Squeeze flow of multiply-connected fluid domains in a Hele-Shaw cell

DOI10.1007/s00332-001-0397-5zbMath0999.76043OpenAlexW2151702432MaRDI QIDQ5956059

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Publication date: 2 December 2002

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-001-0397-5

zbMATH Keywords

well-posednessexact solutionssqueeze flowalgebraic curvesHele-Shaw cellmultiply-connected fluid domainsquadrature domains

Mathematics Subject Classification ID

Complex variables methods applied to problems in fluid mechanics (76M40) Other free boundary flows; Hele-Shaw flows (76D27)

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Poisson growth ⋮ Penguin huddling: a continuum model ⋮ The Benney hierarchy and the Dirichlet boundary problem in two dimensions ⋮ Bubble break-off in Hele--Shaw flows -- singularities and integrable structures ⋮ Riemann-Hilbert problems for multiply connected domains and circular slit maps

Cites Work

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• Singular effects of surface tension in evolving Hele-Shaw flows
• Theory of exact solutions for the evolution of a fluid annulus in a rotating Hele-Shaw cell
• Constructing Multiply Connected Quadrature Domains
• On nonlinear interface dynamics in Hele-Shaw flows

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