Nonlocal Crowd Dynamics Models for Several Populations
By Rinaldo M. Colombo, Magali L'ecureux-Mercier. 2011
125 citations recorded by the source corpus.
Abstract This paper develops the basic analytical theory related to some recently introduced crowd dynamics models. Where well posedness was known only locally in time, it is here extended to all of ℝ + . The results on the stability with respect to the equations are improved. Moreover, here the case of several populations is considered, obtaining the well posedness of systems of multi-D non-local conservation laws. The basic analytical tools are provided by the classical Kružkov theory of scalar conservation laws in several space dimensions.
Subfields: Control and Systems Engineering, Ocean Engineering, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/7fa953573f38edbe570d2f07e5b1ef47b0851a64
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In Control and Systems Engineering
In Ocean Engineering
Citations in the corpus
- On the Numerical Integration of Scalar Nonlocal Conservation Laws (2015, background): “Remark that in the nonlocal case, well posedness results are available also in the case of systems in several space dimensions, see [8,10].”