The selection of Saffman-Taylor fingers by kinetic undercooling
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Publication:1415652
DOI10.1023/A:1022860705459zbMath1028.76005MaRDI QIDQ1415652
John R. King, S. Jonathan Chapman
Publication date: 9 December 2003
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
surface tensionregularisationStokes linesHele-Shaw problemkinetic undercoolingasymptotic-beyond-all-orders analysisselection of Saffman-Taylor fingers
Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Capillarity (surface tension) for incompressible viscous fluids (76D45) Other free boundary flows; Hele-Shaw flows (76D27)
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Free surface flow past topography: A beyond-all-orders approach ⋮ A moving boundary problem motivated by electric breakdown. I: Spectrum of linear perturbations ⋮ Multiple bubble dynamics and velocity selection in Laplacian growth without surface tension ⋮ Rigorous results in existence and selection of Saffman–Taylor fingers by kinetic undercooling ⋮ The effect of surface tension on steadily translating bubbles in an unbounded Hele-Shaw cell ⋮ A REVIEW OF ONE-PHASE HELE-SHAW FLOWS AND A LEVEL-SET METHOD FOR NONSTANDARD CONFIGURATIONS ⋮ The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem ⋮ On the growth of the mixing zone in miscible viscous fingering ⋮ Analytic solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cell ⋮ Exponential asymptotics of localised patterns and snaking bifurcation diagrams ⋮ Selection of a Hele-Shaw Bubble via Exponential Asymptotics ⋮ Corner and finger formation in Hele-Shaw flow with kinetic undercooling regularisation
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