The Capillarity Problem for Compressible Liquids

Details The Capillarity Problem for Compressible Liquids The Capillarity Problem for Compressible Liquids

2006-12-19

arxiv.org/abs/math/0612536v1

Mathematics

Analysis of PDEs

15 pages

Scientific paper

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.

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