Communications in Mathematical Sciences, ISSN 1539-6746, 2017, Volume 15, Issue 1, pp. 261 - 287

We prove existence and uniqueness of solutions to a transport equation modelling vehicular traffic in which the velocity field depends non-locally on the...

Wasserstein distance | Transport equations | Macroscopic traffic flow models | Micro-macro limits | Non-local velocity | micro-macro limits | MATHEMATICS, APPLIED | non-local velocity | WAVES | macroscopic traffic flow models | SIMULATION

Wasserstein distance | Transport equations | Macroscopic traffic flow models | Micro-macro limits | Non-local velocity | micro-macro limits | MATHEMATICS, APPLIED | non-local velocity | WAVES | macroscopic traffic flow models | SIMULATION

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 1/2016, Volume 168, Issue 1, pp. 216 - 230

We show the existence of the Braess paradox for a traffic network with nonlinear dynamics described by the Lighthill–Whitham–Richards model for traffic flow....

Braess paradox | Nash optimum | Mathematics | Theory of Computation | Optimization | 35L65 | Hyperbolic conservation laws | 90B20 | Calculus of Variations and Optimal Control; Optimization | Traffic dynamics | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | Control theory | MATHEMATICS, APPLIED | TRAFFIC FLOW | NETWORKS | DRIVERS | MODEL | WAVES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EQUILIBRIA | ROADS | Environmental law | Analysis | Studies | Traffic flow | Mathematical analysis | Game theory | Nonlinear systems | Nonlinear dynamics | Networks | Traffic engineering | Mathematical models | Paradoxes | Mathematics - Analysis of PDEs

Braess paradox | Nash optimum | Mathematics | Theory of Computation | Optimization | 35L65 | Hyperbolic conservation laws | 90B20 | Calculus of Variations and Optimal Control; Optimization | Traffic dynamics | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | Control theory | MATHEMATICS, APPLIED | TRAFFIC FLOW | NETWORKS | DRIVERS | MODEL | WAVES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EQUILIBRIA | ROADS | Environmental law | Analysis | Studies | Traffic flow | Mathematical analysis | Game theory | Nonlinear systems | Nonlinear dynamics | Networks | Traffic engineering | Mathematical models | Paradoxes | Mathematics - Analysis of PDEs

Journal Article

Mathematical Programming, ISSN 0025-5610, 11/2015, Volume 153, Issue 2, pp. 595 - 633

Equilibrium modeling is common in a variety of fields such as game theory and transportation science. The inputs for these models, however, are often difficult...

62G05 Nonparametric Inference: Estimation | 74G75 Equilibrium: Inverse Problems | Theoretical, Mathematical and Computational Physics | 90B20 Operations Research and Management Science: Traffic Problems | Nonparametric estimation | Mathematics | Equilibrium | Mathematical Methods in Physics | Utility estimation | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Traffic assignment | Numerical Analysis | 62P20 Applications to Economics | Combinatorics | MATHEMATICS, APPLIED | CONVEX-PROGRAMS | NETWORKS | VARIATIONAL-INEQUALITIES | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MARKET EQUILIBRIUM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MODELS | COMPETITION | Management science | Game theory | Analysis | Traffic congestion | Studies | Estimating techniques | Optimization | Mathematical programming | Mathematical analysis | Estimating | Mathematical models | Inverse | Congestion | Estimates | Regularization

62G05 Nonparametric Inference: Estimation | 74G75 Equilibrium: Inverse Problems | Theoretical, Mathematical and Computational Physics | 90B20 Operations Research and Management Science: Traffic Problems | Nonparametric estimation | Mathematics | Equilibrium | Mathematical Methods in Physics | Utility estimation | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Traffic assignment | Numerical Analysis | 62P20 Applications to Economics | Combinatorics | MATHEMATICS, APPLIED | CONVEX-PROGRAMS | NETWORKS | VARIATIONAL-INEQUALITIES | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MARKET EQUILIBRIUM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MODELS | COMPETITION | Management science | Game theory | Analysis | Traffic congestion | Studies | Estimating techniques | Optimization | Mathematical programming | Mathematical analysis | Estimating | Mathematical models | Inverse | Congestion | Estimates | Regularization

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 4/2019, Volume 181, Issue 1, pp. 279 - 297

Evacuation planning in three-dimensional (3D) constrained space scenarios is an important kind of emergency management problems. In this paper, we investigate...

