Nonlinear stability of a weakly supercritical mixing layer in a rotating fluid

DOI10.1017/S0022112089000728zbMath0677.76043OpenAlexW1989627614MaRDI QIDQ3833790

I. G. Shukhman

Publication date: 1989

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112089000728

zbMATH Keywords

nonlinear evolutionmixing layer of a rotating fluid

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) General theory of rotating fluids (76U05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

The nonlinear critical layer resulting from the spatial or temporal evolution of weakly unstable disturbances in shear flows ⋮ A weakly nonlinear theory of the spatial evolution of disturbances in a shear flow with a parallel magnetic field ⋮ A NOTE ON THE STABILITY OF SWIRLING FLOWS WITH RADIUS-DEPENDENT DENSITY WITH RESPECT TO INFINITESIMAL AZIMUTHAL DISTURBANCES

Cites Work

• Nonlinear stability of a stratified shear flow: a viscous critical layer
• Nonlinear Perturbations of the Orr–Sommerfeld Equation—Asymptotic Expansion of the Logarithmic Phase Shift Across the Critical Layer
• The Evolution in Space and Time of Nonlinear Waves in Parallel Shear Flows
• The inviscid nonlinear instability of parallel shear flows
• Contribution to the Nonlinear Stability Theory of Inviscid Shear Layers
• On the inviscid instability of the hyperbolictangent velocity profile
• Critical Layers m Parallel Flows

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