23 citations · 87 across the 12 of their papers we have counts for
15 papers
Discretisation of Eulerian nonlinear elasticity and diffusion using gradient flows
Andrea Zafferi, Dirk Peschka
In this study, we introduce a general energy-based modelling approach for viscous poroelastic materials that feature diffusive transport in both Lagrangian and Eulerian frames. Our…
Combined effects of evaporation, sedimentation and solute crystallization on the dynamics of aerosol size distributions on multiple length and time scales
Sina Zendehroud, Ole Kleinjung, Philip Loche +5
We investigate three aspects of aerosol-mediated air-borne viral infection mechanisms on different length and time scales. First, we address the evolution of the size distribution…
Shape of Polystyrene Droplets on Soft PDMS: Exploring the Gap Between Theory and Experiment at the Three-Phase Contact Line
Khalil Remini, Leonie Schmeller, Dirk Peschka +2
The shapes of liquid polystyrene (PS) droplets on viscoelastic polydimethylsiloxane (PDMS) substrates are investigated experimentally using atomic force microscopy for a range of d…
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…