A mean field type flow
Analysis of PDEs
2012-12-11 v1
Abstract
We consider a gradient flow related to the mean field type equation. First, we show that this flow exists for all time. Next, we prove a compactness result for this flow allowing us to get, under suitable hypothesis on its energy, the convergence of the flow to a solution of the mean field type equation. We also get a divergence result if the energy of the initial data is largely negative.
Cite
@article{arxiv.1212.1857,
title = {A mean field type flow},
author = {Jean-Baptiste Castéras},
journal= {arXiv preprint arXiv:1212.1857},
year = {2012}
}