A shallow-water approximation to the full water wave problem

We demonstrate that the system of the Green‐Naghdi equations as a two‐directional, nonlinearly dispersive wave model is a close approximation to the two‐dimensional full water wave problem. Based on the energy estimates and the proof of the well‐posedness for the Green‐Naghdi equations and the water...

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Veröffentlicht in:	Communications on pure and applied mathematics 2006-09, Vol.59 (9), p.1225-1285
1. Verfasser:	Li, Yi A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Computational methods in fluid dynamics Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Mathematical analysis Mathematical models Mathematics Nonlinear equations Partial differential equations Physics Sciences and techniques of general use Waveform analysis
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