Analyticity for the Navier-Stokes equations governed by surface tension on the free boundary

DOI10.1016/0022-0396(84)90091-3zbMath0497.35076OpenAlexW2074713472MaRDI QIDQ1170699

Avner Friedman, Josef Bemelmans

Publication date: 1984

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90091-3

zbMATH Keywords

analyticityfree boundaryincompressible, viscous fluidNavier-Stokes equations governed by surface tension

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Inverse problems for PDEs (35R30) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45)

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The transient lubrication problem as a generalized Hele-Shaw type problem ⋮ A geometric approach to the study of stationary free surface flows for viscous liquids ⋮ A bubble in ideal fluid with gravity

Cites Work

• Liquid drops in a viscous fluid under the influence of gravity and surface tension
• Regularity in elliptic free boundary problems. I
• On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
• Gleichgewichtsfiguren zäher Flüssigkeiten mit Oberflächenspannung
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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