On some free boundary problems for the Navier-Stokes equations with moving contact points and lines

DOI10.1007/BF01444515zbMath0926.35116MaRDI QIDQ1898859

Vsevolod A. Solonnikov

Publication date: 8 November 1995

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165351

zbMATH Keywords

Navier-Stokes equationsmoving contact anglemoving contact point

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35)

Related Items (15)

On the Interface Formation Model for Dynamic Triple Lines ⋮ Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds ⋮ Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid ⋮ Unnamed Item ⋮ Schauder estimates for steady compressible Navier-Stokes equations in bounded domains ⋮ A free boundary problem for the Stokes equations ⋮ Stability of contact lines in fluids: 2D Stokes flow ⋮ Dynamics and stability of sessile drops with contact points ⋮ Viscous incompressible free-surface flow down an inclined perturbed plane ⋮ Stokes and Navier-Stokes equations with perfect slip on wedge type domains ⋮ A steady three-dimensional noncompact free boundary-value problem for the Navier-Stokes equations ⋮ On free boundary problems with moving contact points for the stationary two-dimensional Navier-Stokes equations ⋮ Free boundary problem of steady incompressible flow with contact angle \(\frac \pi2\) ⋮ A free boundary problem for the stokes system with contact lines ⋮ Local well-posedness of incompressible viscous fluids in bounded cylinders with \(90^\circ \)-contact angle

Cites Work

• On free boundary problems with moving contact points for the stationary two-dimensional Navier-Stokes equations
• On the problem of dynamic contact angle
• The moving contact line: the slip boundary condition
• A moving fluid interface. Part 2. The removal of the force singularity by a slip flow
• [Russian Text Ignored.]
• [Russian Text Ignored]
• The solvability of a free boundary problem for the stationary Navier-Stokes equations with a dynamic contact line
• On the motion of a fluid-fluid interface along a solid surface
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