Hele-Shaw flows with time-dependent free boundaries involving a multiply-connected fluid region

DOI10.1017/S0956792501004569zbMath0996.76022OpenAlexW2171294641MaRDI QIDQ4330686

Stanley Richardson

Publication date: 10 November 2002

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792501004569

zbMATH Keywords

conformal mapHele-Shaw cellSchottky groupfree boundariesconstant pressurePoincaré theta seriesmultiply-connected geometry

Mathematics Subject Classification ID

Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (8)

Schwarz-Christoffel mapping of bounded, multiply connected domains ⋮ Strongly \(\varPhi \)-like functions of order \(\alpha \) in two-dimensional free boundary problems ⋮ The Benney hierarchy and the Dirichlet boundary problem in two dimensions ⋮ Uniformizing the boundaries of multiply connected quadrature domains using Fuchsian groups ⋮ On the construction of multiply connected arc integral quadrature domains ⋮ Laplacian growth and Whitham equations of soliton theory ⋮ Real separated algebraic curves, quadrature domains, Ahlfors type functions and operator theory ⋮ Bubble break-off in Hele--Shaw flows -- singularities and integrable structures

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