23 citations · 87 across the 12 of their papers we have counts for
4 papers · 1 filter
Local well-posedness and global stability of one-dimensional shallow water equations with surface tension and constant contact angle
Jiaxu Li, Xin Liu, Dirk Peschka
We consider the one-dimensional shallow water problem with capillary surfaces and moving contact {lines}. An energy-based model is derived from the two-dimensional water wave equat…
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…
Sharp-interface limits of Cahn-Hilliard models and mechanics with moving contact lines
Leonie Schmeller, Dirk Peschka
We construct gradient structures for free boundary problems with nonlinear elasticity and study the impact of moving contact lines. In this context, we numerically analyze how phas…
Stationary solutions of liquid two-layer thin film models
Sebastian Jachalski, Robert Huth, Georgy Kitavtsev +2
We investigate stationary solutions of a thin-film model for liquid two-layer flows in an energetic formulation that is motivated by its gradient flow structure. The goal is to ach…