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Long‐Wave Instability in a Three‐Layer Stratified Shear Flow
Author(s) -
Grimshaw Roger,
Skyrnnikov Yuri
Publication year - 2002
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 - 10.1111/1467-9590.01424
Subject(s) - inviscid flow , instability , shear flow , mechanics , stratified flow , stratified flows , flow (mathematics) , shear (geology) , physics , nonlinear system , classical mechanics , mathematics , geology , turbulence , petrology , quantum mechanics
In inviscid fluid flows, instability can occur because of a resonance between two wave modes. For the case when the modes remain distinct at the critical point where the wave phase speeds coincide, then in the weakly nonlinear, long‐wave limit, there is an expectation that the generic outcome is a model consisting of two coupled Korteweg–deVries equations. This situation is examined for a certain three‐layer stratified shear flow.