Oseen and Stokes asymptotics for the problem on stationary motion of two immiscible liquids

DOI10.1007/BF02433443zbMath0965.35116OpenAlexW1999028788MaRDI QIDQ1575972

Vsevolod A. Solonnikov

Publication date: 24 August 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02433443

zbMATH Keywords

Navier-Stokes equationsStokes flowa priori estimatesfree-boundary problemOseen flowslow motion of two immiscible liquidsuniform drop in infinite liquid

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Other free boundary flows; Hele-Shaw flows (76D27)

Cites Work

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• An integral equation procedure for the exterior three-dimensional slow viscous flow
• On steady motion of a drop in an infinite liquid medium
• On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems
• Estimates of Oseen's Potentials in Weighted Hölder Spaces
• On the deformation and drag of a falling viscous drop at low Reynolds number