Dr. rer. nat. Dirk Peschka

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

Mohrenstr. 39
10117 Berlin

Weierstrass Group Modeling, Analysis, and Scaling Limits for Bulk-Interface Processes
Member of the Gesellschaft für Angewandte Mathematik und Mechanik
Member of the Deutsche Physikalische Gesellschaft DPG
Member of the Berlin Mathematics Research Center MATH+
Member of the former Research Center Matheon
Member of the former Einstein Center for Mathematics Berlin


  • at WIAS
    Barbara Wagner, Alexander Mielke, Michael Hintermüller, Marita Thomas, Thomas Koprucki, Patricio Farrell, Matthias Liero, Annegret Glitzky, ddfermi group
  • in Berlin/Brandenburg
    Timm John, Hans Vrijmoed (FU Berlin), Matthias Rosenau (GFZ Potsdam), Giovanni Capellini (IHP Frankfurt Oder), Thomas Schroeder (IKZ Berlin)
  • External
    Andrea Bertozzi (Los Angeles, US), Luca Heltai (Trieste, IT), Ralf Seemann, Karin Jacobs (Saarbrücken, Ger), Andreas Münch, Georgy Kitavtsev (Oxford, UK), Thomas Surowiec (Marburg, Ger), Michele Virgilio (Pisa, IT), Manuel Gnann (Delft, NL), Lorenzo Giacomelli (Rome, IT), Nella Rotundo (Florence, IT)
  • Previous Projects
    Ernst Höschele, Konstantin Afanasiev, Konstantina Kostourou, Maciek Korzec, Robert Huth, Sebastian Jachalski, Stefan Bommer, Benoit Pausader, Nebo Murisic, Li Wang, Lukas Adam.


  • Service lecture: "Numerische Mathematik II f\"ur Ingenieure" Winter 2013/2014.
  • Service lecture: "Numerische Mathematik II f\"ur Ingenieure" Winter 2019/2020 (link / password on request).
  • Lecture: "Numerical Methods for Fluid Flows" Summer 2019. (link / password on request)
  • Semester program "Energy-based mathematical methods ..." Winter 2020/2021.
  • Currently advise/co-advise Ph.D.: Andrea Zafferi, Leonie Schmeller.
  • Currently advise master: Belal M.M. Dawwas, Marc Graham.
  • Previously advised/co-advised: Sebastian Jachalski (Ph.D.), Tobias Ahnert (Ph.D.)

Research interests

The overarching theme is Modeling, Simulation and Optimization. Particular topics are:
  • Modelling and Analysis of Thin Liquid Films
  • Optoelectronics and Optimization of Electronic Devices
  • Charge Transport in Semiconductors and Heterojunctions (van Roosbroeck equations)
  • Numerics of PDEs and ODEs (FEM, Finite Differences)
  • 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
  • General Physics, Applied Analysis



[1] D. Peschka and M. Rosenau. Two-phase flows for sedimentation of suspensions. WIAS Preprint 2743, pages 1--19, 2020.

[2] L. Adam, M. Hintermüller, D. Peschka, and T.M. Surowiec. Optimization of a multiphysics problem in semiconductor laser design. SIAM Journal on Applied Mathematics, 79(1):257--283, 2019.

[3] P. Farrell and D. Peschka. Nonlinear diffusion, boundary layers and nonsmoothness: Analysis of challenges in drift--diffusion semiconductor simulations. Computers & Mathematics with Applications, 78(12):3731--3747, 2019.

[4] D. Peschka, M. Thomas, T. Ahnert, A. Münch, and B. Wagner. Gradient structures for flows of concentrated suspensions. In Topics in Applied Analysis and Optimisation, pages 295--318. Springer, 2019.

[5] D. Peschka, S. Haefner, L. Marquant, K. Jacobs, A. Münch, and B. Wagner. Signatures of slip in dewetting polymer films. Proceedings of the National Academy of Sciences, 116(19):9275--9284, 2019.

[6] D. Peschka, S. Bommer, S. Jachalski, R. Seemann, and B. Wagner. Impact of energy dissipation on interface shapes and on rates for dewetting from liquid substrates. Scientific Reports, 8(1):13295, 2018.

