Blow-up and global existence for a kinetic equation of swarm formation

Miroslaw Lachowicz (1) , Henryk Leszczyński (2) , Martin Parisot (3)

1 Institute of Mathematics [Warsaw]
2 Institute of Mathematics [Univ Gdańsk]
3 ANGE - Numerical Analysis, Geophysics and Ecology

In the present paper we study possible blow–ups and global existence for a kinetic equation that describes swarm formations in the variable interacting rate case.

Mots clés: Kinetic equations; Global existence; Blow–up

Domaines: Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]; Physique mathématique [math-ph]

Miroslaw Lachowicz, Henryk Leszczyński, Martin Parisot. Blow-up and global existence for a kinetic equation of swarm formation. Mathematical Models and Methods in Applied Sciences, 2017, 27 (6), pp.22. ⟨10.1142/S0218202517400115⟩. ⟨hal-01370006⟩