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Title

A kinetic equation for repulsive coalescing random jumps in continuum

Authors

Abstract

A continuum individual-based model of hopping and coalescing particles is introduced and studied. Its microscopic dynamics are described by a hierarchy of evolution equations obtained in the paper. Then the passage from the micro- to mesoscopic dynamics is performed by means of a Vlasov-type scaling. The existence and uniqueness of solutions of the corresponding kinetic equation are proved.

Keywords

ENG
Coalescence, coagulation, hopping particles, individual-based model, configuration spaces, infinite particle system, microscopic dynamics, Vlasov scaling, kinetic equation

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Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
2016/70/1
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Main language of publication
English
Published
2016
Published online
2016-07-04

DOI: 10.17951/a.2016.70.1.47

Exact and natural sciences