[7] D. Peschka. Variational approach to contact line dynamics for thin films. Physics of Fluids, 30(8):082115, 2018.

[8] D. Peschka, N. Rotundo, and M. Thomas. Doping optimization for optoelectronic devices. Optical and Quantum Electronics, 50(3):125, 2018.

[9] S. Jachalski, D. Peschka, S. Bommer, R. Seemann, and B. Wagner. Structure formation in thin liquid-liquid films. In Transport Processes at Fluidic Interfaces, pages 531--574. Springer, 2017.

[10] D. Peschka, N. Rotundo, and M. Thomas. Towards doping optimization of semiconductor lasers. Journal of Computational and Theoretical Transport, 45(5):410--423, 2016.

[11] D. Peschka, M. Thomas, A. Glitzky, R. Nürnberg, M. Virgilio, S. Guha, T. Schroeder, G. Capellini, and T. Koprucki. Robustness analysis of a device concept for edge-emitting lasers based on strained germanium. Optical and Quantum Electronics, 48(2):156, 2016.

[12] A. Mielke, D. Peschka, N. Rotundo, and M. Thomas. On Some Extension of Energy-Drift-Diffusion Models: Gradient Structure for Optoelectronic Models of Semiconductors. In European Consortium for Mathematics in Industry, volume 26, pages 291--298. Springer, 2016.

[13] D. Peschka, M. Thomas, A. Glitzky, R. Nürnberg, K. Gärtner, M. Virgilio, S. Guha, Th. Schroeder, G. Capellini, and Th. Koprucki. Modeling of edge-emitting lasers based on tensile strained germanium microstrips. IEEE Photonics Journal, 7(3):1--15, 2015.

[14] R. Huth, S. Jachalski, G. Kitavtsev, and D. Peschka. Gradient flow perspective on thin-film bilayer flows. Journal of Engineering Mathematics, 94(1):43--61, 2015.

[15] D. Peschka. Thin-film free boundary problems for partial wetting. Journal of Computational Physics, 295:770--778, 2015.

[16] G. Capellini, M. Virgilio, Y. Yamamoto, L. Zimmermann, B. Tillack, D. Peschka, M. Thomas, A. Glitzky, R. Nürnberg, K. Gärtner, et al. Modeling of an Edge-Emitting strained-Ge laser. In Advanced Solid State Lasers, pages ATu2A--19. Optical Society of America, 2015.

[17] D. Peschka. Numerics of contact line motion for thin films. IFAC-PapersOnLine, 48(1):390--393, 2015.

[18] S. Jachalski, D. Peschka, A. Münch, and B. Wagner. Impact of interfacial slip on the stability of liquid two-layer polymer films. Journal of Engineering Mathematics, 86(1):9--29, 2014.

[19] S. Jachalski, R. Huth, G. Kitavtsev, D. Peschka, and B. Wagner. Stationary solutions of liquid two-layer thin-film models. SIAM Journal on Applied Mathematics, 73(3):1183--1202, 2013.

[20] S. Bommer, F. Cartellier, S. Jachalski, D. Peschka, R. Seemann, and B. Wagner. Droplets on liquids and their journey into equilibrium. The European Physical Journal E, 36(8):87, 2013.

[21] N. Murisic, B. Pausader, D. Peschka, and A.L. Bertozzi. Dynamics of particle settling and resuspension in viscous liquid films. Journal of Fluid Mechanics, 717:203--231, 2013.

[22] J. Schmidt, R. Prignitz, D. Peschka, A. Münch, B. Wagner, E. Bänsch, and W. Peukert. Conductivity in nonpolar media: Experimental and numerical studies on sodium AOT--hexadecane, lecithin--hexadecane and aluminum (III)-3, 5-diisopropyl salicylate--hexadecane systems. Journal of Colloid and Interface Science, 386(1):240--251, 2012.

[23] K. Kostourou, D. Peschka, A. Münch, B. Wagner, S. Herminghaus, and R. Seemann. Interface morphologies in liquid/liquid dewetting. Chemical Engineering and Processing: Process Intensification, 50(5-6):531--536, 2011.

[24] D. Peschka, A. Münch, and B. Niethammer. Thin-film rupture for large slip. Journal of Engineering Mathematics, 66(1-3):33--51, 2010.

