Primary and secondary nonlinear global instability

DOI10.1016/S0167-2789(99)00062-7zbMath0944.76025OpenAlexW2149228978MaRDI QIDQ1809185

A. Couairon, Chomaz, Jean-Marc

Publication date: 20 September 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00062-7

zbMATH Keywords

scaling lawsdispersion relationoscillating solutionssingular perturbation analysiscomplex Ginzburg-Landau equationpattern selectionnonlinear global modecriterion for existence of nontrivial solutioninstability of shear flowslinear absolute instability transitionsecondary instability of saturated traveling wavesself-sustained resonance

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Nonlinear effects in hydrodynamic stability (76E30) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

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