Validity of the Nonlinear Schrödinger Approximation for the Two-Dimensional Water Wave Problem With and Without Surface Tension in the Arc Length Formulation
Author:
Funder
Deutsche Forschungsgemeinschaft
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Link
https://link.springer.com/content/pdf/10.1007/s00205-020-01586-4.pdf
Reference50 articles.
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3. Ambrose, D.M., Masmoudi, N.: The zero surface tension limit of two-dimensional water waves. Commun. Pure Appl. Math. 58(10), 1287–1315, 2005
4. Chirilus-Bruckner, M., Düll, W.-P., Schneider, G.: NLS approximation of time oscillatory long waves for equations with quasilinear quadratic terms. Math. Nachr. 288(2–3), 158–166, 2015
5. Craig, W., Sulem, C., Sulem, P.L.: Nonlinear modulation of gravity waves: a rigorous approach. Nonlinearity 5(2), 497–522, 1992
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