[25] D. Peschka, A. Münch, and B. Niethammer. Self-similar rupture of viscous thin films in the strong-slip regime. Nonlinearity, 23(2):409, 2010.

[26] F. Bruckmann, E.M. Ilgenfritz, B.V. Martemyanov, M. Müller-Preussker, D. Nógrádi, D. Peschka, and P. van Baal. Calorons with non-trivial holonomy on and off the lattice. Nuclear Physics B (Proc. Suppl.), 140:635--646, 2005.

[27] E.M. Ilgenfritz, M. Müller-Preussker, and D. Peschka. Calorons in SU(3) lattice gauge theory. Physical Review D, 71(11):116003, 2005.

[28] C. Gattringer, E.M. Ilgenfritz, B.V. Martemyanov, M. Müller-Preussker, D. Peschka, R. Pullirsch, S. Schaefer, and A. Schäfer. Searching for KvBLL calorons in SU(3) lattice gauge field ensembles. Nuclear Physics B (Proc. Suppl.), (129-130):653--658, 2004.


    • D Peschka. Variational modeling of bulk and interface effects in fluid dynamics. In SPP 2171 Advanced School “Introduction to Wetting Dynamics”, 02/17/2020 - 02/21/2020, Westfälische Wilhelms-Universität Münster, 2020.

    • D Peschka. Mathematical modeling and simulation of flows and the interaction with a substrate using energetic variational methods. In Vortrag im Rahmen des SFB1194, Technische Universität Darmstadt, 2020.

    • D Peschka. “Numerical methods for charge transport in semiconductors: FEM vs FV". In 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019), 07/15/2019 - 07/19/2019, Valencia, Spain, 2019.

    • D Peschka. Mathematical modeling of fluid flows using gradient systems. In Seminar in PDE and Applications, Delft University of Technology, Netherlands, 2019.

    • D Peschka. Mathematical modeling and simulation of substrate-flow interaction using generalized gradient flow, 2019.

    • D Peschka. Gradient structures for flows of concentrated suspensions - jamming and free boundaries. In 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2019), Section S11 “Interfacial Flows", 02/18/2019 - 02/22/2019, Technische Universität Wien, Austria, 2019.

    • D Peschka. Gradient formulations with flow maps -- Mathematical and numerical approaches to free boundary problems. In Kolloquium des Graduiertenkollegs 2339 “Interfaces, Complex Structures, and Singular Limits”, Universität Regensburg, 2019.

    • D Peschka. Poster: Dynamic contact angles via gradient flows. https://www.we-heraeus-stiftung.de/fileadmin/Redaktion/PDF/Seminare/2019/694_Booklet.pdf, 2019.

    • D Peschka. Dynamic contact angles via generalized gradient flows. In Modelling of Thin Liquid Films -- Asymptotic Approach vs. Gradient Dynamics, 04/28/2019 - 05/03/2019, Banff International Research Station for Mathematical Information and Discovery, Canada, 2019.

    • Mohammad Hassan Farshbaf Shaker, D Peschka, and Marita Thomas. Poster: Modeling and analysis of suspension flows, 2019.

    • Mohammad Hassan Farshbaf Shaker, D Peschka, and Marita Thomas. Poster: Modeling and analysis of suspension flows, 2019.

    • D Peschka. Topics for the SPP 2171: Variational modeling for fluid flows on substrates with dissipation. In Dynamic Wetting of Flexible Adaptive and Switchable Surfaces, 05/17/2018 - 05/18/2018, University of Münster, Center for Nonlinear Science, 2018.

    • D Peschka. Steering pattern formation during dewetting with interface and contact lines properties. In The 20th European Conference on Mathematics for Industry, ECMI Special Interest Group “Material Design and Performance in Sustainable Energies", 06/18/2018 - 06/22/2018, Budapest, Hungary, 2018.

    • D Peschka. Droplet and satellite droplet shedding in dewetting polymer films. In 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2018), Section S11 “Interfacial Flows”, 03/19/2018 - 03/23/2018, Technische Universität München, 2018.

    • Marita Thomas, D Peschka, Barbara Wagner, Volker Mehrmann, and Matthias Rosenau. Modeling and analysis of suspension flows. In MATH+ Center Days 2018, 10/31/2018 - 11/02/2018, number 2, Zuse-Institut Berlin (ZIB), Berlin, 2018.

