The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann equations

DOI10.1016/J.AML.2005.06.007zbMath1098.76032OpenAlexW1970372517MaRDI QIDQ2488719

Yanyan Li

Publication date: 11 May 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.06.007

zbMATH Keywords

ill-posednessviscous fingeringSaffman-Taylor instability

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Interfacial stability and instability in hydrodynamic stability (76E17) Complex variables methods applied to problems in fluid mechanics (76M40) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (1)

Linear stability analysis of Korteweg stresses effect on miscible viscous fingering in porous media

Cites Work

• The effect of finiteness in the Saffman-Taylor viscous fingering problem
• Pattern selection: Determined by symmetry and modifiable by distant effects
• 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

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