Welcome
Welcome to my Homepage. I am currently a Post-Doc researcher at the Center for Industrial and Applied Mathematics at KTH, Stockholm.
Research Interests
My current research interest are socio-economic PDE models (especially crowd motion), finite element methods, long time behaviour of non-linear Fokker-Planck equatation, PDE methods in general, particle detectors in medical applications
Submitted
| [1] M. Burger, J.-F. Pietschmann, M.-T. Wolfram, Identification of non-linearities in transport-diffusion models of crowded motion, UCLA CAM Report 11-80, 2011, (preprint) |
Publications in Journals
| [1] 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) |
| [2] 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) |
| [3] 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) |
| [4] 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) |
| [5] 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) |
| [6] 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
| [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) |
Misc
| [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 |
Teaching
| 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) |
Recent Stays and Talks
| 12/12/2011-16/12/2011 | Inverse Problems in Science and Engineering, Newton Institute, Cambridge, talk |
| 22/09/2011-23/09/2011 | Chemnitz Symposium on Inverse Problems, TU Chemnitz, talk |
| 14/3/2011-16/3/2011 | Workshop on Numerical Methods for Optimal Control and Inverse Problems, TU München |
| 15/3/2010-16/3/2010 | KAUST Workshop, Cambridge |
| 07/9/2009-19/9/2009 | Mathematical Models in Life and Social Sciences, Alba Adriatica (Italy), talk |
| 27/7/2009-31/7/2009 | Workshop on 'Kinetic and Mean-field models in the Socio-Economic Sciences' @ ICMS (Edinburgh), talk |
| 2/6/2008-4/6/2008 | Workshop on 'Kinetic and Macroscopic Models for Cars, Supply Chains, and Pedestrian Flows' @ WPI (Vienna) |
| 3/2008-6/2008 | Core participant of the 'Optimal Transport' longterm programm @ IPAM (Los Angeles) |
| 6/2008 | Talk about 'Nonlinear Fokker Planck Equation' @ Culminating workshop of the Optimal Transport Programm (Lake Arrowhead) |
Short CV
| since 02/0212 | 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 |
| 6/2008 | 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) |
If you have any questions or comments, please contact me.