The NLS approximation for two dimensional deep gravity waves
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s11425-018-9501-y.pdf
Reference18 articles.
1. Alvarez-Samaniego B, Lannes D. Large time existence for 3D water-waves and asymptotics. Invent Math, 2008, 171: 485–541
2. Chirilus-Bruckner M, Düll W-P, Schneider G. NLS approximation of time oscillatory long waves for equations with quasilinear quadratic terms. Math Nachr, 2015, 288: 158–166
3. Dull W-P, Heβ M. Existence of long time solutions and validity of the nonlinear Schrödinger approximation for a quasilinear dispersive equation. J Differential Equations, 2018, 264: 2598–2632
4. Düll W-P, Schneider G, Wayne C E. Justification of the nonlinear Schrödinger equation for the evolution of gravity driven 2D surface water waves in a canal of finite depth. Arch Ration Mech Anal, 2016, 220: 543–602
5. Dyachenko A I, Kuznetsov E A, Spector M D, et al. Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping). Phys Lett A, 1996, 221: 73–79
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