41 citations · 256 across the 24 of their papers we have counts for
Showing 2020Show all
2 papers · 1 filter
math.PR2020★ 14 cited
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…
math.PR2020★ 10 cited
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…