Canards in a bottleneck

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations for ordinary differential equations (34E15) Canard solutions to ordinary differential equations (34E17) Fokker-Planck equations (35Q84)

Cites Work

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Continuous limit of a crowd motion and herding model: analysis and numerical simulations
Existence and uniqueness of generalized stationary waves for viscous gas flow through a nozzle with discontinuous cross section
Multiple time scale dynamics
On the Hughes' model for pedestrian flow: the one-dimensional case
Traffic flow: A statistical physics point of view
Stationary solutions of Keller-Segel-type crowd motion and herding models: multiplicity and dynamical stability
Inviscid and viscous stationary waves of gas flow through contracting-expanding nozzles
Geometric singular perturbation theory for ordinary differential equations
An exact solution of a one-dimensional asymmetric exclusion model with open boundaries
Relaxation oscillations in \({\mathbb R}^3\)
A PDE model for unidirectional flows: stationary profiles and asymptotic behaviour
Multiscale modeling of pedestrian dynamics
A general view on double limits in differential equations
Lane Formation by Side-Stepping
Flow characteristics in a crowded transport model
Nonlinear Poisson–Nernst–Planck equations for ion flux through confined geometries
Fully parabolic Keller–Segel model for chemotaxis with prevention of overcrowding
A totally asymmetric exclusion process with stochastically mediated entrance and exit
On the Application of Geometric Singular Perturbation Theory to Some Classical Two Point Boundary Value Problems
Active Crowds
Towards a mathematical theory of behavioral human crowds
Shock Waves on the Highway
Singular Perturbation Analysis of a Regularized MEMS Model
On kinematic waves II. A theory of traffic flow on long crowded roads
Canards in \(\mathbb{R}^3\)

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