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Steady Nonsymmetrical Gravity Waves with Shear in Water
Author(s) -
Baumstein Anatoly I.
Publication year - 1999
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.00111
Subject(s) - inviscid flow , gravity wave , bifurcation , amplitude , shear (geology) , gravitational wave , physics , mechanics , crest , classical mechanics , mathematical analysis , mathematics , geology , nonlinear system , optics , quantum mechanics , astrophysics , petrology
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.
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