Smoluchowski coagulation equation with velocity dependence
Analysis of PDEs
2022-11-15 v1 Mathematical Physics
math.MP
Abstract
In the present article we introduce a variant of Smoluchowski's coagulation equation with both position and velocity variables taking a kinetic viewpoint arising as the scaling limit of a system of second-order (microscopic) coagulating particles. We focus on the rigorous study of the PDE system in the spatially-homogeneous case proving existence and uniqueness under different initial conditions in suitable weighted space, investigating also the regularity of such solutions.
Cite
@article{arxiv.2211.06693,
title = {Smoluchowski coagulation equation with velocity dependence},
author = {Franco Flandoli and Ruojun Huang and Andrea Papini},
journal= {arXiv preprint arXiv:2211.06693},
year = {2022}
}
Comments
38 pages, single column