Classical solvability of the stationary free boundary problem describing the interface formation between two immiscible fluids

DOI10.1007/s13324-015-0110-8zbMath1342.35259OpenAlexW2256358454MaRDI QIDQ300508

Yoshiaki Kusaka

Publication date: 28 June 2016

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-015-0110-8

zbMATH Keywords

Navier-Stokes equationsfree boundaryinterface formation model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35)

Related Items (1)

Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid

Cites Work

• Analysis of a local hydrodynamic model with Marangoni effect
• On the free boundary problem for stationary compressible Navier-Stokes equations
• On a boundary value problem for a stationary system of Navier-Stokes equations
• Free surface of a drop in a symmetric force field
• Classical solvability of a free boundary problem for an incompressible viscous fluid with a surface density equation
• Classical solvability of a stationary free boundary problem for an incompressible viscous fluid describing the process of interface formation
• The moving contact line on a smooth solid surface
• Moving contact lines in liquid/liquid/solid systems
• Capillary Flows with Forming Interfaces
• On equivalent norms for fractional spaces
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