Publications

Recent work

  1. J. Berendsen, M. Burger, V. Ehrlacher, J.-F. Pietschmann, Strong solutions and weak-strong stability in a system of cross-diffusion equations (660-797-1629), 2018.

  2. M. Burger, I. Humpert, J.-F. Pietschmann, On Fokker-Planck Equations with In- and Outflow of Mass (arXiv), 2018.

  3. A. Lorz, J.-F. Pietschmann, M. Schlottbom, Parameter identification in a structured population model (arXiv), 2018.

  4. M. Burger, J.-F. Pietschmann, H. Ranetbauer, C. Schmeiser, M.T. Wolfram,Mean field models for segregation dynamics, (704-969-9700), 2018.

  5. M. Burger, P. Friele, J.-F. Pietschmann, On a Reaction–Cross–Diffusion System Modelling the Growth of Glioblastoma ((601) 699-3028), 2017.

In peer-reviewed journals

  1. B. Matejczyk, J.-F. Pietschmann, G. Richardson, M.T. Wolfram, Asymptotic models for transport in large aspect ratio nanopores, European Journal of Applied Mathematics, (2406951088, (662) 931-7073), 2018.
  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, to appear in Applied Mathematics and Computation, (424-329-6604), 2018.
  3. H. Egger, J.-F. Pietschmann, M. Schlottbom, On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms, Inverse Problems, Volume 33(11), (doi:10.10881361-6420/aa8cae, arXiv), 2017.
  4. J. Berendsen, M. Burger, J.-F. Pietschmann, On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion, Nonlinear Analysis, Volume 159, Pages 10-39, (doi:10.1016/j.na.2017.03.010, arXiv), 2017
  5. 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, Journal of Chemical Physics 146, 124125, ((845) 595-8477, 6414400552), 2017
  6. M. Burger, J.-F. Pietschmann, Flow Characteristics in a Crowded Transport Model.Nonlinearity, 29 3528, 2016 (doi:10.10880951-7715/29/11/3528, 336-982-7887)
  7. 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: 10.1137140967222, 310-816-8001)
  8. H. Egger, J.-F. Pietschmann, M. Schlottbom, Identification of nonlinear heat conduction laws Journal of Inverse and Ill-Posed Problems. ((808) 313-2284, arXiv)
  9. 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)
  10. 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)
  11. H. Egger, J.-F. Pietschmann, M. Schlottbom, Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem, lherzolite 30(3):035009, 2014, (arXiv, (701) 833-1726)
  12. 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, 314-592-2786)
  13. 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, (published version)
  14. 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(arXiv, published version)
  15. 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, 8062518529)
  16. 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)
  17. 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 (647-633-6166)
  18. 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, 9204437825, 465(2112), p. 3687-3708, 2009, (preprint, published version)
  19. P.A. Markowich, N. Matevosyan, J.-F. Pietschmann, M.-T. Wolfram, On a parabolic free boundary equation modeling price formation, Math. Models Methods Appl. S