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Continuous and Discontinuous Disappearance of Capillary Surfaces

In: Variational Methods for Free Surface Interfaces

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  • Paul Concus
  • Robert Finn

Abstract

We consider the problem of finding a capillary surface u(x) in a cylinder Z with section Ω, in the absence of gravity. The surface is to meet Z in (constant) contact angle γ and project simply onto Ω. It is known that to each Ω there exists a critical angle γ0 ∈ [0, π/2] such that a surface exists if γ0

Suggested Citation

  • Paul Concus & Robert Finn, 1987. "Continuous and Discontinuous Disappearance of Capillary Surfaces," Springer Books, in: Paul Concus & Robert Finn (ed.), Variational Methods for Free Surface Interfaces, pages 197-204, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-4656-5_23
    DOI: 10.1007/978-1-4612-4656-5_23
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