On nonlinear interface dynamics in Hele-Shaw flows

DOI10.1017/S0956792500001959zbMath0840.76014OpenAlexW2119675421MaRDI QIDQ4865739

Dmitry Kleinbock, Vladimir Entov, Pavel I. Etingof

Publication date: 10 April 1996

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792500001959

zbMATH Keywords

Richardson's approach

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Conformal mappings of special domains (30C20) Free boundary problems for PDEs (35R35) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)

Related Items (10)

Free-boundary models of a meltwater conduit ⋮ Poisson growth ⋮ Universality conjectures for activated random walk ⋮ On a two-phase Hele-Shaw problem with a time-dependent gap and distributions of sinks and sources ⋮ On a two-fluid Hele-Shaw problem with an elliptical interface ⋮ Viscous fingering as a paradigm of interfacial pattern formation: Recent results and new challenges ⋮ A REVIEW OF ONE-PHASE HELE-SHAW FLOWS AND A LEVEL-SET METHOD FOR NONSTANDARD CONFIGURATIONS ⋮ Squeeze flow of multiply-connected fluid domains in a Hele-Shaw cell ⋮ From reflections to a uniform elliptic growth ⋮ Generalised Hele-Shaw flow: A Schwarz function approach

Cites Work

• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Some Hele Shaw flows with time-dependent free boundaries
• BUBBLE CONTRACTION IN HELE-SHAW CELLS
• Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel

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