Steady Nonsymmetrical Gravity Waves with Shear in Water

A new type of steady two‐dimensional inviscid gravity wave with shear is computed numerically. These waves appear at relatively low amplitudes and lack symmetry with respect to any crest or trough. A boundary integral formulation is used to obtain a one‐parameter family of nonsymmetrical solutions t...

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Veröffentlicht in:	Studies in applied mathematics (Cambridge) 1999-04, Vol.102 (3), p.267-290
1. Verfasser:	Baumstein, Anatoly I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Fluid dynamics Function theory, analysis Fundamental areas of phenomenology (including applications) Laminar flows Low-reynolds-number (creeping) flows Mathematical analysis Mathematical methods in physics Mathematics Partial differential equations Physics Sciences and techniques of general use
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Beschreibung
Zusammenfassung:	A new type of steady two‐dimensional inviscid gravity wave with shear is computed numerically. These waves appear at relatively low amplitudes and lack symmetry with respect to any crest or trough. A boundary integral formulation is used to obtain a one‐parameter family of nonsymmetrical solutions through a symmetry‐breaking bifurcation.
ISSN:	0022-2526 1467-9590
DOI:	10.1111/1467-9590.00111