Instability of a free boundary in a Hele-Shaw cell with sink/source and its parameter dependence

DOI10.14495/JSIAML.9.37zbMath1409.76035OpenAlexW2615770519MaRDI QIDQ3121485

Hisasi Tani, Shigetoshi Yazaki

Publication date: 18 March 2019

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14495/jsiaml.9.37

zbMATH Keywords

linear stability analysisfree boundarySaffman-Taylor instabilityHele-Shaw cell with sink/sourcetwo phase Hele-Shaw problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Interfacial stability and instability in hydrodynamic stability (76E17) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)

Cites Work

• Radial fingering in a Hele-Shaw cell: A weakly nonlinear analysis
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• The effect of surface tension on the shape of fingers in a Hele Shaw cell

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