Congested transport at microscopic and macroscopic scales

DOI10.4171/176-1/20zbMath1404.35451OpenAlexW2727404079MaRDI QIDQ1620860

Bertrand Maury

Publication date: 14 November 2018

Full work available at URL: https://doi.org/10.4171/176-1/20

zbMATH Keywords

transport equationscrowd motion

Mathematics Subject Classification ID

Traffic problems in operations research (90B20) PDEs in connection with mathematical programming (35Q90)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Time-evolving measures and macroscopic modeling of pedestrian flow
• Congestion in a macroscopic model of self-driven particles modeling gregariousness
• Evolution problem associated with a moving convex set in Hilbert space
• Sweeping process with regular and nonregular sets.
• Macroscopic modeling and simulations of room evacuation
• Handling congestion in crowd motion modeling
• Transport equation with nonlocal velocity in Wasserstein spaces: convergence of numerical schemes
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• BV solutions of nonconvex sweeping process differential inclusion with perturbation
• Riemann problems with non-local point constraints and capacity drop
• A discrete contact model for crowd motion
• A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE
• ON THE MODELLING CROWD DYNAMICS FROM SCALING TO HYPERBOLIC MACROSCOPIC MODELS
• The Variational Formulation of the Fokker--Planck Equation
• T<scp>HE</scp> F<scp>LOW OF</scp> H<scp>UMAN</scp> C<scp>ROWDS</scp>
• A Pedestrian Movement Model That Takes into Account the Capacity Drop Phenomenon in the Motion of Crowd
• Crowd motion from the granular standpoint
• Quasi-static evolution and congested crowd transport
• The Keller--Segel Model with Logistic Sensitivity Function and Small Diffusivity