A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC

Stability and total variation estimates on general scalar balance laws

(2013) Rinaldo M. Colombo et al.   Communications in Mathematical Sciences

Multiscale Modeling of Granular Flows with Application to Crowd Dynamics

(2011) Emiliano Cristiani et al.   MULTISCALE MODELING & SIMULATION

On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives

(2011) Nicola Bellomo et al.   SIAM REVIEW

Time-Evolving Measures and Macroscopic Modeling of Pedestrian Flow

(2010) Benedetto Piccoli et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Control of the continuity equation with a non local flow

(2010) Rinaldo M. Colombo et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

On the Hughes' model for pedestrian flow: The one-dimensional case

(2010) Marco Di Francesco et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

On the Cauchy problem for macroscopic model of pedestrian flows

(2010) Christian Dogbe   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Modeling crowd dynamics by the mean-field limit approach

(2010) Christian Dogbé   MATHEMATICAL AND COMPUTER MODELLING

A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE

(2010) BERTRAND MAURY et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Pedestrian flows in bounded domains with obstacles

(2009) Benedetto Piccoli et al.   CONTINUUM MECHANICS AND THERMODYNAMICS

An Optimization Problem for Mass Transportation with Congested Dynamics

(2009) G. Buttazzo et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

FIRST-ORDER MACROSCOPIC MODELLING OF HUMAN CROWD DYNAMICS

(2008) V. COSCIA et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

ON THE MODELLING CROWD DYNAMICS FROM SCALING TO HYPERBOLIC MACROSCOPIC MODELS

(2008) NICOLA BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Existence of nonclassical solutions in a Pedestrian flow model

(2008) Rinaldo M. Colombo et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS