Pedestrian flows and non‐classical shocks

By Rinaldo M. Colombo, Massimiliano D. Rosini. 2005

244 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Environmental Engineering, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/5a5fd4275ae4911a1f98b8b12c72bb21abf947f8

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In Control and Systems Engineering

In Environmental Engineering

In Ocean Engineering

Citations in the corpus

From Crowd Dynamics to Crowd Safety: a Video-Based Analysis (2008, background): “It should be noted that the second increase of the flow has important implications for the dynamics [2].”
Time-Evolving Measures and Macroscopic Modeling of Pedestrian Flow (2008, background): “…and numerical approximation of the resulting mathematical structures, which is the main target of this work, follow more easily and straightforwardly than in case of standard hyperbolic conservation laws, also used in the specialized literature by some Authors to address analogous problems.”
On the modelling and management of traffic (2011, methodology): “It has proved to be an effective and efficient tool in the analytical study of systems of conservation laws, see for instance [1, 2, 7, 8, 11].”
A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC (2011, background): “To underline the variety of analytical techniques with which crowd dynamics has been tackled, we recall the further approaches: optimal transport in [5], the mean field limit in [15], the functional analytic one in [26, 27] and the nonclassical shocks used in [6, 10, 11].”
Continuum crowds (2006, methodology): “Alternative continuum models of 1D crowd flow have also been analyzed [Colombo and Rosini 2005].”
On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives (2011, unknown): “Further analysis is given in [48], [206].”
Control of the Continuity Equation with a Non Local Flow (2009, methodology): “A model for pedestrian flow Macroscopic models for pedestrian movements are based on the continuity equation, see [12,14,16,19], possibly together with a second equation, as in [17].”