Generalized Wasserstein Distance and its Application to Transport Equations with Source

Multiscale Modeling of Granular Flows with Application to Crowd Dynamics

Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin · Multiscale Modeling and Simulation · 2011 · 232 citations · Full text

Natural Sciences, Physics, Computational Fluid Dynamics +14

A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE

Bertrand Maury, Aude Roudneff-Chupin, Filippo Santambrogio · Mathematical Models and Methods in Applied Sciences · 2010 · 216 citations · Full text

Engineering, Mathematics, Fluid Dynamics +12

Time-Evolving Measures and Macroscopic Modeling of Pedestrian Flow

Benedetto Piccoli, Andrea Tosin · Archive for Rational Mechanics and Analysis · 2010 · 186 citations · Full text

Engineering, Civil Engineering, Transport +14

Hamiltonian ODEs in the Wasserstein space of probability measures

Luigi Ambrosio, Wilfrid Gangbo · Communications on Pure and Applied Mathematics · 2007 · 149 citations

Natural Sciences, Mathematics, Physics +16

Pedestrian flows in bounded domains with obstacles

Benedetto Piccoli, Andrea Tosin · Continuum Mechanics and Thermodynamics · 2009 · 139 citations · Full text

Engineering, Civil Engineering, Fluid Dynamics +7