    • Patricio Farrell and D Peschka. Poster: Challenges for drift-diffusion simulations of semiconductors: A comparative study of different discretization philosophies, 2018.

    • D Peschka. Variational structure of viscous flows with contact line motion. In Seminar Numerical Mathematics, WIAS RG 3, 2017.

    • D Peschka. Variational structure of fluid motion with contact lines in thin-film models. In Kolloquium Angewandte Mathematik, Universität der Bundeswehr, München, 2017.

    • D Peschka. Motion of thin droplets over surfaces. In Making a Splash -- Driplets, Jets and Other Singularities, 03/20/2017 - 03/24/2017, Brown University, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, USA, 2017.

    • D Peschka. Modelling and simulation of suspension flow. In Graduate Seminar PDE in the Sciences, Universität Bonn, Institut für Angewandte Mathematik, 2017.

    • D Peschka. Mathematical and numerical approaches to moving contact lines. In Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy, 2017.

    • D Peschka. Doping optimization for optoelectronic devices. In Numerical Simulation of Optoelectronic Devices (NUSOD 2017), 07/27/2017 - 07/28/2017, Technical University, Lyngby Campus, Kopenhagen, Denmark, 2017.

    • D Peschka. Towards the optimization of on-chip germanium lasers. In Matheon Workshop, 9th Annual Meeting “Photonic Devices”, 03/03/2016 - 03/04/2016, Zuse Institute Berlin, Berlin, 2016.

    • D Peschka. Towards the optimization of Ge micro bridges. In The 19th European Conference on Mathematics for Industry (ECMI 2016), minisymposium “Charge Transport in Semiconductor Materials: Emerging and Established Mathematical Topics”, 06/13/2016 - 06/17/2016, Universidade de Santiago de Compostela, Faculty of Mathematics, Santiago de Compostela, Spain, 2016.

    • D Peschka. Thin film free boundary problems --- Modeling of contact line dynamics with gradient formulations. In CeNoS-Kolloquium, Westfälische Wilhelms-Universität Münster, Center for Nonlinear Science, 2016.

    • D Peschka. Scientific computing and applied mathematics for optoelectronics and soft matter problems. In Universiteit Twente, Departement of Mathematics, Enschede, Netherlands, 2016.

    • D Peschka. Multi-phase flows with contact lines: Solid vs liquid substrates. In Industrial and Applied Mathematics Seminar, University of Oxford, Mathematical Institute, UK, 2016.

    • D Peschka. Mathematical modeling, analysis, and optimization of strained germanium-microbridges. In Matheon Center Days, 04/11/2016 - 04/12/2016, Technische Universität Berlin, Institut für Mathematik, Berlin, 2016.

    • D Peschka. A free boundary problem for the motion of viscous liquids. In 7th European Congress of Mathematics (7ECM), Minisymposium 29 “Nonsmooth PDEs in the Modeling Damage, Delamination, and Fracture”, 07/18/2016 - 07/22/2016, Technische Universität Berlin, 2016.

    • D Peschka. A free boundary problem for the flow of viscous liquid bilayers. In ERC Workshop on Modeling Materials and Fluids using Variational Methods, 02/22/2016 - 02/26/2016, WIAS Berlin, Berlin, 2016.

    • D Peschka. Thin-film equations with free boundaries. In Jahrestagung der Deutschen Mathematiker-Vereinigung, Minisymposium “Mathematics of Fluid Interfaces”, 09/21/2015 - 09/25/2015, Universität Hamburg, Fakultät für Mathematik, Informatik und Naturwissenschaften, Hamburg, 2015.

    • D Peschka. Numerics of contact line motion for thin films. In MATHMOD 2015, Minisymposium “Free Boundary Problems in Applications: Recent Advances in Modelling, Simulation and Optimization”, 02/17/2015 - 02/20/2015, Technische Universität Wien, Institut für Analysis und Scientific Computing, Wien, Austria, 2015.

    • D Peschka. Modeling and applications of bilayer flows. In Seminar of the Research Training Group GRK 1276 “Structure Formation and Transport in Complex Systems”, Universität des Saarlandes, Institut für Theoretische Physik, Saarbrücken, 2015.

