• Title of article

    The Muskat problem with surface tension and a nonregular initial interface Original Research Article

  • Author/Authors

    Borys V. Bazaliy، نويسنده , , Nataliya Vasylyeva، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2011
  • Pages
    23
  • From page
    6074
  • To page
    6096
  • Abstract
    In this paper, we consider the two-dimensional Muskat problem with surface tension on a free boundary. The initial shape of the unknown interface has a corner point. We prove that the problem has a unique solution in the weighted Hölder classes locally in time and specify the sufficient conditions for the existence of the “waiting time” phenomenon.
  • Keywords
    Laplace equation , Surface tension , Weighted H?lder spaces , Waiting time , Muskat problem , Free boundary problems
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Serial Year
    2011
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Record number

    863384