Path planning problem | Route network | Minimum weighted set cover | Mathematics | Theory of Computation | Optimization | 3D scenarios | Constrained space evacuation | 90B20 | 90C35 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | 90B50 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SHORTEST PATHS | Evacuation of civilians | Mineral industry | Engineering schools | Algorithms | Mining industry | Mine water | Underground mines | Evacuation routing | Airlines | Trajectory planning | Run time (computers) | Emergency management

Path planning problem | Route network | Minimum weighted set cover | Mathematics | Theory of Computation | Optimization | 3D scenarios | Constrained space evacuation | 90B20 | 90C35 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | 90B50 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SHORTEST PATHS | Evacuation of civilians | Mineral industry | Engineering schools | Algorithms | Mining industry | Mine water | Underground mines | Evacuation routing | Airlines | Trajectory planning | Run time (computers) | Emergency management

Journal Article

Methodology and Computing in Applied Probability, ISSN 1387-5841, 12/2019, Volume 21, Issue 4, pp. 1023 - 1044

We study a single server queue, where a certain type of dependence is introduced between the service times, or between the inter-arrival times, or both between...

Waiting time distribution | Mixing | Statistics and Probability | Duality between risk and queueing models | Mathematics(all) | Dependence | 90B20 | Life Sciences, general | Statistics, general | 60K25 | Statistics | Economics, general | Business and Management, general | Electrical Engineering

Waiting time distribution | Mixing | Statistics and Probability | Duality between risk and queueing models | Mathematics(all) | Dependence | 90B20 | Life Sciences, general | Statistics, general | 60K25 | Statistics | Economics, general | Business and Management, general | Electrical Engineering

Journal Article

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ISSN 0044-2267, 07/2019, Volume 99, Issue 7, p. n/a

The phenomenon of chemotactic collapse is identified and analyzed for a chemotaxis model in a conservative form when the diffusion effect is neglected by using...

chemotaxis model | 90B20 | Riemann problem | singular perturbation | 35B25 | hyperbolic conservation law | delta standing wave | 35L67 | 35L65 | HYPERBOLIC SYSTEM | MATHEMATICS, APPLIED | DELTA-SHOCK-WAVES | APPROXIMATIONS | STABILITY | VISCOSITY | MECHANICS | VANISHING PRESSURE LIMIT | VACUUM STATES | DYNAMICS | CONSERVATION-LAWS | EULER EQUATIONS | Standing waves | Collapse | Conservation laws | Perturbation methods | Singular perturbation | Diffusion effects | Hyperbolic systems

chemotaxis model | 90B20 | Riemann problem | singular perturbation | 35B25 | hyperbolic conservation law | delta standing wave | 35L67 | 35L65 | HYPERBOLIC SYSTEM | MATHEMATICS, APPLIED | DELTA-SHOCK-WAVES | APPROXIMATIONS | STABILITY | VISCOSITY | MECHANICS | VANISHING PRESSURE LIMIT | VACUUM STATES | DYNAMICS | CONSERVATION-LAWS | EULER EQUATIONS | Standing waves | Collapse | Conservation laws | Perturbation methods | Singular perturbation | Diffusion effects | Hyperbolic systems

Journal Article

Transportation Research Part B, ISSN 0191-2615, 03/2014, Volume 61, pp. 73 - 97

•The on-and-off (OAO) signal model and its continuum approximation are compared.•The continuum signal model has a number of computational and modeling...

