Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630538 | Applied Mathematics and Computation | 2012 | 8 Pages |
Abstract
In this paper we apply certain results in the theory of univalent functions to investigate the time evolution of the free boundary of a viscous fluid for a planar flow problem in the Hele–Shaw cell model under injection. To this end, we prove that the property of strongly Φ-likeness of order α ∈ (0, 1] is preserved in time for both inner and outer problems, under the assumption of nonzero small surface tension.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Denisa Fericean,