Wavefronts in traffic flows and crowds dynamics

DOI10.1007/978-3-030-61346-4_8zbMath1462.35122OpenAlexW3128561082MaRDI QIDQ2662138

Publication date: 9 April 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-61346-4_8

networks one space dimension sharp profiles semi-wavefronts crowds dynamics degenerate diffusion-convection reaction equations

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Hyperbolic conservation laws (35L65) Traveling wave solutions (35C07) Traffic and pedestrian flow models (76A30)

Related Items (2)

The many facets of the Estrada indices of graphs and networks ⋮ Wavefronts for degenerate diffusion-convection reaction equations with sign-changing diffusivity

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Qualitative behavior and traveling waves for flux-saturated porous media equations arising in optimal mass transportation
Macroscopic models for vehicular flows and crowd dynamics: theory and applications. Classical and non-classical advanced mathematics for real life applications
Constructing set-valued fundamental diagrams from jamiton solutions in second order traffic models
Construction of exact travelling waves for the Benjamin-Bona-Mahony equation on networks
Traveling wave in backward and forward parabolic equations from population dynamics
Semi-wavefront solutions in models of collective movements with density-dependent diffusivity
Qualitative behaviour for flux-saturated mechanisms: travelling waves, waiting time and smoothing effects
Non-local first-order modelling of crowd dynamics: a multidimensional framework with applications
On the entropy conditions for some flux limited diffusion equations
An existence and uniqueness result for flux limited diffusion equations
Front propagation in diffusion-aggregation models with bi-stable reaction
Diffusion-aggregation processes with mono-stable reaction terms
Two-phase entropy solutions of forward-backward parabolic problems with unstable phase
First-order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow
Two-phase entropy solutions of a forward-backward parabolic equation
Hyperbolic phenomena in a strongly degenerate parabolic equation
Multidimensional nonlinear diffusion arising in population genetics
Entropy solutions for nonlinear degenerate problems
Modeling, analysis and control of dynamic elastic multi-link structures
Mathematical biology. Vol. 2: Spatial models and biomedical applications.
Traveling-wave solutions of the diffusively corrected kinematic-wave model
Discontinuous solutions of some strongly degenerate parabolic equations.
Traveling waves for degenerate diffusive equations on networks
Differential equations on networks (geometric graphs)
Travelling waves in nonlinear diffusion-convection reaction
The characterization of reaction-convection-diffusion processes by travelling waves
Degenerate regularization of forward-backward parabolic equations: the vanishing viscosity limit
Continuous dependence in front propagation of convective reaction-diffusion equations
Saturated fronts in crowds dynamics
The BGK approximation of kinetic models for traffic
Monotone traveling waves for reaction-diffusion equations involving the curvature operator
Degenerate regularization of forward-backward parabolic equations: the regularized problem
Traveling waves for conservation laws with nonlocal flux for traffic flow on rough roads
Non-uniqueness results for entropy two-phase solutions of forward-backward parabolic problems with unstable phase
Flux-saturated porous media equations and applications
The Cauchy problem for a strongly degenerate quasilinear equation
Sharp profiles in models of collective movements
Traveling wave profiles for a follow-the-leader model for traffic flow with rough road condition
Viscous profiles in models of collective movement with negative diffusivity
Traveling waves for nonlocal models of traffic flow
On the role of source terms in continuum traffic flow models
Multiscale modeling of pedestrian dynamics
Classical and non-classical solutions of a prescribed curvature equation
Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
Flux limited generalized porous media diffusion equations
A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC
Vanishing Viscosity for Traffic on Networks
Existence of Infinitely Many Solutions for a Forward Backward Heat Equation
On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives
Hyperbolic systems of conservation laws II
FIRST-ORDER MACROSCOPIC MODELLING OF HUMAN CROWD DYNAMICS
Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
Uniqueness of the entropy solution of a strongly degenerate parabolic equation
Breakdown in Burgers-type equations with saturating dissipation fluxes
Effects of a saturating dissipation in Burgers-type equations
Formation of discontinuities in flux-saturated degenerate parabolic equations
Experimental Features of Self-Organization in Traffic Flow
IRREVERSIBILITY AND HYSTERESIS FOR A FORWARD–BACKWARD DIFFUSION EQUATION
On degenerate saturated-diffusion equations with convection
Aggregation under local reinforcement: From lattice to continuum
Finite Speed of Propagation in Monostable Degenerate Reaction-Diffusion-Convection Equations
The Structure of Internal Layers for Unstable Nonlinear Diffusion Equations
ON THE MATHEMATICAL THEORY OF VEHICULAR TRAFFIC FLOW I: FLUID DYNAMIC AND KINETIC MODELLING
Resurrection of "Second Order" Models of Traffic Flow
Traffic Flow on a Road Network
Discontinuous solutions of non-linear differential equations
Shock Waves on the Highway
AGGREGATIVE MOVEMENT AND FRONT PROPAGATION FOR BI-STABLE POPULATION MODELS
On reaction processes with saturating diffusion
Pedestrian flows and non-classical shocks
On kinematic waves II. A theory of traffic flow on long crowded roads
Hyperbolic Conservation Laws in Continuum Physics

This page was built for publication: Wavefronts in traffic flows and crowds dynamics