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Liquid Bridges Between Balls: The Small Volume Instability
- 作者:Thomas I. Vogel (1)
- 关键词:Primary 76B45 ; Secondary 53A10
- 刊名:Journal of Mathematical Fluid Mechanics
- 出版年:2013
- 出版时间:June 2013
- 年:2013
- 卷:15
- 期:2
- 页码:397-413
- 全文大小:555KB
- 参考文献:1. Birkhoff G., Rota J.-C.: Ordinary Differential Equations. 4th edn. Wiley, New York, NY (1989)
2. Concus P., Finn R.: The shape of a pendent liquid drop. Philos. Trans. R. Soc. Lond. 292(1391), 309鈥?40 (1979) 3. Courant R., Hilbert D.: Methods of Mathematical Physics, vol. 1. Interscience Publishers, New York, NY (1953) 4. Finn R.: Equilibrium Capillary Surfaces. Springer, New York, NY (1986) CrossRef 5. Gray A.: Modern Differential Geometry of Curves and Surfaces. CRC Press, Boca Raton, FL (1993) 6. Krantz S.G., Parks H.R.: The Implicit Function Theorem. Birkh盲user, Boston, MA (2002) 7. Krantz S.G., Parks H.R.: A Primer of Real Analytic Functions, 2nd edn. Birkh盲user, Boston, MA (2002) 76-8134-0">CrossRef 8. Spivak M.: A Comprehensive Introduction to Differential Geometry. 3rd edn. Publish or Perish, Inc., Houston, TX (1999) 9. Vogel T.I.: Stability of a liquid drop trapped between two parallel planes II: general contact angles. SIAM J. Appl. Math. 49(4), 1009鈥?028 (1989) CrossRef 10. Vogel T.I.: Stability and bifurcation of a surface of constant mean curvature in a wedge. Indiana Univ. Math. J. 41(3), 625鈥?48 (1992) CrossRef 11. Vogel T.I.: Sufficient conditions for capillary surfaces to be energy minima. Pac. J. Math. 194(2), 469鈥?89 (2000) CrossRef 12. Vogel T.I.: Local energy minimality of capillary surfaces in the presence of symmetry. Pac. J. Math. 206(2), 487鈥?09 (2002) CrossRef 13. Vogel, T.I.: Comments on radially symmetric liquid bridges with inflected profiles. Dyn. Contin. Discret. Impuls. Syst. B (Suppl), 862鈥?67 (2005) 14. Vogel, T.I.: Convex, rotationally symmetric liquid bridges between spheres. Pac. J. Math. 2, 367鈥?77 (2006) 15. Wente H.C.: The stability of the axially symmetric pendent drop. Pac. J. Math. 88, 421鈥?70 (1980) CrossRef
- 作者单位:Thomas I. Vogel (1)
1. Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA
- ISSN:1422-6952
文摘
Stability for a liquid bridge between two solid balls is studied by cutting and scaling pieces of a standardized family of Delaunay surfaces. This theoretical framework is used to analyze the problem numerically.
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