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Zeitschrift für Analysis und ihre Anwendungen

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Volume 11, Issue 1, 1992, pp. 3–23
DOI: 10.4171/ZAA/630

Published online: 1992-03-31

On the Volume Infimum for Liquid Bridges

Robert Finn[1] and Thomas Vogel[2]

(1) Stanford University, USA
(2) Texas A&M University, College Station, USA

We consider the "Carter conjecture", that any stable liquid bridge in zero gravity, joining two parallel plates separated by a distance h and meeting each plate with constant angle, has volume greater than or equal to $h^3/_\{pi}$. We prove the conjecture in the case of the two contact angles being equal.

Keywords: Capillarity, meat, curvature, liquid bridge

Finn Robert, Vogel Thomas: On the Volume Infimum for Liquid Bridges. Z. Anal. Anwend. 11 (1992), 3-23. doi: 10.4171/ZAA/630