| 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 | 277 | 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 | 195 | 2009 |
| 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 | 145 | 2013 |
| 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 | 129 | 2011 |
| Nonlinear Poisson–Nernst–Planck equations for ion flux through confined geometries M Burger, B Schlake, MT Wolfram Nonlinearity 25 (4), 961, 2012 | 112 | 2012 |
| 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 | 72 | 2014 |
| 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 | 72 | 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 | 67 | 2010 |
| 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 | 66* | 2016 |
| On a Boltzmann-type price formation model M Burger, L Caffarelli, P Markowich, MT Wolfram Proc. R. Soc. A 469 (2157), 2013 | 54 | 2013 |
| Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms JA Carrillo, H Ranetbauer, MT Wolfram Journal of Computational Physics 327, 186-202, 2016 | 50 | 2016 |
| 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 | 49 | 2015 |
| 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 | 44 | 2013 |
| Lane formation by side-stepping M Burger, S Hittmeir, H Ranetbauer, MT Wolfram SIAM Journal on Mathematical Analysis 48 (2), 981-1005, 2016 | 41 | 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 | 38 | 2009 |
| Parameter estimation for macroscopic pedestrian dynamics models from microscopic data SN Gomes, AM Stuart, MT Wolfram SIAM Journal on Applied Mathematics 79 (4), 1475-1500, 2019 | 33 | 2019 |
| 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 | 31 | 2017 |
| Kinetic description of collision avoidance in pedestrian crowds by sidestepping A Festa, A Tosin, MT Wolfram Kinetic and related models 11 (3), 2018 | 29 | 2018 |
| 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 | 29 | 2013 |
| Individual based and mean-field modeling of direct aggregation M Burger, J Ha¹kovec, MT Wolfram Physica D: Nonlinear Phenomena 260, 145-158, 2013 | 29 | 2013 |
Martin BurgerDeutsches Elektronen-Synchrotron DESY und Universität HamburgVerified email at uni-hamburg.de
