Open Access
2011 A Special Class of Univalent Functions in Hele-Shaw Flow Problems
Paula Curt, Denisa Fericean
Abstr. Appl. Anal. 2011: 1-10 (2011). DOI: 10.1155/2011/948236


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.


Download Citation

Paula Curt. Denisa Fericean. "A Special Class of Univalent Functions in Hele-Shaw Flow Problems." Abstr. Appl. Anal. 2011 1 - 10, 2011.


Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 05888162
MathSciNet: MR2793786
Digital Object Identifier: 10.1155/2011/948236

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
Back to Top