Quadratic life span of periodic gravity-capillary water waves
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Publication:2063892
DOI10.1007/s42286-020-00036-8zbMath1502.35103arXiv1905.05424OpenAlexW3032349981MaRDI QIDQ2063892
Massimiliano Berti, L. Franzoi, Roberto Feola
Publication date: 3 January 2022
Published in: Water Waves (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.05424
Smoothness and regularity of solutions to PDEs (35B65) 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) Resonance in context of PDEs (35B34) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)
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Cites Work
- Unnamed Item
- A rigorous justification of the modulation approximation to the 2D full water wave problem
- 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
- Numerical simulation of gravity waves
- Local well-posedness for fluid interface problems
- Reducible KAM tori for the Degasperis-Procesi equation
- Almost global wellposedness of the 2-D full water wave problem
- 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
- Finite depth gravity water waves in holomorphic coordinates
- Almost global solutions of capillary-gravity water waves equations on the circle
- Global solutions of the gravity-capillary water-wave system in three dimensions
- Local well-posedness for quasi-linear NLS with large Cauchy data on the circle
- Time quasi-periodic gravity water waves in finite depth
- Long-time existence for multi-dimensional periodic water waves
- Global solutions for the gravity water waves system in 2d
- Birkhoff normal form for gravity water waves
- The lifespan of small data solutions in two dimensional capillary water waves
- Normal Form Transformations for Capillary-Gravity Water Waves
- Global solutions and asymptotic behavior for two dimensional gravity water waves
- Strichartz Estimates for the Water-Wave Problem with Surface Tension
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
- Paralinearization of the Dirichlet to Neumann Operator, and Regularity 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
- Global Regularity for 2d Water Waves with Surface Tension
- Global Existence for Capillary Water Waves
- Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves
- Two dimensional water waves in holomorphic coordinates II: global solutions
- Global solutions for the gravity water waves equation in dimension 3
