Skeleton for the one-dimensional aggregation equation
Analysis of PDEs
2022-03-21 v2
Abstract
For the aggregation equation in , we consider the evolution of an initial density corresponding to the characteristic function of some set . We study the limit measure at the blow up time 1 for open or compact and we inspect the limit set (skeleton) where this measure is supported.
Keywords
Cite
@article{arxiv.2112.14095,
title = {Skeleton for the one-dimensional aggregation equation},
author = {Juan Carlos Cantero and Joan Orobitg},
journal= {arXiv preprint arXiv:2112.14095},
year = {2022}
}
Comments
v2: the introduction has been improved and the statement of the theorems is done for a more general situation