Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds
DOI10.1017/prm.2021.55zbMath1498.35449OpenAlexW3201249174MaRDI QIDQ5038419
Publication date: 30 September 2022
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/prm.2021.55
Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30) Asymptotic expansions of solutions to PDEs (35C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- Local well-posedness of the viscous surface wave problem without surface tension
- Global wellposedness of the 3-D full water wave problem
- Large-time regularity of viscous surface waves
- Almost global wellposedness of the 2-D full water wave problem
- Well-posedness in Sobolev spaces of the full water wave problem in 2D
- Stability of contact lines in fluids: 2D Stokes flow
- On some free boundary problems for the Navier-Stokes equations with moving contact points and lines
- Almost exponential decay of periodic viscous surface waves without surface tension
- Decay of viscous surface waves without surface tension in horizontally infinite domains
- The free surface on a liquid between cylinders rotating at different speeds. I
- The free surface on a liquid between cylinders rotating at different speeds. II
- Free boundary problem of steady incompressible flow with contact angle \(\frac \pi2\)
- The initial value problem for the navier-stokes equations with a free surface
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- The solvability of a free boundary problem for the stationary Navier-Stokes equations with a dynamic contact line
