Stationary profiles of a nonlinear Fokker-Planck equation in bottleneck corridors include three types, with the transition type featuring canard solutions at the minimum width, classified via a bifurcation diagram in inflow and outflow rates.
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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.
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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.