Extended least action principle for steady flows under a prescribed flux
Analysis of PDEs
2007-05-23 v1
Abstract
The extended principle of minimal action is described in the presence of prescribed source and sink points. Under the assumption of zero net flux, it leads to an optimal Monge-Kantorovich transport problem of metric type. We concentrate on action corresponding to a mecahnical Lagrangian. The optimal solution turns out to be a measure supprted on a graph composed of geodesic arcs connecting pairs of sources and sinks.
Keywords
Cite
@article{arxiv.math/0507241,
title = {Extended least action principle for steady flows under a prescribed flux},
author = {G. Wolansky},
journal= {arXiv preprint arXiv:math/0507241},
year = {2007}
}
Comments
18 pages