Water Waves Problem with Surface Tension in a Corner Domain I: A Priori Estimates with Constrained Contact Angle
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Publication:5127143
DOI10.1137/19M1239957zbMath1450.35219arXiv1709.00180MaRDI QIDQ5127143
Publication date: 21 October 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.00180
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)
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Cites Work
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- On the Cauchy problem for gravity water waves
- Two dimensional water waves in holomorphic coordinates
- Global wellposedness of the 3-D full water wave problem
- On the water-wave equations with surface tension
- Generalized Navier boundary condition and geometric conservation law for surface tension
- Local well-posedness for fluid interface problems
- Capillary-gravity waves for an incompressible ideal fluid
- Well-posedness for the motion of an incompressible liquid with free surface boundary
- Almost global wellposedness of the 2-D full water wave problem
- Well-posedness of the water-wave problem with surface tension
- Gravity waves on the free surface of an incompressible perfect fluid of finite depth
- Well-posedness in Sobolev spaces of the full water wave problem in 2D
- Stability of contact lines in fluids: 2D Stokes flow
- A priori estimates for water waves with emerging bottom
- A priori estimates for two-dimensional water waves with angled crests
- Global solutions for the gravity water waves system in 2d
- Large time well-posedness of the three-dimensional capillary-gravity waves in the long wave regime
- The lifespan of small data solutions in two dimensional capillary water waves
- Large time existence for 3D water waves and asymptotics
- On the three-dimensional Euler equations with a free boundary subject to surface tension
- Global solutions and asymptotic behavior for two dimensional gravity water waves
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
- On the free boundary problem of three-dimensional incompressible Euler equations
- Boundary conditions for the moving contact line problem
- The zero surface tension limit of three-dimensional water waves
- An existence theory for water waves and the boussinesq and korteweg-devries scaling limits
- On the Cauchy problem for a capillary drop. Part I: irrotational motion
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- Well-Posedness of Vortex Sheets with Surface Tension
- The Jacobi equation for irrotational free boundary flows
- The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations
- Elliptic estimates for the Dirichlet–Neumann operator on a corner domain
- Well-posedness of the water-waves equations
- FREE BOUNDARY PROBLEM FOR AN INCOMPRESSIBLE IDEAL FLUID WITH SURFACE TENSION
- Moving Contact Lines: Scales, Regimes, and Dynamical Transitions
- Modeling of dynamic wetting far from equilibrium
- Geometry and a priori estimates for free boundary problems of the Euler's equation
- The zero surface tension limit two‐dimensional water waves
- Two dimensional water waves in holomorphic coordinates II: global solutions
- Global solutions for the gravity water waves equation in dimension 3
- Cauchy theory for the gravity water waves system with non-localized initial data
