Weak compactness techniques and coagulation equations
Analysis of PDEs
2018-06-22 v1
Abstract
Smoluchowski's coagulation equation is a mean-field model describing the growth of clusters by successive mergers. Since its derivation in 1916 it has been studied by several authors, using deterministic and stochastic approaches, with a blossoming of results in the last twenty years. In particular, the use of weak -compactness techniques led to a mature theory of weak solutions and the purpose of these notes is to describe the results obtained so far in that direction, as well as the mathematical tools used.
Keywords
Cite
@article{arxiv.1801.08312,
title = {Weak compactness techniques and coagulation equations},
author = {Philippe Laurençot},
journal= {arXiv preprint arXiv:1801.08312},
year = {2018}
}