A simple kinetic equation of swarm formation: blow-up and global existence

DOI10.1016/J.AML.2016.01.008zbMath1342.35052OpenAlexW2273814355MaRDI QIDQ253928

Henryk Leszczyński, Mirosław Lachowicz, Martin Parisot

Publication date: 8 March 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.01.008

zbMATH Keywords

blow-upglobal existencekinetic equationspace homogeneous case

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Boltzmann equations (35Q20)

Related Items (6)

Population of entities with three individual states and asymmetric interactions ⋮ Continuum dynamics of the intention field under weakly cohesive social interaction ⋮ Method of Lines for a Kinetic Equation of Swarm Formation ⋮ Self-organization with small range interactions: equilibria and creation of bipolarity ⋮ Approximations of kinetic equations of swarm formation: convergence and exact solutions ⋮ Blow-up and global existence for a kinetic equation of swarm formation

Cites Work

• Unnamed Item
• A kinetic model for the formation of swarms with nonlinear interactions
• Trail formation based on directed pheromone deposition
• Methods of small parameter in mathematical biology
• ON A MACROSCOPIC LIMIT OF A KINETIC MODEL OF ALIGNMENT

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