Variational principle for weighted porous media equation
Probability
2013-10-14 v1
Abstract
In this paper we state the variational principle for the weighted porous media equation. It extends V.I. Arnold's approach to the description of Euler flows as a geodesics on some manifold, i.e. as a critical points of some energy functional.
Keywords
Cite
@article{arxiv.1310.3098,
title = {Variational principle for weighted porous media equation},
author = {Alexandra Antoniouk and Marc Arnaudon},
journal= {arXiv preprint arXiv:1310.3098},
year = {2013}
}