Large time well-posedness of the three-dimensional capillary-gravity waves in the long wave regime
From MaRDI portal
Publication:2276304
DOI10.1007/s00205-011-0479-yzbMath1330.76025arXiv1008.1391OpenAlexW3100509956MaRDI QIDQ2276304
Mei Ming, Zhifei Zhang, Ping Zhang
Publication date: 5 November 2012
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.1391
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)
Related Items
The water wave equation ⋮ On the mathematical description of time-dependent surface water waves ⋮ Water Waves Problem with Surface Tension in a Corner Domain I: A Priori Estimates with Constrained Contact Angle
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global wellposedness of the 3-D full water wave problem
- Transverse instability of the line solitary water-waves
- On the water-wave equations with surface tension
- Well-posedness for the motion of an incompressible liquid with free surface boundary
- Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators
- Almost global wellposedness of the 2-D full water wave problem
- Well-posedness of the water-wave problem with surface tension
- A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves
- 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
- The modulational regime of three-dimensional water waves and the Davey-Stewartson system
- The rigorous approximation of long-wavelength capillary-gravity waves
- A stability criterion for two-fluid interfaces and applications
- Large time existence for 3D water waves and asymptotics
- Long wave approximations for water waves
- The long-wave limit for the water wave problem I. The case of zero surface tension
- Long-Wave Approximation to the 3-D Capillary-Gravity Waves
- Weakly transverse Boussinesq systems and the Kadomtsev–Petviashvili approximation
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
- A Long Wave Approximation for Capillary-Gravity Waves and an Effect of the Bottom
- On the free boundary problem of three-dimensional incompressible Euler equations
- The zero surface tension limit of three-dimensional water waves
- An existence theory for water waves and the boussinesq and korteweg-devries scaling limits
- Nonlinear modulation of gravity waves: a rigorous approach
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- Well-posedness of the water-waves equations
- FREE BOUNDARY PROBLEM FOR AN INCOMPRESSIBLE IDEAL FLUID WITH SURFACE TENSION
- Geometry and a priori estimates for free boundary problems of the Euler's equation
- A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations
- The zero surface tension limit two‐dimensional water waves
- Global solutions for the gravity water waves equation in dimension 3
