• Login
    View Item 
    •   Shocker Open Access Repository Home
    • Fairmount College of Liberal Arts and Sciences
    • Mathematics, Statistics, and Physics
    • MATH Research Publications
    • View Item
    •   Shocker Open Access Repository Home
    • Fairmount College of Liberal Arts and Sciences
    • Mathematics, Statistics, and Physics
    • MATH Research Publications
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Behavior of some CMC capillary surfaces at convex corners

    View/Open
    Article (207.8Kb)
    Date
    2006-04
    Author
    Crenshaw, Julie N.
    Lancaster, Kirk E.
    Metadata
    Show full item record
    Citation
    Crenshaw, Julie and Kirk Lancaster. 2006. Behavior of some CMC capillary surfaces at convex corners. Pacific Journal of Mathematics.
    Abstract
    We construct examples of nonparametric surfaces z = h(x, y) of zero mean curvature which satisfy contact angle boundary conditions in a cylinder in R3 over a convex domain with corners. When the contact angles for two adjacent walls of the cylinder differ by more than −2 , where 2 is the opening angle between the walls, the (bounded) solution h is shown to be discontinuous at the corresponding corner. This is exactly the behavior predicted by the Concus–Finn conjecture. These examples currently constitute the largest collection of capillary surfaces for which the validity of the Concus–Finn conjecture is known and, in particular, provide examples for all contact angle data satisfying the condition above for opening angles 2 2 ( /2, ).
    Description
    Click on the link to access the article (may not be free)
    URI
    http://msp.org/pjm/2006/224-2/p03.xhtml
    http://hdl.handle.net/10057/5878
    Collections
    • MATH Research Publications

    Browse

    All of Shocker Open Access RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsBy TypeThis CollectionBy Issue DateAuthorsTitlesSubjectsBy Type

    My Account

    LoginRegister

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    DSpace software copyright © 2002-2023  DuraSpace
    DSpace Express is a service operated by 
    Atmire NV