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Seminar "Dünne Schichten", Wintersemester 2012/13

Organisation
Koordination:
Prof. Dr. Barbara Wagner
Termine:
Do, 12-14 Uhr in MA 542
Inhalt:
Vorträge von Gästen, Mitarbeitern und Studenten zu dünnen Schichten und anderen Themen der asymptotischen Analysis
Termine
Datum
Uhrzeit
Raum
Vortragende(r)
Titel
25.10.12
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verschoben auf 31.10.12
31.10.12
12:15 - 15:30 Uhr
MA 645
Tobias Ahnert (TU Berlin)
Drying Front Ansatz with Ajaev-type Model and GPU Acceleration for Matlab/Octave
06.11.12
12:00 Uhr (s.t.!)
MA 545
mehrere Kurzvorträge
Themen aus dem Bereich der Asymptotik
15.11.12
12:00 Uhr
MA 542
Prof. Barbara Wagner (TU Berlin)
Stabilitätsanalyse
22.11.12
12:00 Uhr
MA 542
Sebastian Jachalski (WIAS)
Weak solutions to lubrication systems describing the evolution of bilayer thin films
29.11.12
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verschoben auf 06.12.12
06.12.12
12:00 Uhr
MA 542
Dr. Dirk
Peschka (WIAS)
Liquid/liquid dewetting - theory and experiments
06.12.12
12:00 Uhr
MA 542
Dr. Andreas Münch (University of Oxford)
Organic Solar Cell Fabrication
13.12.12
12:00 - 15:00 Uhr
MA 542
Julia Wind (Universität Wien), anschließend Kurzvorträge
Mathematical Modeling of Ion Sputtering Dynamics
10.01.13
12:00 Uhr
MA 542
Dr. Maciek Korzec (TU Berlin)
Well-posedness for the Allen-Cahn equation with a standard Galerkin approach
17.01.13
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verschoben auf 13.12.12
21.01.13
14:00 Uhr
MA 645
Prof. Dr. Uwe Thiele (University of Loughborough)
Thin film evolution equations for complex fluids - extensions based on
a gradient dynamics formulation
24.01.13
12:00 Uhr
MA 542
Marion Dziwnik (TU Berlin)
Lineare Stabilität einer Dünnfilmgleichung
31.01.13
12:00 Uhr
MA 542
Laura Espriu
(TU Berlin)
The Cahn-Hilliard equation
07.02.13
12:00 Uhr
MA 542
Simon Rothmeier
Dünne Filme auf einer geneigten Fläche
14.02.13
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verschoben auf 21.01.13

Abstracts

Prof. Dr. Uwe Thiele
Dept. of Mathematics
University of Loughborough, UK

Title:

Thin film evolution equations for complex fluids - extensions based on a gradient dynamics formulation

Abstract:

After reviewing a number of recent experiments [1] on evaporating and dewetting thin films of suspensions and solutions, we propose a way to construct dynamical models for liquid films of suspensions and solutions, as well as for films covered by insoluble surfactants. First, however, we review film thickness evolution equations for single layers of fluid in their gradient dynamics form, mentioning in passing that such a form is valuable to detect problems in the derivation of thin film equations as in the case of nematic liquid crystals [2]. Subsequently the first example for coupled evolution equations is given using a two-layer film as example.

Then we briefly review the `classical' hydrodynamic form of the coupled evolution equations for the film height and (solute or surfactant) concentration that are well established for small concentrations; and mention recent results on line deposition from evaporating suspensions [3]. We re-formulate both basic hydrodynamic models as a gradient dynamics based on an underlying free energy functional that accounts for wettability and capillarity of the solvent. Based on this mere re-formulation in the framework of nonequilibrium thermodynamics, we propose extensions of the basic hydrodynamic models that may account for (i) surfactant- or solute-dependent wettability, and (ii) surfactant or solute phase transitions [4,5]. Other possibilities are mentioned and examples are sketched for (i) and (ii).

[1] for a small review see: U. Thiele et al., J. Phys.-Cond. Mat. 21, 264016 (2009).
[2] T.-S. Lin et al., submitted (2013).
[3] L. Frastia, A. J. Archer, U. Thiele, Phys. Rev. Lett. 106, 077801 (2011); Soft Matter 8, 11363-11386 (2012).
[4] U. Thiele, Eur. Phys. J. Special Topics, 197, 213-220 (2011).
[5] U. Thiele, A. J. Archer and M. Plapp, Phys. Fluids 24, 102107 (2012).

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