Hele-Shaw problems in multidimensional spaces

DOI10.1007/s003329910011zbMath0955.76024OpenAlexW2001062325WikidataQ127177256 ScholiaQ127177256MaRDI QIDQ1974559

Fei-Ran Tian

Publication date: 7 May 2000

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

Full work available at URL: https://doi.org/10.1007/s003329910011

zbMATH Keywords

surface tensionexact solutionsHele-Shaw problemzero surface tension limitsingle sinksingle sourcecontinuum of sinkscontinuum of sources

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (6)

On a Hele-Shaw flow problem with free and solid boundary components ⋮ Hele-Shaw flows with anisotropic surface tension ⋮ The Hele-Shaw flow and moduli of holomorphic discs ⋮ The vanishing surface tension limit for the Hele-Shaw problem ⋮ Analytic solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cell ⋮ Univalent functions in the dynamics of viscous flows

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