Granular media equation with double-well external landscape: limiting steady state
Analysis of PDEs
2022-03-01 v1
Abstract
In this paper, we give a simple condition on the initial state of the granular media equation which ensures that the limit as the time goes to infinity is the unique steady state with positive center of mass. To do so, we use functional inequalities, Laplace method and McKean-Vlasov diffusion (which corresponds to the probabilistic interpretation of the granular media equation).
Keywords
Cite
@article{arxiv.2202.13395,
title = {Granular media equation with double-well external landscape: limiting steady state},
author = {Julian Tugaut},
journal= {arXiv preprint arXiv:2202.13395},
year = {2022}
}
Comments
6 pages