Report copyright - Existence results for Hughes' model for pedestrian flows · c(ρ(t,x))dx= Z ξ(t) −1 c(ρ(t,x))dx= Z 1 −ξ(t) c(ρ(t,−x))dx= Z 1 −ξ(t) c(ρ(t,x))dx and therefore ξ(t) =
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