Nonlinear stability of a stratified shear flow: a viscous critical layer
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Publication:3775188
DOI10.1017/S0022112087001708zbMath0635.76042OpenAlexW2129418268MaRDI QIDQ3775188
I. G. Shukhman, S. M. Churilov
Publication date: 1987
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112087001708
nonlinear stabilitynonlinear evolution equationviscous critical-layer regimeweakly supercritical shear flow
Nonlinear effects in hydrodynamic stability (76E30) Parallel shear flows in hydrodynamic stability (76E05)
Related Items (12)
Dynamics of vorticity defects in stratified shear flow ⋮ The viscous-diffusion nonlinear critical layer in a stratified shear flow ⋮ The dynamics of nonlinear instability waves in laminar heated and unheated compressible mixing layers ⋮ Multi-scale dynamics of Kelvin–Helmholtz instabilities. Part 1. Secondary instabilities and the dynamics of tubes and knots ⋮ A transition from Kelvin–Helmholtz instabilities to propagating wave instabilities ⋮ Nonlinear stability of a weakly supercritical mixing layer in a rotating fluid ⋮ A weakly nonlinear theory of the spatial evolution of disturbances in a shear flow with a parallel magnetic field ⋮ Quasi-steady dissipative nonlinear critical layer in a stratified shear flow ⋮ Kelvin–Helmholtz billows above Richardson number ⋮ The effects of Prandtl number on the nonlinear dynamics of Kelvin–Helmholtz instability in two dimensions ⋮ On the nonlinear destabilization of stably stratified shear flow ⋮ A steady nonlinear and singular vortex Rossby wave within a rapidly rotating vortex. Part I: Theory
Cites Work
- The stability of a shear layer in an unbounded heterogeneous inviscid fluid
- The Evolution in Space and Time of Nonlinear Waves in Parallel Shear Flows
- Weakly nonlinear stability of a viscous free shear layer
- Contribution to the Nonlinear Stability Theory of Inviscid Shear Layers
- On the high Reynolds number flow over a wavy boundary
- A New Class of Nonlinear Waves in Parallel Flows
- Stability of a Stratified Free Shear Layer
- The Nonlinear Critical Layer in a Slightly Stratified Shear Flow
- On the stability of heterogeneous shear flows
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