| On a mean field game approach modeling congestion and aversion in pedestrian crowds A Lachapelle, MT Wolfram Transportation research part B: methodological 45 (10), 1572-1589, 2011 | 222 | 2011 |
| Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders B Düring, P Markowich, JF Pietschmann, MT Wolfram Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2009 | 157 | 2009 |
| On the Hughes' model for pedestrian flow: The one-dimensional case M Di Francesco, PA Markowich, JF Pietschmann, MT Wolfram Journal of Differential Equations 250 (3), 1334-1362, 2011 | 116 | 2011 |
| Mean field games with nonlinear mobilities in pedestrian dynamics M Burger, M Di Francesco, P Markowich, MT Wolfram Discrete and Continuous Dynamical Systems - Series B 19 (5), 1311-1333, 2013 | 111 | 2013 |
| Nonlinear Poisson–Nernst–Planck equations for ion flux through confined geometries M Burger, B Schlake, MT Wolfram Nonlinearity 25 (4), 961, 2012 | 95 | 2012 |
| Rectification properties of conically shaped nanopores: consequences of miniaturization JF Pietschmann, MT Wolfram, M Burger, C Trautmann, G Nguyen, ... Physical Chemistry Chemical Physics 15 (39), 16917-16926, 2013 | 57 | 2013 |
| A mixed finite element method for nonlinear diffusion equations M Burger, JA Carrillo, T WOLFRAM Kinetic and Related Methods 3 (1), 59-83, 2010 | 57 | 2010 |
| Socio-economic applications of finite state mean field games D Gomes, RM Velho, MT Wolfram Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2014 | 53 | 2014 |
| An improved version of the Hughes model for pedestrian flow JA Carrillo, S Martin, MT Wolfram Mathematical Models and Methods in Applied Sciences 26 (04), 671-697, 2016 | 48* | 2016 |
| On a Boltzmann-type price formation model M Burger, L Caffarelli, P Markowich, MT Wolfram Proc. R. Soc. A 469 (2157), 2013 | 47 | 2013 |
| A drift–diffusion–reaction model for excitonic photovoltaic bilayers: Asymptotic analysis and a 2D HDG finite element scheme D Brinkman, K Fellner, PA Markowich, MT Wolfram Mathematical Models and Methods in Applied Sciences 23 (05), 839-872, 2013 | 38 | 2013 |
| Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms JA Carrillo, H Ranetbauer, MT Wolfram Journal of Computational Physics 327, 186-202, 2016 | 34 | 2016 |
| On a parabolic free boundary equation modeling price formation PA Markowich, N Matevosyan, JF Pietschmann, MT Wolfram Mathematical Models and Methods in Applied Sciences 19 (10), 1929-1957, 2009 | 34 | 2009 |
| Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation B Düring, MT Wolfram Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2015 | 33 | 2015 |
| Lane formation by side-stepping M Burger, S Hittmeir, H Ranetbauer, MT Wolfram SIAM Journal on Mathematical Analysis 48 (2), 981-1005, 2016 | 32 | 2016 |
| Multiscale modeling of a rectifying bipolar nanopore: Comparing Poisson-Nernst-Planck to Monte Carlo B Matejczyk, M Valiskó, MT Wolfram, JF Pietschmann, D Boda The Journal of chemical physics 146 (12), 124125, 2017 | 25 | 2017 |
| Individual based and mean-field modeling of direct aggregation M Burger, J Haškovec, MT Wolfram Physica D: Nonlinear Phenomena 260, 145-158, 2013 | 25 | 2013 |
| Mathematical modeling and simulation of nanopore blocking by precipitation MT Wolfram, M Burger, ZS Siwy Journal of Physics: Condensed Matter 22 (45), 454101, 2010 | 23 | 2010 |
| On a mean field game optimal control approach modeling fast exit scenarios in human crowds M Burger, M Di Francesco, PA Markowich, MT Wolfram 52nd IEEE Conference on Decision and Control, 3128-3133, 2013 | 20 | 2013 |
| Kinetic description of collision avoidance in pedestrian crowds by sidestepping A Festa, A Tosin, MT Wolfram Kinetic and related models 11 (3), 2018 | 19 | 2018 |
Martin BurgerFriedrich-Alexander Universität Erlangen-NürnbergVerified email at fau.de
