A kinetic equation for repulsive coalescing random jumps in continuum

Pilorz, Krzysztof

Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 70 (2016) no. 1.

Résumé

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.

Détail

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

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