The Capillarity Problem for Compressible Liquids
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
In this paper we study existence and regularity of solutions to the capillarity problem for compressible liquids in a tube. We introduce an appropriate space of functions of bounded variation, in which the energy functional recently introduced by Robert Finn can be defined. We prove existence of a locally Lipschitz minimiser in this class.
Keywords
Cite
@article{arxiv.math/0612536,
title = {The Capillarity Problem for Compressible Liquids},
author = {Maria Athanassenas and Julie Clutterbuck},
journal= {arXiv preprint arXiv:math/0612536},
year = {2007}
}
Comments
15 pages