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
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