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Long-time existence for multi-dimensional periodic water waves - MaRDI portal

Long-time existence for multi-dimensional periodic water waves (Q1999361)

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Language	Label	Description	Also known as
English	Long-time existence for multi-dimensional periodic water waves	scientific article

Statements

scholarly article

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Long-time existence for multi-dimensional periodic water waves (English)

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Alexandru D. Ionescu

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Geometric and Functional Analysis. GAFA

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publication date

26 June 2019

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full work available at URL

https://arxiv.org/abs/1807.02932

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zbMATH Keywords

gravity-capillary water waves

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MaRDI profile type

MaRDI publication profile

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On the water-wave equations with surface tension

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On the Cauchy problem for gravity water waves

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Global solutions and asymptotic behavior for two dimensional gravity water waves

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Sobolev estimates for two dimensional gravity water waves

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Paralinearization of the Dirichlet to Neumann Operator, and Regularity of Three-Dimensional Water Waves

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Well-Posedness of Vortex Sheets with Surface Tension

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KAM for autonomous quasi-linear perturbations of mKdV

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Time quasi-periodic gravity water waves in finite depth

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Birkhoff normal form for some nonlinear PDEs

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Birkhoff normal form for partial differential equations with tame modulus

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Almost global existence for Hamiltonian semilinear Klein‐Gordon equations with small Cauchy data on Zoll manifolds

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Almost global solutions of capillary-gravity water waves equations on the circle

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Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves

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On the Cauchy problem for a capillary drop. Part I: irrotational motion

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Strichartz Estimates for the Water-Wave Problem with Surface Tension

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Well-posedness of the free-surface incompressible Euler equations with or without surface tension

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An existence theory for water waves and the boussinesq and korteweg-devries scaling limits

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The modulational regime of three-dimensional water waves and the Davey-Stewartson system

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Long-time Sobolev stability for small solutions of quasi-linear Klein-Gordon equations on the circle

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Quasi-linear perturbations of Hamiltonian Klein-Gordon equations on spheres

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Long-time existence for the semilinear Klein–Gordon equation on a compact boundary-less Riemannian manifold

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Long-time existence for semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds

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Global solutions of the gravity-capillary water-wave system in three dimensions

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Global solutions for the gravity water waves equation in dimension 3

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Global Existence for Capillary Water Waves

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Finite depth gravity water waves in holomorphic coordinates

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Two dimensional water waves in holomorphic coordinates

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Two dimensional water waves in holomorphic coordinates II: global solutions

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The lifespan of small data solutions in two dimensional capillary water waves

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Two-dimensional gravity water waves with constant vorticity. I: Cubic lifespan. With appendices by Mihaela Ifrim and Daniel Tataru.

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Global solutions for the gravity water waves system in 2d

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Global Analysis of a Model for Capillary Water Waves in Two Dimensions

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Global Regularity for 2d Water Waves with Surface Tension

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Recent advances on the global regularity for irrotational water waves

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Well-posedness of the water-waves equations

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Well-posedness for the motion of an incompressible liquid with free surface boundary

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Normal forms and quadratic nonlinear Klein-Gordon equations

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Geometry and a priori estimates for free boundary problems of the Euler's equation

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Local well-posedness for fluid interface problems

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The nonlinear Schrödinger equation. Self-focusing and wave collapse

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A rigorous justification of the modulation approximation to the 2D full water wave problem

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Global Infinite Energy Solutions for the 2D Gravity Water Waves System

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On the 3-dimensional water waves system above a flat bottom

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Global solution for the 3D gravity water waves system above a flat bottom

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Well-posedness in Sobolev spaces of the full water wave problem in 2D

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Well-posedness in Sobolev spaces of the full water wave problem in 3-D

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Almost global wellposedness of the 2-D full water wave problem

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Global wellposedness of the 3-D full water wave problem

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Gravity waves on the free surface of an incompressible perfect fluid of finite depth

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Identifiers

zbMATH Open document ID

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10.1007/s00039-019-00490-8

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1999361

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