21 citations · 73 across the 16 of their papers we have counts for
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math.AP2014★ 12 cited
Differential Equations Modeling Crowd Interactions
Raul Borsche, Rinaldo M. Colombo, Mauro Garavello +1
Nonlocal conservation laws are used to describe various realistic instances of crowd behaviors. First, a basic analytic framework is established through an "ad hoc" well posedness…
physics.flu-dyn2014★ 21 cited
Flooding in urban drainage systems: Coupling hyperbolic conservation laws for sewer systems and surface flow
Raul Borsche, Axel Klar
In this paper we propose a model for a sewer network coupled to surface flow and investigate it numerically. In particular, we present a new model for the manholes in storm sewer s…