Method of Lines for a Kinetic Equation of Swarm Formation

DOI10.1007/978-3-030-46079-2_14zbMath1494.65090OpenAlexW3035305181MaRDI QIDQ5115935

Adrian Karpowicz, Henryk Leszczyński

Publication date: 21 August 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-46079-2_14

zbMATH Keywords

stabilitymethod of lineskinetic equationGauss-Hermite quadrature

Mathematics Subject Classification ID

Animal behavior (92D50) Blow-up in context of PDEs (35B44) Boltzmann equations (35Q20) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Cites Work

• A simple kinetic equation of swarm formation: blow-up and global existence
• A kinetic model for the formation of swarms with nonlinear interactions
• Numerical methods for kinetic equations
• Blow-up and global existence for a kinetic equation of swarm formation