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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
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt
Abstract : 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.
Keywords : Global existence Kinetic equations Blow–up
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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, World Scientific Publishing, 2017, 27 (6), pp.22. ⟨10.1142/S0218202517400115⟩. ⟨hal-01370006⟩

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