Conveners
Hydrodynamic Models with Moving Contact Lines: MS-6-1
- Lorenzo Giacomelli (Sapienza University of Rome)
- Hans Knüpfer (University of Heidelberg)
- Dirk Peschka (Weierstrass-Institut für Angewandte Analysis und Stochastik)
Hydrodynamic Models with Moving Contact Lines: MS-6-2
- Lorenzo Giacomelli (Sapienza University of Rome)
- Dirk Peschka (Weierstrass-Institut für Angewandte Analysis und Stochastik)
- Hans Knüpfer (University of Heidelberg)
Description
Organisers: Hans Knüpfer, Lorenzo Giacomelli, Dirk Peschka
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Dieter Bothe09/09/2026, 10:30Hydrodynamic Models with Moving Contact Lines
Dynamic wetting poses a fundamental modeling challenge because the motion of a material contact line requires slip at the solid wall and a consistent coupling between contact-line kinematics, wall stresses, and the dynamic contact angle. After briefly reviewing these modeling constraints, we present the contact-region generalized Navier boundary condition (CR-GNBC). The model replaces the...
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Christina Lienstromberg (University of Stuttgart)09/09/2026, 11:00Hydrodynamic Models with Moving Contact Lines
We study the dynamic behaviour of a thin viscous fluid film coating the inner wall of a rotating cylinder -- a so-called rimming flow.
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The resulting equation for the height of the fluid film is a quasilinear, degenerate parabolic PDE of fourth order.
Various competing effects drive the dynamics of the interface -- viscosity, surface tension and gravity.
For a positive surface tension... -
Katerina Nik (KAUST)09/09/2026, 11:30Hydrodynamic Models with Moving Contact Lines
We consider a power-law thin-film equation describing the evolution of a strongly shear-thinning viscous film in the partial-wetting regime, where the free boundary separating the wetted from the dry region - the contact line - is allowed to move. For flow-behavior exponent $\alpha > 2$, we prove existence and asymptotic stability of strong solutions that are sufficiently small perturbations...
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Georgy Kitavtsev (Middle East Technical University, Nothern Cyprus Campus)09/09/2026, 12:00Hydrodynamic Models with Moving Contact Lines
In this talk, we consider the nonlinear system of coupled degenerate PDEs describing evolution of the free surface of a viscous thin liquid sheet. We show that in the associated Lagrangian coordinates the system transforms to the singular diffusion porous medium type equation equipped with the non-homogeneous in space and time source term having zero mean.
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In the regime of vanishing sheet... -
Dr Dirk Peschka (Weierstrass-Institut für Angewandte Analysis und Stochastik)09/09/2026, 14:00Hydrodynamic Models with Moving Contact Lines
Let us consider the evolution of a fluid (droplet) domain
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\begin{align}
\Omega(t)=\lbrace(x,z)\in\mathbb{R}^{d+1}:0<z<h(t,x)\rbrace,
\end{align}
described by a non-negative function $h(t):\mathbb{R}^d\to\mathbb{R}$ with support $\omega(t)=\lbrace x\in\mathbb{R}^d:h(t,x)>0\rbrace$. The associated surface energy, including gravity, is given by
\begin{align}
\mathscr{E}(h)=\int_\omega... -
Yuchuan Yang (University of Michigan)09/09/2026, 14:30Hydrodynamic Models with Moving Contact Lines
In recent years, newly available experimental measurements of grain boundary motion in polycrystalline materials challenge the assumption of the Herring angle condition at triple junctions (a well-known force balance condition). One of the proposed explanations for the discrepancy between these experimental data and the traditional model is the presence of triple junction drag. In this talk, I...
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Benjamin Gess (TU Berlin & MPI MiS Leipzig)09/09/2026, 15:00Hydrodynamic Models with Moving Contact Lines
We begin by informally demonstrating how the gradient flow structure of the deterministic thin film equation, which encodes the balance between driving capillary forces and limiting viscous forces, can be used as a foundation for the thermodynamically consistent introduction of fluctuations. This approach is then pursued at the level of a spatial discretization of the gradient flow structure,...
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Robert Nürnberg09/09/2026, 15:30Hydrodynamic Models with Moving Contact Lines
We present and analyze a variational front-tracking method for a sharp-interface model of multiphase flow. The fluid interfaces between different phases are represented by curve networks in two space dimensions (2d) or surface clusters in three space dimensions (3d) with triple junctions where three interfaces meet, and boundary points/lines where an interface meets a fixed planar boundary....
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