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math.AP 1 math.DS 1

years

2022 1 2020 1

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UNVERDICTED 2

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Canards in a bottleneck

math.DS · 2022-11-30 · unverdicted · novelty 6.0

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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  • Canards in a bottleneck math.DS · 2022-11-30 · unverdicted · none · ref 15

    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.

  • A PDE model for unidirectional flows: stationary profiles and asymptotic behaviour math.AP · 2020-10-27 · unverdicted · none · ref 22

    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.