A Special Class of Univalent Functions in Hele-Shaw Flow Problems
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We study the time evolution of the free boundary of a viscous fluid for planar flows in Hele-Shaw cells under injection.
Applying methods from the theory of univalent functions, we prove the invariance in time of Φ-likeness property (a geometric property which includes starlikeness and spiral-likeness) for two basic cases: the inner problem and the outer problem.
We study both zero and nonzero surface tension models.
Certain particular cases are also presented.
American Psychological Association (APA)
Curt, Paula& Fericean, Denisa. 2011. A Special Class of Univalent Functions in Hele-Shaw Flow Problems. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-510543
Modern Language Association (MLA)
Curt, Paula& Fericean, Denisa. A Special Class of Univalent Functions in Hele-Shaw Flow Problems. Abstract and Applied Analysis No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-510543
American Medical Association (AMA)
Curt, Paula& Fericean, Denisa. A Special Class of Univalent Functions in Hele-Shaw Flow Problems. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-510543
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510543
