Contracting bubbles in Hele-Shaw cells with a power-law fluid

DOI10.1088/0951-7715/24/2/009zbMath1215.35174OpenAlexW2011555733WikidataQ58484772 ScholiaQ58484772MaRDI QIDQ3080043

John R. King, Scott W. McCue

Publication date: 4 March 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://eprints.qut.edu.au/39131/2/39131.pdf

zbMATH Keywords

power-law fluidWiener-Hopf problemstability behaviourHele-Shaw cellscontracting bubbles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Flows in porous media; filtration; seepage (76S05) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)

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Hole-closing model reveals exponents for nonlinear degenerate diffusivity functions in cell biology ⋮ A REVIEW OF ONE-PHASE HELE-SHAW FLOWS AND A LEVEL-SET METHOD FOR NONSTANDARD CONFIGURATIONS ⋮ On the displacement of two immiscible Oldroyd-B fluids in a Hele-Shaw cell ⋮ Control of viscous instability by variation of injection rate in a fluid with time-dependent rheology ⋮ Converging gravity currents of power-law fluid ⋮ Corner and finger formation in Hele-Shaw flow with kinetic undercooling regularisation ⋮ New exact solutions for Hele-Shaw flow in doubly connected regions

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