A special class of univalent functions in Hele-Shaw flow problems

DOI10.1155/2011/948236zbMath1417.76019OpenAlexW1998830286WikidataQ58654559 ScholiaQ58654559MaRDI QIDQ535999

Denisa Fericean, Paula Curt

Publication date: 16 May 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/948236

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Free boundary problems for PDEs (35R35) Complex variables methods applied to problems in fluid mechanics (76M40) Other free boundary flows; Hele-Shaw flows (76D27) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (7)

Some remarks on certain invariant geometric properties in Hele-Shaw flows ⋮ On certain subclass of analytic functions with fixed point ⋮ Invariant geometric properties in Hele-Shaw flows ⋮ Hermitian-Toeplitz determinants for certain classes of close-to-convex functions ⋮ On a Hele-Shaw flow problem with free and solid boundary components ⋮ Some geometrical properties of free boundaries in the Hele-Shaw flows ⋮ Strongly \(\varPhi \)-like functions of order \(\alpha \) in two-dimensional free boundary problems

Cites Work

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• Convex dynamics in Hele-Shaw cells
• On geometrical properties of free boundaries in the Hele-Shaw flow moving boundary problem
• On the geometry of Hele-Shaw flows with small surface tension
• Univalent functions in two-dimensional free boundary problems
• Univalent functions in the dynamics of viscous flows
• Conformal and potential analysis in Hele-Shaw cells.
• On the Grunsky inequalities for univalent functions
• Geometric properties of the solutions of a Hele-Shaw type equation
• 𝜙-like analytic functions. I

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