A kinetic equation for repulsive coalescing random jumps in continuum

Krzysztof Pilorz

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


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

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References


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DOI: http://dx.doi.org/10.17951/a.2016.70.1.47
Data publikacji: 2016-07-04 15:44:01
Data złożenia artykułu: 2016-07-04 12:16:57

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