Global Solvability of the Problem on Two-Phase Capillary Fluid Motion in the Oberbeck–Boussinesq Approximation

DOI10.1007/978-4-431-56457-7_3zbMath1371.35194OpenAlexW2557394167MaRDI QIDQ5278244

Irina V. Denisova

Publication date: 13 July 2017

Published in: Mathematical Fluid Dynamics, Present and Future (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-56457-7_3

zbMATH Keywords

Hölder spacesLagrangian coordinatesNavier-Stokes systemtwo-phase problem with unknown interfaceincompressible capillary fluid

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

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• On the exponential stability of the rest state of a viscous compressible fluid
• On steady motion of a drop in an infinite liquid medium
• Global solvability of a problem governing the motion of two incompressible capillary fluids in a container