Continuous limit of a crowd motion and herding model: analysis and numerical simulations

DOI10.3934/krm.2011.4.1025zbMath1347.35128OpenAlexW2327277419MaRDI QIDQ429036

Peter Alexander Markowich, Martin Burger, Jan-Frederik Pietschmann

Publication date: 25 June 2012

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2011.4.1025

zbMATH Keywords

asymptotic analysiscontinuum modelcrowd motionherding

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Models of societies, social and urban evolution (91D10) Cell movement (chemotaxis, etc.) (92C17) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Initial-boundary value problems for second-order parabolic systems (35K51)

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Uses Software

• MersenneTwister
• Netgen

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