Capillary wedges revisited

被引：30

作者：

Concus, P

Finn, R

机构：

[1] UNIV CALIF BERKELEY,DEPT MATH,BERKELEY,CA 94720

[2] STANFORD UNIV,DEPT MATH,STANFORD,CA 94305

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1996年 / 27卷 / 01期

关键词：

capillarity; contact angle; free surface; mean curvature; microgravity; wedge domain;

D O I：

10.1137/S0036141093247482

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Equilibrium capillary surfaces in zero gravity in cylindrical containers whose sections are (wedge) domains with corners are studied. Necessary and also sufficient conditions are developed for the existence or nonexistence of surfaces that are locally graphs over the base at the corner, with (prescribed) contact angles that may differ on the two sides. It is shown that the behavior can depart in significant qualitative ways from that which occurs when the two contact angles are the same. Conditions are derived under which such qualitative changes must occur, and illustrative examples are given.

引用

页码：56 / 69

页数：14

共 18 条

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[3]

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[9]

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[10]

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