Rotation problem for a two-phase drop

DOI10.1007/s00021-022-00662-xzbMath1487.35286OpenAlexW4220984436WikidataQ114395595 ScholiaQ114395595MaRDI QIDQ831437

Vsevolod A. Solonnikov, Irina V. Denisova

Publication date: 23 March 2022

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-022-00662-x

zbMATH Keywords

Navier-Stokes systemviscous incompressible fluidsinterface problemtwo-phase problemSobolev-Slobodetskiǐ spaces

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Interfacial stability and instability in hydrodynamic stability (76E17) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Perturbations in context of PDEs (35B20) Free boundary problems for PDEs (35R35)

Cites Work

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• On an initial-boundary value problem for the Stokes systems arising in the study of a problem with a free boundary
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• \(L_2\)-theory for two incompressible fluids separated by a free interface
• Solvability of the linearized problem on the motion of a drop in a liquid flow
• A priori estimates of the solution of a linear time-dependent problem connected with the motion of a drop in a fluid medium
• On the linear problem arising in the study of a free boundary problem for the Navier–Stokes equations
• On the stability of axially symmetric equilibrium figures of a rotating viscous incompressible fluid
• Motion of a Drop in an Incompressible Fluid

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