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

By Miroslaw Lachowicz, Henryk Leszczyński and Martin Parisot

Abstract

International audienceIn the present paper we identify both blow–up and global existence behaviors for a simple but very rich kinetic equation describing of a swarm formation

Topics: Blow – up, Global existence, Kinetic equation, [ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP], [ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]
Publisher: Elsevier
Year: 2016
DOI identifier: 10.1016/j.aml.2016.01.008
OAI identifier: oai:HAL:hal-01241998v1
Provided by: Hal-Diderot

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