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Properties of annular
capillary surfaces with equal contact angles
James Gordon and David Siegel |
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Vol. 247 (2010), No. 2, 353–370
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Abstract |
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We consider an annular region Ω ⊂ ℝ2 and analyze the capillary surface z = u(x,y) formed within an annular cylinder Ω × ℝ. Assuming identical contact angles γ along the inner and outer boundaries, we determine several qualitative properties of the surface. In particular, we examine the behavior of u in the limiting cases of Ω approaching a disk, a thin ring, and the exterior of a disk. |
Keywords
annular capillary surface, qualitative, asymptotic
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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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