I am currently a Post-Doc researcher at the Institute for applied mathematics at University of Münster, Germany.

My research interests are inverse Problems of non-linear PDEs, parameter identification problems, socio-economic PDE models (especially crowd motion), finite element methods, long time behaviour of non-linear Fokker-Planck equatations


Recent work

  1. H. Egger, J.-F. Pietschmann, M. Schlottbom, On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms, submitted, 2017.
  2. H. Egger, K. Fellner, J.-F. Pietschmann, B. Q. Tang, A finite element method for volume-surface reaction-diffusion systems, Preprint IGDK-2015-26, TU Munich. (preprint), 2015.

In peer-reviewed journals

  1. J. Berendsen, M. Burger, J.-F. Pietschmann, On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion, to appear in Journal of Nonlinear Analysis - A, Preprint (arXiv), 2017
  2. B. Matejczyk, M. Valisko, M.-T. Wolfram, J.-F. Pietschmann, D. Boda, Multiscale modeling of a rectifying bipolar nanopore: Comparing Poisson-Nernst-Planck to Monte Carlo, to appear in JCP, 2017 (arXiv)
  3. M. Burger, J.-F. Pietschmann, Flow Characteristics in a Crowded Transport Model.Nonlinearity, 29 3528, 2016 (doi:10.1088/0951-7715/29/11/3528, arXiv)
  4. H. Egger, J.-F. Pietschmann, M. Schlottbom, Identification of Chemotaxis Models with Volume Filling. SIAM J. Appl. Math., Vol. 75, Issue 2, pp. 275 - 288, 2015 (doi: 10.1137/140967222, arxiv)
  5. H. Egger, J.-F. Pietschmann, M. Schlottbom, Identification of nonlinear heat conduction laws Journal of Inverse and Ill-Posed Problems. (doi: 10.1515/jiip-2014-0030, arxiv)
  6. G. Trevor, K. Decker, T. Plett, M. Pevarnik, J.-F. Pietschmann, I. Vlassiouk, A. Aksimentiev, Z. Siwy. Rectification of Ion Current in Nanopores Depends on the Type of Monovalent Cations Experiments and Modeling, Journal of Physical Chemistry Part C, 118(18):9809–9819, 2014. (published version)
  7. H. Egger, J.-F. Pietschmann, M. Schlottbom, Numerical identification of a nonlinear diffusion law via regularization in Hilbert scales, inverse problems 30(2):025004, 2014, (Arxiv, published version)
  8. H. Egger, J.-F. Pietschmann, M. Schlottbom, Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem, inverse problems 30(3):035009, 2014, (Arxiv, published version)
  9. J.-F. Pietschmann, M.-T. Wolfram, M. Burger, C. Trautmann, V. Bayer, G. Nguyen, M. Pevarnik, Z. Siwy, Rectification properties of conically shaped nanopores: consequences of miniaturization, Phys. Chem. Chem. Phys., 15:16917-16926, 2013 (Arxiv, published version)
  10. M. Burger, J.-F. Pietschmann, M.-T. Wolfram, Identification of non-linearities in transport-diffusion models of crowded motion, Inverse Problems and Imaging 7(4) 2013, (preprint, published version)
  11. L.A. Caffarelli, P.A. Markowich, J.-F. Pietschmann, On a price formation free boundary model by Lasry & Lions, C. R. Acad. Sci. Paris, Ser. I, Volume 349, Issues 11-12, 2011(preprint, published version)
  12. M. Burger, P.A. Markowich, J.F. Pietschmann, Continuous Limit of a Crowd Motion and Herding Model: Analysis and Numerical Simulations,Kinetic and Related Modells, Volume 4, Issue 4, 2011, (preprint, published version)
  13. M. Di Francesco, P.A. Markowich, J.F. Pietschmann, M.T. Wolfram, On the Hughes' model of pedestrian flow: The one-dimensional case, J. Diff. Eq. Volume 250, Issue 3, 1 pp. 1334-1362, 2011 (preprint, published version)
  14. M. Burger, M. Di Francesco, J.-F. Pietschmann and B. Schlake, Nonlinear Cross-Diffusion with Size Exclusion, 2010, SIAM J. Math. Anal. Volume 42, Issue 6, pp. 2842-2871, 2010 (preprint, published version)
  15. B. Düring, P.A. Markowich, J.-F. Pietschmann, M.-T. Wolfram, Boltzmann and Fokker-Planck Equations modelling Opinion Formation in the Presence of Strong Leaders, Proc. Royal Soc. A., 465(2112), p. 3687-3708, 2009, (preprint, published version)
  16. P.A. Markowich, N. Matevosyan, J.-F. Pietschmann, M.-T. Wolfram, On a parabolic free boundary equation modeling price formation, Math. Models Methods Appl. Sci., 11(19), 1929-1957, 2009, (preprint, published version)

