Publications and Preprints


  1. M.T. Wolfram,
    Semiconductor inverse dopant profiling from transient measurements ,
    Journal of Computational Electronics, 6(4), 395-444, 2007
  2. M. Burger, R. Pinnau, M.T. Wolfram,
    On-off-state design of semiconductor doping profiles,
    Commun. Math. Sci., 6, 1021-1041, 2008
  3. P.A. Markowich, N. Matevosyan, J.F. Pietschmann, M.T. Wolfram,
    On a parabolic free boundary value problem modeling price formation ,
    Math. Models Methods Appl. Sci., 11(19), 1929-1957, 2009
  4. B. Duering, 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), 3687-3708, 2009
  5. M. Burger, J.A. Carrillo, M.T. Wolfram,
    A mixed finite element method for nonlinear diffusion equations ,
    KRM, 3(1), 59-83, 2010
  6. M.T. Wolfram, M. Buger, Z.S. Siwy,
    Mathematical modeling and simulation of nanopore blocking by precipitation ,
    J. Phys.: Condens. Matter, 22(45), 2010
  7. M. Burger, N. Matevosyan, M.T. Wolfram,
    A level set based shape optimization method for an elliptic obstacle problem ,
    M3AS, 21(4), 616-649, 2011
  8. M. Di Francesco, P.A. Markowich, J.F. Pietschmann, M.T. Wolfram,
    On the Hughes' model of pedestrian flow: The one-dimensional case ,
    JDE, 250(3), 1334-1362, 2011
  9. L.A. Caffarelli, P.A. Markowich, M.T. Wolfram,
    On a price formation free boundary value model by Lasry & Lions: The Neumann problem ,
    C. R. Acad. Sci. Paris, 349, 841-844, 2011
  10. A. Lachapelle, M.T. Wolfram,
    On a mean field game approach modeling congestion and aversion in pedestrian crowds ,
    Trans. Res.: Part B: Methodological, 45(10), 1572-1589, 2011
  11. M. Burger, B. Schlake, M.T. Wolfram,
    Nonlinear Poisson-Nernst-Planck equations for ion flux through confined geometries ,
    Nonlinearity, 25, 961-990, 2012
  12. D. Brinkman, K. Fellner, P.A. Markowich, M.T. Wolfram,
    A drift-diffusion reaction model for excitonic photovoltaic bilayers: asymptotic analysis and a 2D HDG finite element scheme
    Math. Model Methods Appl. Sci., 23(5), 2013
  13. M. Burger, J. Haskovec, M.T. Wolfram,
    Individual based and mean-field modelling of direct aggregation,
    Physica D: Nonlinear Phenomena, 260, 145-158, 2013
  14. M. Burger, L. Cafferelli, P.A. Markowich, M.T. Wolfram,
    On a Boltzmann type price formation model,
    Proc. R. Soc. A, 469(2157), 20130126, 2013
  15. M. Burger, J.F. Pietschmann, M.T. Wolfram,
    Identification of non-linearities in transport-diffusion models modelling crowded motion,
    Inverse Problems and Imaging, 7(4), 2013
  16. J.F. Pietschmann, M.T. Wolfram, M. Burger, C. Trautmann, G. Nguyen, M. Pevarnik, V. Bayer, Z. Siwy
    Rectification properties of conically shaped nanopores: consequences of miniaturization,
    Physical Chemistry Chemical Physics, 15, 16917-16926, 2013
  17. M. Burger, M. Di Francesco, P.A. Markowich, M.T. Wolfram,
    Mean field games with nonlinear mobilities in pedestrian dynamics,
    DCDS 19(5), 1311--1333, 2014
  18. M. Burger, L. Caffarelli, P.A. Markowich, M.T. Wolfram,
    On the asymptotic behavior of a Boltzmann-type price formation model,
    CMS, 12(7), 1353--1361, 2014

Conference proceedings

  1. M. Burger, M.T. Wolfram,
    Inverse dopant profiling for highly doped semiconductor devices,
    Proceedings of 5th MathMod, Vienna, 2006
  2. M.T. Wolfram,
    Opinion formation in a heterogenuous society,
    Proceedings of the Econophys V, India, 2010
  3. M. Buger, M. Di Francesco, P. Markowich, M.T. Wolfram,
    On a Mean Field Game Optimal Control Approach Modeling Fast Exit Scenarios in Human Crowds,
    accepted at the 52nd IEEE Conference on Decision and Control, Firence, Italy, 2013.

Submitted preprints

  1. D. Gomes, R.M. Velho, M.T. Wolfram, Socio economic applications of finite state mean field games, submitted, 2014.


  1. M.T. Wolfram,
    Forward and inverse solvers for electrodiffusion problems,
    PhD thesis, University of Linz, 2008
  2. M.T. Wolfram, Habil , University of Vienna, 2013

Press and media

  • Austrian Press Agency, Forscher analysieren Preise mit Ansatz aus Physik, July 2013
  • Der Standard, Wie Oesterreich forscht und foerdert, May 2013
  • Uni Wien Medienportal, Erfolgreiche Nachwuchwissenschafterinnen, April 2013
  • Die Presse, Viel Geld fuer neue Ideen, April 2013
  • Der Standard, Acht Millionen Euro fuer drei Jungforscher, April 2013
  • Der Standard, Simuliertes Gedraengel, Nov 2011
  • Die Presse, Mathematik: Die Dynamic von Massen June 2011
  • Falter - Wissenschaftsmagazin, Die Dichte bewegt sich Feb 2011
  • OE1 Dimensionen-Magazin, Bewegungsablaeufe: Eine mathematische Herausforderung, Feb 2011
  • Uni Wien Medienportal, Faszination Bewegungsablaeufe, Jan 2011