Traffic signal | Approximation error | Continuum approximation | LWR model | Vehicle spillback | Convergence | TRANSPORTATION | KINEMATIC WAVES | CELL TRANSMISSION MODEL | ENGINEERING, CIVIL | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | TRANSPORTATION SCIENCE & TECHNOLOGY | ECONOMICS | VICKREYS BOTTLENECK MODEL | DIFFERENTIAL-EQUATION FORMULATION

Traffic signal | Approximation error | Continuum approximation | LWR model | Vehicle spillback | Convergence | TRANSPORTATION | KINEMATIC WAVES | CELL TRANSMISSION MODEL | ENGINEERING, CIVIL | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | TRANSPORTATION SCIENCE & TECHNOLOGY | ECONOMICS | VICKREYS BOTTLENECK MODEL | DIFFERENTIAL-EQUATION FORMULATION

Journal Article

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ISSN 0044-2267, 11/2019, Volume 99, Issue 11, p. n/a

We consider the initial boundary value problem (IBVP) for a non‐local scalar conservation law in one space dimension. The non‐local operator in the flux...

Lax‐Friedrichs scheme | scalar conservation laws | 90B20 | 65N08 | 35L04 | non‐local flux | 65M12 | initial‐boundary value problem | 35L65 | MATHEMATICS, APPLIED | MECHANICS | BURGERS-POISSON | non-local flux | DYNAMICS | MODEL | initial-boundary value problem | FLOW | Lax-Friedrichs scheme | Operators (mathematics) | Conservation laws | Boundary value problems | Algorithms | Convolution | Dependence | Analysis of PDEs | Mathematics

Lax‐Friedrichs scheme | scalar conservation laws | 90B20 | 65N08 | 35L04 | non‐local flux | 65M12 | initial‐boundary value problem | 35L65 | MATHEMATICS, APPLIED | MECHANICS | BURGERS-POISSON | non-local flux | DYNAMICS | MODEL | initial-boundary value problem | FLOW | Lax-Friedrichs scheme | Operators (mathematics) | Conservation laws | Boundary value problems | Algorithms | Convolution | Dependence | Analysis of PDEs | Mathematics

Journal Article

Mediterranean Journal of Mathematics, ISSN 1660-5446, 10/2019, Volume 16, Issue 5, pp. 1 - 21

We consider the vanishing viscosity approximation of the traffic model LWR with degenerate diffusivity on a networks composed by a single junction with n...

compensated compactness | 90B20 | conservation law | Degenerate diffusivity | Mathematics, general | Mathematics | traffic model | vanishing viscosity | networks | 35L65 | MATHEMATICS | MATHEMATICS, APPLIED | WAVES | HYDRODYNAMIC MODELS | FLOW | Environmental law | Analysis

compensated compactness | 90B20 | conservation law | Degenerate diffusivity | Mathematics, general | Mathematics | traffic model | vanishing viscosity | networks | 35L65 | MATHEMATICS | MATHEMATICS, APPLIED | WAVES | HYDRODYNAMIC MODELS | FLOW | Environmental law | Analysis

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 2/2019, Volume 70, Issue 1, pp. 1 - 24

We study the behavior of the Aw–Rascle–Zhang model when the relaxation parameter converges to zero. In a Lagrangian setting, we use the wavefront tracking...

Engineering | Mathematical Methods in Physics | 90B20 | Temple class systems | Wavefront tracking | Decay estimates | Hyperbolic systems of conservation laws with relaxation | Theoretical and Applied Mechanics | 35L45 | Macroscopic traffic flow models | 35L65 | DERIVATION | MATHEMATICS, APPLIED | DECAY | UNIQUENESS | POSITIVE WAVES | SYSTEMS | HYPERBOLIC CONSERVATION-LAWS | GLOBAL-SOLUTIONS | Analysis of PDEs | Mathematics

Engineering | Mathematical Methods in Physics | 90B20 | Temple class systems | Wavefront tracking | Decay estimates | Hyperbolic systems of conservation laws with relaxation | Theoretical and Applied Mechanics | 35L45 | Macroscopic traffic flow models | 35L65 | DERIVATION | MATHEMATICS, APPLIED | DECAY | UNIQUENESS | POSITIVE WAVES | SYSTEMS | HYPERBOLIC CONSERVATION-LAWS | GLOBAL-SOLUTIONS | Analysis of PDEs | Mathematics

Journal Article

Queueing Systems, ISSN 0257-0130, 4/2018, Volume 88, Issue 3, pp. 389 - 407

We consider a network of parallel queues, operating under probabilistic routing, where users can choose to join either a batch service queue, or one of several...

