A Special Class of Univalent Functions in Hele‐Shaw Flow Problems | Zendy

Paula Curt | Zendy; Denisa Fericean | Zendy

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A Special Class of Univalent Functions in Hele‐Shaw Flow Problems

Author(s) -

Paula Curt,

Denisa Fericean

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/948236

Subject(s) - mathematics , boundary (topology) , class (philosophy) , property (philosophy) , spiral (railway) , flow (mathematics) , planar , pure mathematics , mathematical analysis , calculus (dental) , geometry , computer science , artificial intelligence , medicine , philosophy , computer graphics (images) , dentistry , epistemology

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

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