Solvability of the linearized problem on the motion of a drop in a liquid flow

DOI10.1007/BF01671933zbMath0796.76025OpenAlexW2091987739WikidataQ114395637 ScholiaQ114395637MaRDI QIDQ1813800

Irina V. Denisova, Vsevolod A. Solonnikov

Publication date: 25 June 1992

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01671933

zbMATH Keywords

a priori estimatessurface tensiondivergenceanisotropic Sobolev-Slobodetskij spacesnoncoercive integral term

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Capillarity (surface tension) for incompressible viscous fluids (76D45)

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Cites Work

• On an initial-boundary value problem for the Stokes systems arising in the study of a problem with a free boundary
• A priori estimates of the solution of a linear time-dependent problem connected with the motion of a drop in a fluid medium
• Nonlocal boundary-value problems for elliptic equations and systems
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