Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901242 | Applied Mathematics and Computation | 2018 | 9 Pages |
Abstract
In this paper, we are concerned with certain geometric properties of the moving boundary in the case of two-dimensional viscous fluid flows in Hele-Shaw cells under injection. We study the invariance in time of free boundary for such a bounded flow domain under the assumption of zero surface tension. By applying various results in the theory of univalent functions, we consider the invariance in time of starlikeness of a complex order, almost starlikeness of order αâ¯ââ¯[0, 1), and almost spirallikeness of type γâ(âÏ/2,Ï/2) and order αâ¯ââ¯(0, cosâγ). This work complements recent work on planar Hele-Shaw flow problems in the case of zero surface tension.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Paula Curt, Mirela Kohr,