Stability of anisotropic capillary surfaces between two parallel planes

被引：23
|
作者：
Koiso, M [1 ]
Palmer, B
机构：
[1] Nara Womens Univ, Dept Math, Nara 6308506, Japan
[2] Idaho State Univ, Dept Math, Pocatello, ID 83209 USA
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2006年 / 25卷 / 03期
关键词：
D O I：
10.1007/s00526-005-0336-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the stability of capillary surfaces without gravity for anisotropic free surface energies. For a large class of rotationally symmetric energy functionals, it is shown that the only stable equilibria supported on parallel planes are either cylinders or a part of the Wulff shape.
引用
收藏
页码：275 / 298
页数：24
相关论文
共 50 条
  • [31] Phase diagram of a tubular vesicle adhering between two parallel rigid planes
    Zhou, Xiaohua
    Zhao, Shumin
    Zhai, Xiaobo
    Zhang, Kai
    Chen, Huawei
    Zhang, Shengli
    PHYSICAL REVIEW E, 2016, 93 (04)
  • [32] HARTMANN FLOW BETWEEN PARALLEL PLANES
    TODD, L
    PHYSICS OF FLUIDS, 1966, 9 (08) : 1602 - &
  • [33] Uniqueness theorems for stable anisotropic capillary surfaces
    Koiso, Miyuki
    Palmer, Bennett
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2007, 39 (03) : 721 - 741
  • [34] Simulation of a Flexible Polymer Confined between Two Parallel Surfaces
    Li, Hong
    Qian, Chang-Ji
    Luo, Meng-Bo
    POLYMERS & POLYMER COMPOSITES, 2012, 20 (1-2): : 107 - 110
  • [35] Asymptotic behavior of minimal surfaces bounded by two Jordan curves in parallel planes (in 3-space)
    Galotta, R
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1998, 1A : 39 - 42
  • [36] CAPILLARY FORCES BETWEEN TWO PARALLEL PLATES CONNECTED BY A LIQUID BRIDGE
    Dejam, Morteza
    Hassanzadeh, Hassan
    Chen, Zhangxin
    JOURNAL OF POROUS MEDIA, 2015, 18 (03) : 179 - 188
  • [37] Effects of Geometric Confinement on Zero-Gravity Droplets between Two Parallel Planes
    Lv, Cunjing
    Zhang, Bin
    Shi, Songlin
    Hao, Pengfei
    LANGMUIR, 2020, 36 (43) : 12838 - 12848
  • [38] Motion control of a snake robot moving between two non-parallel planes
    Nakajima, Mizuki
    Tanaka, Motoyasu
    Tanaka, Kazuo
    Matsuno, Fumitoshi
    ADVANCED ROBOTICS, 2018, 32 (10) : 559 - 573
  • [39] ELECTROSTATIC FIELD OF AN OPEN SPHERICAL SHELL BETWEEN TWO PARALLEL CONDUCTING PLANES.
    Protsenko, V.S.
    Nikolaev, A.G.
    1600, (28):
  • [40] Stability diagrams for disconnected capillary surfaces
    Slobozhanin, LA
    Alexander, JID
    PHYSICS OF FLUIDS, 2003, 15 (11) : 3532 - 3545
12345