Nonlinear Singular Kelvin Modes in a Columnar Vortex

DOI10.1007/978-3-642-00605-0_6zbMath1179.35235OpenAlexW199583723MaRDI QIDQ3653044

Philippe Caillol, S. A. Maslowe

Publication date: 18 December 2009

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00605-0_6

zbMATH Keywords

critical layerRichardson number

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Stratification effects in viscous fluids (76D50)

Cites Work

• Steady multipolar planar vortices with nonlinear critical layers
• On steady laminar flow with closed streamlines at large Reynolds number
• Widnall instabilities in vortex pairs
• The viscous-diffusion nonlinear critical layer in a stratified shear flow
• The stability of short waves on a straight vortex filament in a weak externally imposed strain field
• A New Class of Nonlinear Waves in Parallel Flows
• Critical Layers m Parallel Flows
• On the hydrodynamic and hydromagnetic stability of swirling flows
• On the stability of heterogeneous shear flows
• Rossby Solitary Waves in the Presence of a Critical Layer

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