On the geometry of Hele-Shaw flows with small surface tension

DOI10.4171/IFB/77zbMath1028.35124OpenAlexW2117785072MaRDI QIDQ1395976

Irina Markina, Alexander Vasil'ev

Publication date: 29 June 2003

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ifb/77

zbMATH Keywords

surface tensionHele-Shaw flowmethods of conformal map

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (13)

Some remarks on certain invariant geometric properties in Hele-Shaw flows ⋮ Invariant geometric properties in Hele-Shaw flows ⋮ INTEGRAL MEANS AND DIRICHLET INTEGRAL FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS ⋮ The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow ⋮ INTEGRAL MEANS AND MAXIMUM AREA INTEGRAL PROBLEMS FOR CERTAIN FAMILY OF p-VALENT FUNCTIONS ⋮ Some geometrical properties of free boundaries in the Hele-Shaw flows ⋮ Strongly \(\varPhi \)-like functions of order \(\alpha \) in two-dimensional free boundary problems ⋮ On integral means for starlike and spiral-like functions ⋮ Editorial. Dedication to Alexander Vasil'ev (1962--2016) ⋮ A special class of univalent functions in Hele-Shaw flow problems ⋮ Integral means and Dirichlet integral for analytic functions ⋮ On the displacement of two immiscible Oldroyd-B fluids in a Hele-Shaw cell ⋮ Integral means and Yamashita's conjecture associated with the Janowski type \((j, k)\)-symmetric starlike functions

This page was built for publication: On the geometry of Hele-Shaw flows with small surface tension