22 citations · 77 across the 10 of their papers we have counts for
10 papers
Hyperparameter Optimization in the Estimation of PDE and Delay-PDE models from data
Oliver Mai, Tim W. Kroll, Uwe Thiele +1
We propose an improved method for estimating partial differential equations and delay partial differential equations from data, using Bayesian optimization and the Bayesian informa…
The role of substrate mechanics in osmotic biofilm spreading
Anthony Pietz, Karin John, Uwe Thiele
Bacteria invade surfaces by forming dense colonies encased in a polymer matrix. Successful settlement of founder bacteria, early microcolony development and later macroscopic sprea…
Mesoscopic hydrodynamic model for spreading, sliding and coarsening compound drops
Jan Diekmann, Uwe Thiele
We revisit the mesoscopic hydrodynamic description of the dynamics of sessile partially wetting compound drops, i.e., of drops that consist of two immiscible nonvolatile partially…
Gradient dynamics model for drops of volatile liquid on a porous substrate
Simon Hartmann, Uwe Thiele
We present a mesoscopic hydrodynamic model for a spreading drop of volatile partially wetting liquid on a solid porous layer of small thickness. Thereby, evaporation takes place un…
Local Order Controls the Onset of Oscillations in the Nonreciprocal Ising Model
Kristian Blom, Uwe Thiele, Aljaž Godec
We elucidate the generic bifurcation behavior of local and global order in the nonreciprocal Ising model evolving under Glauber dynamics. We show that a critical magnitude of neare…
An amplitude equation for the conserved-Hopf bifurcation -- derivation, analysis and assessment
Daniel Greve, Uwe Thiele
We employ weakly nonlinear theory to derive an amplitude equation for the conserved-Hopf instability, i.e., a generic large-scale oscillatory instability for systems with two conse…
Gradient dynamics approach to reactive thin-film hydrodynamics
Florian Voss, Uwe Thiele
Wetting and dewetting dynamics of simple and complex liquids is described by kinetic equations in gradient dynamics form that incorporates the various coupled dissipative processes…
Coexistence of uniform and oscillatory states resulting from nonreciprocity and conservation laws
Daniel Greve, Giorgio Lovato, Tobias Frohoff-Hülsmann +1
Employing a two-species Cahn-Hilliard model with nonreciprocal interactions we show that the interplay of nonreciprocity and conservation laws results in the robust coexistence of…
Drops of volatile binary mixtures on brush-covered substrates
Jan Diekmann, Uwe Thiele
We introduce a mesoscopic hydrodynamic model for drops of binary mixtures of volatile partially wetting liquids on brush-covered substrates, i.e., we model the coupled dynamics of…
Drops on polymer brushes -- advances in thin-film modelling of adaptive substrates
Simon Hartmann, Jan Diekmann, Daniel Greve +1
We briefly review recent advances in the hydrodynamic modeling of the dynamics of droplets on adaptive substrates, in particular, solids that are covered by polymer brushes. Thereb…