A capillarity problem for compressible liquids

Maria Athanassenas, Julie Clutterbuck

Research output: Contribution to journalArticleResearchpeer-review

3 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 languageEnglish
Pages (from-to)213 - 232
Number of pages20
JournalPacific Journal of Mathematics
Volume243
Issue number2
Publication statusPublished - 2009

Cite this

Athanassenas, Maria ; Clutterbuck, Julie. / A capillarity problem for compressible liquids. In: Pacific Journal of Mathematics. 2009 ; Vol. 243, No. 2. pp. 213 - 232.
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A capillarity problem for compressible liquids. / Athanassenas, Maria; Clutterbuck, Julie.

In: Pacific Journal of Mathematics, Vol. 243, No. 2, 2009, p. 213 - 232.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Clutterbuck, Julie

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AB - 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.

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JF - Pacific Journal of Mathematics

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