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.
@article{bwmeta1.element.ojs-doi-10_17951_a_2016_70_1_47,
author = {Krzysztof Pilorz},
title = {A kinetic equation for repulsive coalescing random jumps in continuum},
journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
volume = {70},
year = {2016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2016_70_1_47}
}
Krzysztof Pilorz. A kinetic equation for repulsive coalescing random jumps in continuum. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 70 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2016_70_1_47/
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