A kinetic equation for repulsive coalescing random jumps in continuum
Dynamical Systems
2015-09-22 v1 Probability
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 the solutions of the corresponding kinetic equation are proved.
Cite
@article{arxiv.1509.06015,
title = {A kinetic equation for repulsive coalescing random jumps in continuum},
author = {Krzysztof Pilorz},
journal= {arXiv preprint arXiv:1509.06015},
year = {2015}
}