Dr. rer. nat. Dirk Peschka


Phone: +49 (0) 30 20372 443
Fax: +49 (0) 30 2044975

Mohrenstr. 39
10117 Berlin
Germany


Research Group Partial Differential Equations
Member in the Research Center Matheon
Member in the Einstein Center for Mathematics Berlin
Member of the Deutsche Physikalische Gesellschaft DPG

Collaboration

Research interests

  • Modelling and Analysis of Thin Liquid Films
  • Charge Transport in Semiconductors (van Roosbroeck equations)
  • Particle laden flows (suspension flows)
  • Electrochemistry (Nernst-Planck-Poisson-Stokes equations)
  • Stability, Rupture and Dynamics of Free Boundary Problems
  • Applied Mathematics, Asymptotic Expansions, Lubrication Equations
  • Numerics of PDEs and ODEs (FEM, Finite Differences)
  • General Physics

Thesis

Publications

Talks

  • A free boundary problem for the flow of viscous liquid bilayers, ERC Workshop on Modeling Materials and Fluids using Variational Methods, February 22 - 26, 2016, WIAS Berlin, Berlin, February 26, 2016.
  • Mathematical modeling, analysis, and optimization of strained germanium-microbridges, sc Matheon Center Days, April 11 - 12, 2016, Technische Universität Berlin, Institut für Mathematik, Berlin, April 12, 2016.
  • Thin film free boundary problems --- Modeling of contact line dynamics with gradient formulations, CeNoS-Kolloqium, Westfälische Wilhelms-Universität Münster, Center for Nonlinear Science, Münster, January 12, 2016.
  • Towards the optimization of on-chip germanium lasers, sc Matheon Workshop, 9th Annual Meeting ``Photonic Devices'', March 3 - 4, 2016, Zuse Institute Berlin, Berlin, March 4, 2016.
  • tba, 7th European Congress of Mathematics (ECM), July 18 - 22, 2016, Technische Universität Berlin, Berlin.
  • tba, The 19th European Conference on Mathematics for Industry (ECMI 2016), June 13 - 17, 2016, Universidade de Santiago de Compostela, Faculty of Mathematics, Santiago de Compostela, Spain.
  • Droplets on liquids and their long way into equilibrium, Minisymposium ``Recent Progress in Modeling and Simulation of Multiphase Thin-film Type Problems'' of the 8th International Congress on Industrial and Applied Mathematics (ICIAM 2015), August 10 - 14, 2015, International Council for Industrial and Applied Mathematics, Beijing, China, August 12, 2015.
  • Mathematical modeling, analysis, and optimization of strained germanium-microbridges, sc Matheon Center Days, April 20 - 21, 2015, Technische Universität Berlin, Institut für Mathematik, Berlin, April 20, 2015.
  • Modeling and applications of bilayer flows, Seminar of the Research Training Group GRK 1276 ``Structure Formation and Transport in Complex Systems'', Universität des Saarlandes, Institut für Theoretische Physik, Saarbrücken, January 27, 2015.
  • Numerics of contact line motion for thin films, MATHMOD 2015, Minisymposium ``Free Boundary Problems in Applications: Recent Advances in Modelling, Simulation and Optimization'', February 17 - 20, 2015, Technische Universität Wien, Institut für Analysis und Scientific Computing, Wien, Austria, February 19, 2015.
  • Thin-film equations with free boundaries, Jahrestagung der Deutschen Mathematiker-Vereinigung, Minisymposium ``Mathematics of Fluid Interfaces'', September 21 - 25, 2015, Universität Hamburg, Fakultät für Mathematik, Informatik und Naturwissenschaften, Hamburg, September 23, 2015.
  • Gradient formulation of thin-film equations with triple-junctions, Mathematical Approaches to Complex Fluids -- A Two Week Summer School, Cambridge, UK, July 22 - August 2, 2013.
  • Modelling and numerics of thin-films using variational principles, Seminar Thermodynamische Modellierung und Analyse von Phasenübergängen, WIAS, Berlin, December 17, 2013.
  • Dewetting of thin liquid bilayers, 12th International Conference on Free Boundary Problems: Theory and Applications, June 11 - 15, 2012, Frauenchiemsee, June 15, 2012.
  • Liquid/liquid dewetting -- Theory and experiments, Workshop ``Thin Liquid Films and Fluid Interfaces: Models, Experiments and Applications'', December 9 - 14, 2012, Banff International Research Station for Mathematical Innovation and Discovery, Canada, December 10, 2012.
  • Self-similar solutions related to thin film rupture, Berliner Oberseminar Nichtlineare partielle Differentialgleichungen (Langenbach-Seminar), WIAS, Berlin, February 23, 2011.
  • Structure formation in thin liquid films, Workshop on Phase Field Models in Fluid Mechanics, Regensburg, February 14 - 16, 2011.
  • with B. Wagner, Liquid/liquid dewetting - stationary states, International Workshop ``Transport Processes at Fluidic Interfaces - from Experimental to Mathematical Analysis'' DFG-SPP 1506, December 5 - 7, 2011, RWTH Aachen, December 5, 2011.
  • Liquid/liquid dewetting-stationary solutions, Max-Planck-Institut für Mathematik in den Naturwissenschaften, AG Musterbildung, Energielandschaften und Skalierungsgesetze, Leipzig, October 5, 2011.
  • Model reduction for flows of viscous bilayers, Summerschool Partial Differential Equations 2011, September 12 - 16, 2011, Caputh, September 15, 2011.
  • Numerical algorithms and variational formulations for multiphase flows, Seminar Prof. Barbara Wagner, Technische Universität Berlin, Institut für Mathematik, November 24, 2011.
  • Stationary solutions in liquid/liquid dewetting, University of California at Los Angeles, Department of Mathematics, USA, November 9, 2011.
  • Dewetting of viscous bilayers-models and experiments, ICIAM 2011, July 18 - 22, 2011, Vancouver, Canada, July 21, 2011.
  • with B. Wagner, A. Münch, K. Afanasiev, The role of slippage in thin liquid films and droplets on rigid and viscoelastic substrates, Workshop of the DFG Priority Program 1164 ``Nano- and Microfluidics'', Norderney, February 22 - 26, 2010.
  • Dewetting of thin liquid films on viscoelastic substrates, European Coating Symposium, September 7 - 9, 2009, Karlsruhe, September 7, 2009.
  • Self-similar rupture for thin films with slip, EUROMECH Colloquium 497 --- Recent Developments and New Directions in Thin-Film Flow, July 6 - 9, 2009, Royal Society of Edinburgh, UK, July 8, 2009.

Minisymposia

Media

3d hole
Liquid-Liquid Dewetting: Hole growth is driven by surface energies.

3d droplet
Liquid-Liquid Dewetting: Evolution towards the equilibrium state.

2d hole
Liquid-Liquid Dewetting: Hole growth in 2D.