Dynamics of a complex interface

DOI10.1016/0167-2789(91)90042-8zbMath0713.76107OpenAlexW2051035063MaRDI QIDQ750254

Leo P. Kadanoff, Peter Constantin

Publication date: 1991

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90042-8

zbMATH Keywords

unit circleLaplace's equationHele-Shaw probleminterface between two fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Multiphase and multicomponent flows (76T99)

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Cites Work

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• A nonlinear approximation for vortex sheet evolution and singularity formation
• Numerical experiments on Hele Shaw flow with a sharp interface
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Analytic theory for the selection of Saffman-Taylor fingers in the presence of thin film effects
• Two-phase displacement in Hele Shaw cells: theory
• Fingering in Hele-Shaw cells
• The effect of surface tension on the shape of a Hele–Shaw cell bubble
• Viscous fingering in Hele-Shaw cells