Stationary profiles of a convection-diffusion model for unidirectional pedestrian flows are analyzed via geometric singular perturbation theory relating boundary layers to inflow/outflow conditions and domain shape, with numerical confirmation.
The orange lines are the projection of L (at ξ = 0) and L+ (at ξ = 1) on C0, while the purple one represents the projection of R− onC0 at ξ = 1
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A PDE model for unidirectional flows: stationary profiles and asymptotic behaviour
Stationary profiles of a convection-diffusion model for unidirectional pedestrian flows are analyzed via geometric singular perturbation theory relating boundary layers to inflow/outflow conditions and domain shape, with numerical confirmation.