Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid
DOI10.1186/s13661-021-01582-xzbMath1494.76025OpenAlexW4205125905MaRDI QIDQ2153834
Publication date: 13 July 2022
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-021-01582-x
existencefree boundary problemincompressible Navier-Stokes equationsweighted Hölder spaceaxially symmetric solutioncircular capillary tube
Navier-Stokes equations (35Q30) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35)
Cites Work
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- Classical solvability of the stationary free boundary problem describing the interface formation between two immiscible fluids
- Analysis of a local hydrodynamic model with Marangoni effect
- On a boundary value problem for a stationary system of Navier-Stokes equations
- A well-posed model for dynamic contact angles
- Stability of contact lines in fluids: 2D Stokes flow
- On Navier-Stokes equations with slip boundary conditions in an infinite pipe
- On some free boundary problems for the Navier-Stokes equations with moving contact points and lines
- Simulation of micron-scale drop impact
- Classical solvability of a stationary free boundary problem for an incompressible viscous fluid describing the process of interface formation
- Finite element simulation of dynamic wetting flows as an interface formation process
- Singularities at the moving contact line. Mathematical, physical and computational aspects
- Simulation of Droplet Impact with Dynamic Contact Angle Boundary Conditions
- Hydrodynamic assist and the dynamic contact angle in the coalescence of liquid drops
- On a model for the motion of a contact line on a smooth solid surface
- The moving contact line on a smooth solid surface
- Experimental evidence of nonlocal hydrodynamic influence on the dynamic contact angle
- On the free surface of a viscous fluid motion
- [Russian Text Ignored]
- The solvability of a free boundary problem for the stationary Navier-Stokes equations with a dynamic contact line
- Solvability of a Stationary Problem on the Plane Motion of Two Viscous Incompressible Liquids with Non‐Compact Free Boundaries
- On the motion of a fluid-fluid interface along a solid surface
- Capillary Flows with Forming Interfaces
- Local Well Posedness of the Near-Equilibrium Contact Line Problem in 2-Dimensional Stokes Flow
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