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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.AP2020★ 21 cited
Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations
Katharina Eichinger, Manuel V. Gnann, Christian Kuehn
We investigate the stability of traveling-pulse solutions to the stochastic FitzHughNagumo equations with additive noise. Special attention is given to the effect of small noise on…