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 of the Deutsche Physikalische Gesellschaft DPG
Member of the Berlin Mathematical School BMS

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.