An exact solution to the one-phase zero-surface-tension Hele-Shaw free- boundary problem

DOI10.1016/0898-1221(95)00044-YzbMath0827.76017WikidataQ58267254 ScholiaQ58267254MaRDI QIDQ1894199

C. Huntingford

Publication date: 13 December 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

nonexistencecritical timeSchwarz functionGalin equationsingle source/sink

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Conformal mappings of special domains (30C20) Free boundary problems for PDEs (35R35)

Related Items (6)

On a Saffman–Taylor problem in an infinite wedge ⋮ Classification of degree three polynomial solutions to the Polubarinova–Galin equation ⋮ Strongly \(\varPhi \)-like functions of order \(\alpha \) in two-dimensional free boundary problems ⋮ Conserved quantities in Stokes flow with free surfaces ⋮ Large-time rescaling behaviours of Stokes and Hele-Shaw flows driven by injection ⋮ Exact real trinomial solutions to the inner and outer Hele-Shaw problems

Cites Work

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• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Cusp Development in Hele–Shaw Flow with a Free Surface
• Viscous fingering in Hele-Shaw cells
• Complex variable methods in Hele–Shaw moving boundary problems
• A MODEL FOR NON-SMOOTH FREE BOUNDARIES IN HELE-SHAW FLOWS
• Domains of Variability for Univalent Polynomials

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