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Nonlinear Wave Packets in Flows with Critical Layers
Author(s) -
Benney D. J.
Publication year - 1983
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 - 10.1002/sapm1983693177
Subject(s) - homogeneous , nonlinear system , wave packet , shear flow , phase velocity , physics , mechanics , flow (mathematics) , group velocity , flow velocity , wave shoaling , shear (geology) , wave propagation , stokes wave , mathematical analysis , mathematics , statistical physics , geology , breaking wave , mechanical wave , longitudinal wave , optics , petrology , quantum mechanics
This paper is a theoretical study of nonlinear wave propagation in homogeneous and stratified shear flows. For a wave packet, it is known that levels where the flow velocity is equal to the phase or group velocity are regions where nonlinear effects are especially significant. In this study certain aspects of the flow configuration are examined in the neighborhood of each of these regions.