Asymptotics of the Sticky Particles evolution
Analysis of PDEs
2023-11-08 v1
Abstract
We study the long-time asymptotic behavior of the Sticky Particles dynamics on the real line. The time average of the Sticky Particles Lagrangian map has a limit which arises as a general property of projections onto closed convex cones in Hilbert spaces. More notably, we prove that the map itself has an asymptotic limit in the case where the Sticky Particles dynamics is confined to a compact set.
Cite
@article{arxiv.2311.03582,
title = {Asymptotics of the Sticky Particles evolution},
author = {Ryan Hynd and Adrian Tudorascu},
journal= {arXiv preprint arXiv:2311.03582},
year = {2023}
}