    • D Peschka. Mathematical modeling, analysis, and optimization of strained germanium-microbridges. In Matheon Center Days, 04/20/2015 - 04/21/2015, Technische Universität Berlin, Institut für Mathematik, Berlin, 2015.

    • D Peschka. Droplets on liquids and their long way into equilibrium. In 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), 08/10/2015 - 08/14/2015, International Council for Industrial and Applied Mathematics, Beijing, China, 2015.

    • D Peschka. Modelling and numerics of thin-films using variational principles. In Seminar Thermodynamische Modellierung und Analyse von Phasenübergängen, WIAS, Berlin, 2013.

    • D Peschka. Gradient formulation of thin-film equations with triple-junctions. In Mathematical Approaches to Complex Fluids -- A Two Week Summer School, Cambridge, UK, 07/22/2013 - 08/02/2013, 2013.

    • D Peschka. Liquid/liquid dewetting -- Theory and experiments. In Workshop “Thin Liquid Films and Fluid Interfaces: Models, Experiments and Applications”, 12/09/2012 - 12/14/2012, Banff International Research Station for Mathematical Innovation and Discovery, Canada, 2012.

    • D Peschka. Dewetting of thin liquid bilayers. In 12th International Conference on Free Boundary Problems: Theory and Applications, 06/11/2012 - 06/15/2012, Frauenchiemsee, 2012.

    • Sebastian Jachalski, Maciek Korzec, D Peschka, and Barbara Wagner. Modelling, asymptotic analysis and numerical simulation of the dynamics of thin film nanostructure. In Fachtagung Leibniz-Nano (1. Nanotechnologie-Workshop der Leibniz-Gemeinschaft), Berlin, 01/30/2012 - 01/31/2012, 2012.

    • D Peschka. Dewetting of viscous bilayers-models and experiments. In ICIAM 2011, 07/18/2011 - 07/22/2011, Vancouver, Canada, 2011.

    • D Peschka. Stationary solutions in liquid/liquid dewetting. In University of California at Los Angeles, Department of Mathematics, USA, 2011.

    • D Peschka. Numerical algorithms and variational formulations for multiphase flows. In Seminar Prof. Barbara Wagner, Technische Universität Berlin, Institut für Mathematik, 2011.

    • D Peschka. Model reduction for flows of viscous bilayers. In Summerschool Partial Differential Equations 2011, 09/12/2011 - 09/16/2011, Caputh, 2011.

    • D Peschka. Liquid/liquid dewetting-stationary solutions. In Max-Planck-Institut für Mathematik in den Naturwissenschaften, AG Musterbildung, Energielandschaften und Skalierungsgesetze, Leipzig, 2011.

    • D Peschka and Barbara Wagner. Liquid/liquid dewetting - stationary states. In International Workshop “Transport Processes at Fluidic Interfaces - from Experimental to Mathematical Analysis” DFG-SPP 1506, 12/05/2011 - 12/07/2011, RWTH Aachen, 2011.

    • D Peschka. Structure formation in thin liquid films. In Workshop on Phase Field Models in Fluid Mechanics, Regensburg, 02/14/2011 - 02/16/2011, 2011.

    • D Peschka. Self-similar solutions related to thin film rupture. In Berliner Oberseminar Nichtlineare partielle Differentialgleichungen (Langenbach-Seminar), WIAS, Berlin, 2011.

    • Barbara Wagner, Andreas Münch, Konstantin Afanasiev, and D Peschka. The role of slippage in thin liquid films and droplets on rigid and viscoelastic substrates. In Workshop of the DFG Priority Program 1164 “Nano- & Microfluidics”, Norderney, 02/22/2010 - 02/26/2010, 2010.

    • D Peschka. Self-similar rupture for thin films with slip. In EUROMECH Colloquium 497 --- Recent Developments and New Directions in Thin-Film Flow, 07/06/2009 - 07/09/2009, Royal Society of Edinburgh, UK, 2009.

    • D Peschka. Dewetting of thin liquid films on viscoelastic substrates. In European Coating Symposium, 09/07/2009 - 09/09/2009, Karlsruhe, 2009.

    • D Peschka. Literature study to “Printer's instability”. In Poing, 2008.