17 citations · 40 across the 13 of their papers we have counts for
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math.AP2020
Modeling of crowds in the regions with moving obstacles via measure sweeping processes
Nadezhda Maltugueva, Nikolay Pogodaev
We present a model of crowd motion in regions with moving obstacles, which is based on the notion of measure sweeping process. The obstacle is modeled by a set-valued map, whose va…
math.AP2017
Estimates of the Domain of Dependence for Scalar Conservation Laws
Nikolay Pogodaev
We consider the Cauchy problem for a multidimensional scalar conservation law and construct an outer estimate for the domain of dependence of its Kruzkov solution. The estimate can…
math.AP2012★ 6 cited
Conservation laws in the modeling of moving crowds
Rinaldo M. Colombo, Mauro Garavello, Magali Lécureux-Mercier +1
This paper is a proceeding of the conference hyp2012 that was held in Padova in June 2012. Models for crowd dynamics are presented and compared. Well posedness results allow to exh…