Multifrequency NLS Scaling for a Model Equation of Gravity-Capillary Waves
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Publication:2841674
DOI10.1002/cpa.21464zbMath1291.35358OpenAlexW2009632211MaRDI QIDQ2841674
Nader Masmoudi, Kenji Nakanishi
Publication date: 26 July 2013
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.21464
Related Items
The NLS approximation makes wrong predictions for the water wave problem in case of small surface tension and spatially periodic boundary conditions ⋮ Justification of the 2D NLS equation for a fourth order nonlinear wave equation - quadratic resonances do not matter much in case of analytic initial conditions ⋮ Justification of the nonlinear Schrödinger approximation for a quasilinear Klein-Gordon equation ⋮ Existence of long time solutions and validity of the nonlinear Schrödinger approximation for a quasilinear dispersive equation ⋮ Failure of the N‐wave interaction approximation without imposing periodic boundary conditions ⋮ Bilinear dispersive estimates via space time resonances, dimensions two and three ⋮ Validity of the nonlinear Schrödinger approximation for the two-dimensional water wave problem with and without surface tension in the arc length formulation
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