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Events
Workshop on liquid thin films

MPI für Mathematik in den Naturwissenschaften Leipzig

E1 05 (Leibniz-Saal)

conference

26.08.24 30.08.24

Workshop on liquid thin films

The theme are capillarity-driven interfaces and surfaces in fluids, with a specific focus on their singularities. Phenomena include contact-angle dynamics and the no-slip paradox, film rupture and thermal fluctuation. The goal is to trigger exchange between novel regularity theory, asymptotic modelling, and multi-scale physics.

Speakers

Helmut Abels

University Regensburg

Andrea Bertozzi

University of California, Los Angeles

Gabriele Brüll

Lund University

Peter Constantin

Princeton University
Participation cancelled!

Jens Eggers

University of Bristol, BRISTOL

Julian Fischer

Institute of Science and Technology Austria, Klosterneuburg

Francisco Gancedo

Universidad de Sevilla
Participation cancelled!

Benjamin Gess

MPI MIS Leipzig & Universität Bielefeld

Günther Grün

Friedrich-Alexander-Universität Erlangen-Nürnberg

Hangjie Ji

North Carolina State University, Raleigh

Inwon Kim

UCLA

Herbert Koch

Universität Bonn

Christina Lienstromberg

University of Stuttgart

Juan Jose Lopez Velazquez

University of Bonn

Nader Masmoudi

New York University
Participation cancelled!

Laurel Ohm

University of Wisconsin - Madison, Madison, Wisconsin

Dirk Peschka

Weierstraß-Institut für Angewandte Analysis und Stochastik, Berlin

David Quéré

ESPCI Paris

Howard Stone

Princeton University

Roman Taranets

Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Cherkasy

Ian Tice

Carnegie Mellon University, Pittsburgh, PA

Barbara Wagner

WIAS Berlin
Participation cancelled!

Maria G. Westdickenberg

RWTH Aachen University

Anouk Wisse

TU Delft

Thomas Witelski

Duke University, Durham, North Carolina

Program

10:30 - 11:00	Welcome
11:00 - 11:45	David Quéré (ESPCI Paris) tba
12:00 - 14:00	Lunch Break
14:00 - 14:45	Howard Stone (Princeton University) Two types of thin film flows: (1) Similarity solutions near corners and (2) Soap films with surfactant gradients I will discuss two types of problems involving thin films, one for a film on a planar impermeable substrate and the other for situations involving soap films. First, I will illustrate an experimentally motivated solution of the thin-film equations that involves three independent variables. In particular, we consider a thin film draining along an edge of a vertical plate and report the three-dimensional film shape. Then, we construct an analytical solution of the PDEs involve three independent variables and show it can be reduced to a nonlinear ordinary differential equation, which can be compared with the experimental measurements. Second, for situations such as soap films we consider the thin-film equations with Marangoni effects (surface tension varies along the surface) but allowing for asymmetry, e.g., top to bottom differences. We discuss some aspects of the dynamics and show the coupling to deformation of the centerline (the film bends).
15:00 - 15:30	Coffee Break
15:30 - 16:15	Juan Jose Lopez Velazquez (University of Bonn) tba
16:30 - 17:15	Laurel Ohm (University of Wisconsin - Madison) tba

09:30 - 10:15	Jens Eggers (University of Bristol) tba
10:30 - 11:00	Coffee Break
11:00 - 11:45	Dirk Peschka (Weierstraß-Institut für Angewandte Analysis und Stochastik) tba
12:00 - 14:00	Lunch Break at MPI
14:00 - 14:45	Inwon Kim (UCLA) On the geometry of rate-independent drolpet motion We consider a toy model of rate-independent droplet motion on a surface with contact angle hysteresis, based on the one-phase Bernoulli free boundary problem. Taking advantage of two notions of weak solutions, energy- based and comparison-principle-based, we study the dynamic contact angle of moving contact lines and the geometry of de-pinning.
15:00 - 15:30	Coffee Break
15:30 - 16:15	Gabriele Brüll (Lund University) tba
16:30 - 17:15	Christina Lienstromberg (University of Stuttgart) tba

09:30 - 10:15	Herbert Koch (Universität Bonn) tba
10:30 - 11:00	Coffee Break
11:00 - 11:45	Anouk Wisse (TU Delft) tba
12:00 - 14:00	Lunch Break
14:00 - 14:45	Günther Grün (Friedrich-Alexander-Universität Erlangen-Nürnberg) tba
15:00 - 15:30	Coffee Break
15:30 - 16:15	Julian Fischer (Institute of Science and Technology Austria) tba
16:30 - 17:15	Benjamin Gess (MPI MIS Leipzig & Universität Bielefeld) tba