Conference Proceedings and Book Chapters

  1. B. Schlake, J.-F. Pietschmann Lane Formation in a Microscopic Model and the corresponding Partial Differential Equation, 1st IEEE Workshop on Modeling, Simulation and Visual Analysis of Large Crowds, Barcelona (preprint)
  2. J.-F. Pietschmann The connection between microscopic and macroscopic models for pedestrian movement with applications to lane formation. To appear in: Modeling, Simulation, and Visual Analysis of Large Crowds, Springer Verlag.


  1. J.-F. Pietschmann On Some Partial Differential Equation Models in Socio-Economic Contexts - Analysis and Numerical Simulations, Ph.D. thesis, University of Cambridge, 2011, pdf


  • Inverse Problems for Drift-Diffusion Equations with Applications to Chemotaxis and Synthetic Nanopores, DFG Einzelantrag ("eigene Stelle"), 2015-2017
  • PostDoc stipend, Daimler und Benz Stiftung, 2013-2016
  • New mathematical models and methods for a better understanding of synthetic nanopores, DAAD travel funding with Z. Siwy (UC Irvine), 2012-2015
  • Forward and Inverse Problems in Non-Linear Drift-Diffusion, DFG Einzelantrag ("eigene Stelle"), 2012-2015


WS 2016/17 Seminar on homogenization, together with Prof. C. Zeppieri, WWU Münster
SS 2015 Teaching assistant: Introduction to partial differential equations (Lecturer: Prof. Dr. Dieter Bothe). TU Darmstadt
SS 2014 Lecture: Computational Inverse Problems, with M. Schlottbom. TU Darmstadt, lecture notes
28.6-1.7. 2012 Mini-course: "Inverse Problems for Partial Differential Equations", Weissensee Summercamp


WS 2011/2012 Lecture: "Inverse und schlecht gestellte Probleme", together with Dr. F. Wübbeling.
MT 2009 Supervision, Lecture Partial Differential Equations (Univ. Cambridge)
MT 2008 Supervision and Preparation of Example Sheets, Lecture Partial Differential Equations (Univ. Cambridge)

Short CV

For a complete CV (in german) see here.

since 07/2015 Post-Doc, WWU Münster
2012-2015 Post-Doc, TU Darmstadt
02/0212-08/2012 Post-Doc, Center for Industrial and Applied Mathematics, KTH, Stockholm
10/0211-01/2012 Post-Doc, Institute for Computational and Applied Mathematics, University of Münster
10/2008-11/0211 PhD Student in Cambridge, Thesis: On Some Partial Differential Equation Models in Socio-Economic Contexts - Analysis and Numerical Simulations
10/2008 Master in Mathematics (Mathediplom), Title: Long-time Behaviour of nonlinear Fokker-Planck equations, Supervisor: Prof. Martin Burger, thesis
06/2008 Master in Physics (Physikdiplom), Title: Development of a Novel Readout System for Small Animal Positron Emmision Tomography, Supervisor: Prof. Johannes Wessels, thesis
2002 A-levels (Abitur)

Contact details

Institute for Computational and Applied Mathematics
Einsteinstrasse 62
48149 Münster
Tel.: +49 251 83-33776
+49 251 83-33792
Fax: +49 251 83-32729

E-Mail: pietschm@wwu.de
Tel: +49 (0)251 83-35060
Fax: +49 (0)251 83-32729