Vol. 247, No. 2, 2010

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Properties of annular capillary surfaces with equal contact angles

James Gordon and David Siegel

Vol. 247 (2010), No. 2, 353–370
Abstract

We consider an annular region Ω 2 and analyze the capillary surface z = u(x,y) formed within an annular cylinder Ω × . 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
Mathematical Subject Classification 2000
Primary: 34B15, 35J25, 76B45
Secondary: 34E10
Milestones
Received: 8 January 2009
Accepted: 12 April 2010
Published: 11 August 2010
Authors
James Gordon
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario N2L 3G1
Canada
David Siegel
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario N2L 3G1
Canada