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of 109
pro vyhledávání: '"Peschka, Dirk"'
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 equations, where we explicitly discuss the case of a stationary force balan
Externí odkaz:
http://arxiv.org/abs/2401.03911
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-time asymptotics of solutions in the perfect wetting regime. In particu
Externí odkaz:
http://arxiv.org/abs/2302.03005
Autor:
Schmeller, Leonie, Peschka, Dirk
Publikováno v:
Multiscale Model. Simul., 22 (2), 869--890, 2024
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 phase-field models converge to certain sharp-interface limits when the int
Externí odkaz:
http://arxiv.org/abs/2301.04968
The molecular structure of moving contact lines (MCLs) and the emergence of a corresponding macroscopic dissipation have made the MCL a paradigm of fluid dynamics. Through novel averaging techniques that remove capillary waves smearing we achieve an
Externí odkaz:
http://arxiv.org/abs/2211.00406
Autor:
Peschka, Dirk, Heltai, Luca
We present a mathematical and numerical framework for thin-film fluid flows over planar surfaces including dynamic contact angles. In particular, we provide algorithmic details and an implementation of higher-order spatial and temporal discretisation
Externí odkaz:
http://arxiv.org/abs/2110.06862
Autor:
Peschka, Dirk
This paper investigates a variational approach to viscous flows with contact line dynamics based on energy-dissipation modeling. The corresponding model is reduced to a thin-film equation and its variational structure is also constructed and discusse
Externí odkaz:
http://arxiv.org/abs/1801.10577
We revisit the fundamental problem of liquid-liquid dewetting and perform a detailed comparison of theoretical predictions based on thin-film models with experimental measurements obtained by atomic force microscopy (AFM). Specifically, we consider t
Externí odkaz:
http://arxiv.org/abs/1712.08988
Autor:
Peschka, Dirk, Heltai, Luca
Publikováno v:
In Journal of Computational Physics 1 September 2022 464
Autor:
Peschka, Dirk
In der vorliegenden Arbeit wird das Entstehen von Singularitäten an Oberflächen von dünnen Flüssigkeitsfilmen studiert. Unter einer Singularität versteht man hier das plötzliche Aufreißen einer Flüssigkeitsoberfläche an einer Stelle. Nach ei
Externí odkaz:
http://edoc.hu-berlin.de/18452/16575
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