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math.AP2023★ 4 cited
Classical solutions to the thin-film equation with general mobility in the perfect-wetting regime
Manuel V. Gnann, Anouk C. Wisse
We prove well-posedness, partial regularity, and stability of the thin-film equation with general mobility and mobility exponent $n\in (1,…
math.AP2023
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…
math.AP2023★ 3 cited
Droplet motion with contact-line friction: long-time asymptotics in complete wetting
Lorenzo Giacomelli, Manuel V. Gnann, Dirk Peschka
We consider the thin-film equation for a class of free boundary conditions modelling friction at the contact line, as introduced by E and Ren. Our analysis focuses on formal long-t…