21 citations · 48 across the 7 of their papers we have counts for
7 papers
Finite speed of propagation and waiting time phenomena for stochastic porous media equations with nonlinear conservative noise
Günther Grün, Max Sauerbrey, Joshua Utley
Starting from localized energy estimates, we prove finite speed of propagation for kinetic solutions to stochastic porous media equations with nonlinear conservative noise, the exi…
Existence of nonnegative energy-dissipating solutions to a class of stochastic thin-film equations under weak slippage: Part II -- compactly supported initial data
Günther Grün, Lorenz Klein
We prove existence of martingale solutions to a class of stochastic thin-film equations for mobility exponents and compactly supported initial data. With the perspect…
Zero-contact angle solutions to stochastic thin-film equations
Günther Grün, Lorenz Klein
We establish existence of nonnegative martingale solutions to stochastic thin-film equations with compactly supported initial data under Stratonovich noise. Based on so called -…
Existence of nonnegative solutions to stochastic thin-film equations in two space dimensions
Stefan Metzger, Günther Grün
We prove the existence of martingale solutions to stochastic thin-film equations in the physically relevant space dimension . Conceptually, we rely on a stochastic Faedo-Galer…
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…
Two-phase flow with mass density contrast: stable schemes for a thermodynamic consistent and frame-indifferent diffuse-interface model
Günther Grün, Fabian Klingbeil
In this paper, we present a numerical scheme for the diffuse-interface model in [Abels, Garcke, Grün, M3AS 22(3), 2012] for two-phase flow of immiscible, incompressible fluids. As…