A capillarity problem for compressible liquids

Maria Athanassenas; Julie Clutterbuck

doi:10.2140/pjm.2009.243.213

A capillarity problem for compressible liquids

Maria Athanassenas^*, Julie Clutterbuck

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We study the 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 introduced recently by Robert Finn can be defined. We prove existence of a locally Lipschitz minimizer in this class.

Original language	English
Pages (from-to)	213-232
Number of pages	20
Journal	Pacific Journal of Mathematics
Volume	243
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2009.243.213
Publication status	Published - Dec 2009

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title = "A capillarity problem for compressible liquids",

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KW - Capillarity

KW - Compressible liquid

KW - Function of bounded variation

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A capillarity problem for compressible liquids

Abstract

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