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Approximating annular
capillary surfaces with equal contact angles
James Gordon and David Siegel |
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Vol. 247 (2010), No. 2, 371–387
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Abstract |
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Consider an annular region Ω ⊂ ℝ2. We extend the iterative procedure of Siegel to the case of symmetric capillary surfaces z = u(x,y) formed within the annular cylinder Ω × ℝ and having identical contact angles γ along the inner and outer boundaries. We demonstrate convergence under conditions that include γ = 0, and we recover the interleaving properties noted by Siegel for a particular geometry. |
Keywords
annular capillary surface, iterative approximations
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Mathematical Subject Classification 2000
Primary: 34B15, 35J25, 76B45
Secondary: 34E10
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Milestones
Received: 8 January 2009
Accepted: 12 April 2010
Published: 11 August 2010
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Authors |
| James Gordon | |
| Department of Applied
Mathematics University of Waterloo Waterloo, Ontario N2L 3G1 Canada |
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| David Siegel | |
| Department of Applied
Mathematics University of Waterloo Waterloo, Ontario N2L 3G1 Canada |
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