A CAPILLARITY PROBLEM FOR COMPRESSIBLE LIQUIDS

被引：5

作者：

Athanassenas, Maria ^{[1
]}

Clutterbuck, Julie ^{[2
]}

机构：

[1] Monash Univ, Sch Math Sci, Clayton, Vic 3800, Australia

[2] Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2009年 / 243卷 / 02期

关键词：

capillarity; function of bounded variation; compressible liquid; EXISTENCE; REGULARITY; EQUATIONS;

D O I：

10.2140/pjm.2009.243.213

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：213 / 232

页数：20

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