09:30 - 10:15	Maria G. Westdickenberg (RWTH Aachen University) tba
10:30 - 11:00	Coffee Break
11:00 - 11:45	Roman Taranets (Institute of Applied Mathematics and Mechanics of the NAS of Ukraine) Existence and asymptotic behaviour of solutions for a non-local thin-film equation We prove existence of solutions to a family of fractional thin-film equations in a bounded domain. A non-local operator is given by the spectral fractional Laplacian. In the case of a "strong slippage" regime with "complete wetting" interfacial conditions, we prove local entropy estimates which entails finite speed of propagation of the support and a lower bound for the waiting time phenomenon.
12:00 - 14:00	Lunch Break at MPI
14:00 - 14:45	Thomas Witelski (Duke University) tba
15:00 - 15:30	Coffee Break
15:30 - 16:15	Hangjie Ji (North Carolina State University) tba
16:30 - 17:15	Andrea Bertozzi (University of California, Los Angeles) tba

09:30 - 10:15	Ian Tice (Carnegie Mellon University) tba
10:30 - 11:00	Coffee Break
11:00 - 11:45	Helmut Abels (University Regensburg) tba

Participants

Helmut Abels

University Regensburg

Andrea Bertozzi

University of California, Los Angeles

Gabriele Brüll

Lund University

Mario Bukal

University of Zagreb

Sebastian Bürger

Leipzig University

Zhaodong Ding

University of Bristol

Elias Döhrer

TU Chemnitz

Riccardo Durastanti

University of Naples Federico II

Jens Eggers

University of Bristol

Julian Fischer

Institute of Science and Technology Austria

Mathis Fricke

TU Darmstadt

Benjamin Gess

MPI MIS Leipzig & Universität Bielefeld

Lorenzo Giacomelli

Sapienza Università di Roma

Günther Grün

Friedrich-Alexander-Universität Erlangen-Nürnberg

Rishabh Gvalani

ETH Zurich

Hangjie Ji

North Carolina State University

Juri Joussen

Universität Stuttgart

Konstantin Kalinin

Max Planck Institute for Mathematics in the Sciences

Malte Kampschulte

Universität Leipzig

Inwon Kim

UCLA

Hans Knüpfer

Ruprecht-Karls-Universität Heidelberg

Herbert Koch

Universität Bonn

King Ming Lam

TU Delft

Christina Lienstromberg

University of Stuttgart

Juan Jose Lopez Velazquez

University of Bonn

Katerina Nik

Universität Wien

Laurel Ohm

University of Wisconsin - Madison

Felix Otto

Max Planck Institute for Mathematics in the Sciences

Dirk Peschka

Weierstraß-Institut für Angewandte Analysis und Stochastik

David Quéré

ESPCI Paris

Philipp Reiter

Chemnitz University of Technology

Elena Salguero

Max Planck Institute for Mathematics in the Sciences

Jonas Sauer

Friedrich-Schiller-Universität Jena

Max Sauerbrey

TU Delft

Christian Seis

Universität Münster

Akram Sharif

TU Dresden

Sandeep Kumar Soni

University of Zagreb

Howard Stone

Princeton University

Roman Taranets

Institute of Applied Mathematics and Mechanics of the NAS of Ukraine

Markus Tempelmayr

Universität Münster

Ian Tice

Carnegie Mellon University

Joshua Utley

FAU Erlangen

Giacomo Vianello

Università di Trento

Axel Voigt

TU Dresden

Maria G. Westdickenberg

RWTH Aachen University

Mathias Wilke

Martin-Luther-Universität Halle-Wittenberg

Anouk Wisse

TU Delft

Thomas Witelski

Duke University

Espen Xylander

University Stuttgart

Chengxi Zhao

University of Science and Technology of China

Scientific Organizers

Lorenzo Giacomelli

Sapienza Università di Roma

Hans Knüpfer

Ruprecht-Karls-Universität Heidelberg

Felix Otto

Max Planck Institute for Mathematics in the Sciences

Christian Seis

Universität Münster

Administrative Contact

Katja Heid

Max Planck Institute for Mathematics in the Sciences Contact via Mail