Downs–Thomson paradox | Systems Theory, Control | Braess paradox | Probability Theory and Stochastic Processes | Queueing network | Wardrop’s equilibrium | Parallel queues | 91A13 | 91A10 | Business and Management | 90B20 | 90B15 | Operations Research/Decision Theory | 91A25 | Supply Chain Management | 60K25 | Computer Communication Networks | User equilibria | Wardrop's equilibrium | BRAESSS PARADOX | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONGESTION | Downs-Thomson paradox | SYSTEMS | QUEUING NETWORK | File servers | Batch processing | Queues

Downs–Thomson paradox | Systems Theory, Control | Braess paradox | Probability Theory and Stochastic Processes | Queueing network | Wardrop’s equilibrium | Parallel queues | 91A13 | 91A10 | Business and Management | 90B20 | 90B15 | Operations Research/Decision Theory | 91A25 | Supply Chain Management | 60K25 | Computer Communication Networks | User equilibria | Wardrop's equilibrium | BRAESSS PARADOX | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONGESTION | Downs-Thomson paradox | SYSTEMS | QUEUING NETWORK | File servers | Batch processing | Queues

Journal Article

12.
Full Text
A pedestrian flow model with stochastic velocities: Microscopic and macroscopic approaches

Kinetic and Related Models, ISSN 1937-5093, 12/2018, Volume 11, Issue 6, pp. 1333 - 1358

We investigate a stochastic model hierarchy for pedestrian flow. Starting from a microscopic social force model, where the pedestrians switch randomly between...

Numerical simulations | Hydrodynamic limit | Macroscopic pedestrian model | Interacting particle system | Stochastic processes | Mean field equations | MATHEMATICS | numerical simulations | MATHEMATICS, APPLIED | mean field equations | hydrodynamic limit | DYNAMICS | EQUATIONS | LIMIT | stochastic processes | macroscopic pedestrian model

Numerical simulations | Hydrodynamic limit | Macroscopic pedestrian model | Interacting particle system | Stochastic processes | Mean field equations | MATHEMATICS | numerical simulations | MATHEMATICS, APPLIED | mean field equations | hydrodynamic limit | DYNAMICS | EQUATIONS | LIMIT | stochastic processes | macroscopic pedestrian model

Journal Article

Journal of Nonlinear Science, ISSN 0938-8974, 8/2015, Volume 25, Issue 4, pp. 827 - 859

Nonlocal conservation laws are used to describe various realistic instances of crowd behaviors. First, a basic analytic framework is established through an ad...

90B20 | Analysis | Theoretical, Mathematical and Computational Physics | Nonlocal conservation laws | Appl.Mathematics/Computational Methods of Engineering | Mechanics | Crowd dynamics | Economic Theory | Mathematics | Car traffic | 35L65 | MATHEMATICS, APPLIED | MECHANICS | SYSTEMS | NETWORKS | PHYSICS, MATHEMATICAL | FLOW | Environmental law | Differential equations | Mathematics - Analysis of PDEs

90B20 | Analysis | Theoretical, Mathematical and Computational Physics | Nonlocal conservation laws | Appl.Mathematics/Computational Methods of Engineering | Mechanics | Crowd dynamics | Economic Theory | Mathematics | Car traffic | 35L65 | MATHEMATICS, APPLIED | MECHANICS | SYSTEMS | NETWORKS | PHYSICS, MATHEMATICAL | FLOW | Environmental law | Differential equations | Mathematics - Analysis of PDEs

Journal Article

Mathematical Programming, ISSN 0025-5610, 6/2015, Volume 151, Issue 1, pp. 117 - 151

We provide a brief introduction to the basic models used to describe traffic on congested networks, both in urban transport and telecommunications. We discuss...

