An analytical framework to describe the interactions between individuals and a continuum

DOI10.1007/s00332-011-9107-0zbMath1241.35208arXiv1010.0978OpenAlexW3100114477MaRDI QIDQ431797

Rinaldo M. Colombo, Magali Lécureux-Mercier

Publication date: 3 July 2012

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0978

zbMATH Keywords

conservation lawsordinary differential equationsmixed PDE-ODE problems

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Hyperbolic conservation laws (35L65) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (14)

Optimal control of continuity equations ⋮ Conservation laws with a non-local flow application to pedestrian traffic ⋮ Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow ⋮ Optimal control for the evolution of deterministic multi-agent systems ⋮ Control problems for a class of set valued evolutions ⋮ Mixed systems: ODEs-balance laws ⋮ On the modeling of moving populations through set evolution equations ⋮ Differential equations modeling crowd interactions ⋮ Modeling and control through leadership of a refined flocking system ⋮ Nonsmooth feedback control for multi-agent dynamics ⋮ Invisible Control of Self-Organizing Agents Leaving Unknown Environments ⋮ Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives ⋮ Approximation of Sweeping Processes and Controllability for a Set-Valued Evolution ⋮ Weak Measure-Valued Solutions of a Nonlinear Hyperbolic Conservation Law

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