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math.AP2026
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…
math.AP2025
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…
math.AP2024
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…