Repeated games | Adaptive dynamics | Theoretical, Mathematical and Computational Physics | 90B18 | Mathematics | Stochastic travel times | Risk aversion | 91A13 | 91A35 | Mathematical Methods in Physics | Routing games | 90B20 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Network congestion | Combinatorics | 91A20 | 68M12 | TCP | MATHEMATICS, APPLIED | STABILITY | RISK | TRAFFIC ASSIGNMENT | MODEL | COMPUTER SCIENCE, SOFTWARE ENGINEERING | CONGESTION CONTROL | EXPECTED UTILITY | CHOICE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PROPORTIONAL FAIRNESS | STOCHASTIC-DOMINANCE | Travel | Analysis | Traffic congestion | Studies | Telecommunications industry | Traffic flow | Equilibrium | Transportation planning

Repeated games | Adaptive dynamics | Theoretical, Mathematical and Computational Physics | 90B18 | Mathematics | Stochastic travel times | Risk aversion | 91A13 | 91A35 | Mathematical Methods in Physics | Routing games | 90B20 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Network congestion | Combinatorics | 91A20 | 68M12 | TCP | MATHEMATICS, APPLIED | STABILITY | RISK | TRAFFIC ASSIGNMENT | MODEL | COMPUTER SCIENCE, SOFTWARE ENGINEERING | CONGESTION CONTROL | EXPECTED UTILITY | CHOICE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PROPORTIONAL FAIRNESS | STOCHASTIC-DOMINANCE | Travel | Analysis | Traffic congestion | Studies | Telecommunications industry | Traffic flow | Equilibrium | Transportation planning

Journal Article

The Annals of Applied Probability, ISSN 1050-5164, 12/2014, Volume 24, Issue 6, pp. 2527 - 2559

Motivated by queues with many servers, we study Brownian steady-state approximations for continuous time Markov chains (CTMCs). Our approximations are based on...

Ergodic theory | Liapunov functions | Approximation | Markov processes | Eigenvalues | Poisson equation | Markov chains | Diffusion coefficient | Modeling | Martingales | Halfin-Whitt regime | Markovian queues | Heavy-traffic | Steady state approximations | Many servers | Steady-state | Strong approximations for queues | CONSTRAINED DIFFUSIONS | STATISTICS & PROBABILITY | Mathematics - Probability | Halfin–Whitt regime | 49L20 | 90B20 | steady-state | many servers | 90B36 | heavy-traffic | strong approximations for queues | steady state approximations | 60K25 | 60F17

Ergodic theory | Liapunov functions | Approximation | Markov processes | Eigenvalues | Poisson equation | Markov chains | Diffusion coefficient | Modeling | Martingales | Halfin-Whitt regime | Markovian queues | Heavy-traffic | Steady state approximations | Many servers | Steady-state | Strong approximations for queues | CONSTRAINED DIFFUSIONS | STATISTICS & PROBABILITY | Mathematics - Probability | Halfin–Whitt regime | 49L20 | 90B20 | steady-state | many servers | 90B36 | heavy-traffic | strong approximations for queues | steady state approximations | 60K25 | 60F17

Journal Article

Stochastic Models, ISSN 1532-6349, 04/2013, Volume 29, Issue 2, pp. 149 - 189

The overflow priority classification approximation (OPCA) and Erlang's fixed-point approximation (EFPA) are distinct methods for estimating blocking...

