Mathematics – Analysis of PDEs
Scientific paper
2011-10-17
Mathematics
Analysis of PDEs
Scientific paper
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 $\reali^+$. 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 Kruzkov theory of scalar conservation laws in several space dimensions.
Colombo Rinaldo M.
Lécureux-Mercier Magali
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