Time and Space for Nonlocal Porous Medium Type Equations
Benjamin Gess, Jonas Sauer
A broad class of possibly non-unique generalized kinetic solutions to hyperbolic-parabolic PDEs is introduced. Optimal regularity estimates in time and space for such solutions to…
Solutions to the stochastic thin-film equation for initial values with non-full support
Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann +1
The stochastic thin-film equation with mobility exponent on the one-dimensional torus with multiplicative Stratonovich noise is considered. We show that mart…
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise
Benjamin Gess, Rishabh S. Gvalani, Florian Kunick +1
In micro-fluidics not only does capillarity dominate but also thermal fluctuations become important. On the level of the lubrication approximation, this leads to a quasi-linear fou…
Optimal regularity in time and space for the porous medium equation
Benjamin Gess, Jonas Sauer, Eitan Tadmor
Regularity estimates in time and space for solutions to the porous medium equation are shown in the scale of Sobolev spaces. In addition, higher spatial regularity for powers of th…