Secondary 26D15, 26D05, 60K25 | Overflow priority classification | Blocking probability | Erlang fixed-point approximation (EFPA) | Overflow loss models | Teletraffic | Primary 60K30, 90B20 | Primary 60K30 | VIDEO | STATISTICS & PROBABILITY | DEMAND | 90B20 | CIRCUIT-SWITCHED NETWORKS | SYSTEMS | 60K25 | FORMULAS | Secondary 26D15 | 26D05 | MOMENTS

Secondary 26D15, 26D05, 60K25 | Overflow priority classification | Blocking probability | Erlang fixed-point approximation (EFPA) | Overflow loss models | Teletraffic | Primary 60K30, 90B20 | Primary 60K30 | VIDEO | STATISTICS & PROBABILITY | DEMAND | 90B20 | CIRCUIT-SWITCHED NETWORKS | SYSTEMS | 60K25 | FORMULAS | Secondary 26D15 | 26D05 | MOMENTS

Journal Article

Bulletin of the Brazilian Mathematical Society, New Series, ISSN 1678-7544, 6/2016, Volume 47, Issue 2, pp. 533 - 544

We present two frameworks for the description of traffic flow. First, we consider the coupling of a micro- and a macroscopic models, the former consisting in a...

macroscopic traffic models | 90B20 | Theoretical, Mathematical and Computational Physics | hyperbolic systems of conservation laws | Mathematics, general | Mathematics | 35L65 | MATHEMATICS | WAVES | Environmental law | Analysis | Models

macroscopic traffic models | 90B20 | Theoretical, Mathematical and Computational Physics | hyperbolic systems of conservation laws | Mathematics, general | Mathematics | 35L65 | MATHEMATICS | WAVES | Environmental law | Analysis | Models

Journal Article

18.
Full Text
A convergent scheme for Hamilton–Jacobi equations on a junction: application to traffic

Numerische Mathematik, ISSN 0029-599X, 3/2015, Volume 129, Issue 3, pp. 405 - 447

In this paper, we consider first order Hamilton–Jacobi (HJ) equations posed on a “junction”, that is to say the union of a finite number of half-lines with a...

Mathematical Methods in Physics | 90B20 | 35F21 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 65M06 | Appl.Mathematics/Computational Methods of Engineering | Numerical and Computational Physics | Mathematics, general | Mathematics | 65M12 | VISCOSITY SOLUTIONS | MATHEMATICS, APPLIED | WAVES | DISCONTINUOUS GALERKIN | APPROXIMATION | CONSERVATION-LAWS | MODEL | ALGORITHMS | ROAD NETWORKS | FLOW

Mathematical Methods in Physics | 90B20 | 35F21 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 65M06 | Appl.Mathematics/Computational Methods of Engineering | Numerical and Computational Physics | Mathematics, general | Mathematics | 65M12 | VISCOSITY SOLUTIONS | MATHEMATICS, APPLIED | WAVES | DISCONTINUOUS GALERKIN | APPROXIMATION | CONSERVATION-LAWS | MODEL | ALGORITHMS | ROAD NETWORKS | FLOW

Journal Article

Journal of Engineering Mathematics, ISSN 0022-0833, 12/2016, Volume 101, Issue 1, pp. 153 - 173

This paper proposes a crowd dynamic macroscopic model grounded on microscopic phenomenological observations which are upscaled by means of a formal...

Individual behaviour | Continuous crowd models | Footbridges | Collective evolution | Mathematics(all) | Engineering(all) | 90B20 | Analysis | Classical Mechanics | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | Physics | 35L65 | 35Q70 | CAHN-HILLIARD EQUATION | MACROSCOPIC PEDESTRIAN MODELS | INDUCED LATERAL VIBRATIONS | SIMULATION | BRIDGE | FLOW | EVACUATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MOTION | ENGINEERING, MULTIDISCIPLINARY | DYNAMICAL BOUNDARY-CONDITIONS | SOCIAL FORCE MODEL | Computer science

Individual behaviour | Continuous crowd models | Footbridges | Collective evolution | Mathematics(all) | Engineering(all) | 90B20 | Analysis | Classical Mechanics | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | Physics | 35L65 | 35Q70 | CAHN-HILLIARD EQUATION | MACROSCOPIC PEDESTRIAN MODELS | INDUCED LATERAL VIBRATIONS | SIMULATION | BRIDGE | FLOW | EVACUATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MOTION | ENGINEERING, MULTIDISCIPLINARY | DYNAMICAL BOUNDARY-CONDITIONS | SOCIAL FORCE MODEL | Computer science

Journal Article