A CAPILLARITY PROBLEM FOR COMPRESSIBLE LIQUIDS

被引：4
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.
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页码：213 / 232
页数：20
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