Compressible fluids in a capillary tube

被引：7
作者：
Athanassenas, Maria
Finn, Robert
机构：
[1] Monash Univ, Sch Math Sci, Melbourne, Vic 3800, Australia
[2] Stanford Univ, Dept Math, Stanford, CA 94305 USA
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2006年 / 224卷 / 02期
关键词：
capillary surfaces; capillary tube; mean curvature; compressible fluid; elliptic nonlinear second-order PDE;
D O I：
10.2140/pjm.2006.224.201
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a mathematical model for a compressible liquid in a capillary tube. We establish necessary and sufficient conditions for existence and for uniqueness or near uniqueness of solutions, and we provide general height estimates for solutions, depending on the geometrical structure of the definition domain. We show that solutions exhibit discontinuous dependence properties in domains with corners, analogous to those that are known for the classical capillarity equation.
引用
收藏
页码：201 / 229
页数：29
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