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Long-Wave Instability in a Three-Layer Stratified Shear Flow

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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.
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Document Type: Original Article

Affiliations: 1: Loughborough University, 2: Monash University

Publication date: January 1, 2002

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