Nonlinear evolution of the Kelvin-Helmholtz instability of supersonic tangential velocity discontinuities

DOI10.1006/jmaa.1997.5594zbMath0893.35102OpenAlexW2083156476MaRDI QIDQ1380369

S. Roy Choudhury

Publication date: 23 July 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5594

zbMATH Keywords

Kelvin-Helmholtz instabilitynonlinear Klein-Gordon equationcompressible fluidsmultiscales perturbation procedurenonlinear modulation instability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) Supersonic flows (76J20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A non-linear analysis for spatial structure in a reaction-diffusion model
• Second-harmonic resonance in non-conservative systems
• The modulational instability of the nonlinear Klein-Gordon equation
• On the disturbed motion of a plane vortex sheet
• The two-dimensional stability of periodic and solitary wave trains on a water surface over arbitrary depth
• An example of soliton behaviour in a rotating baroclinic fluid
• Amplitude equations at the critical points of unstable dispersive physical systems
• The effects of a simple shear layer on the growth of Kelvin–Helmholtz instabilities
• A Stability Criterion for Envelope Equations
• The inverse scattering transform: Semi-infinite interval
• Shear layer instability of an inviscid compressible fluid. Part 2
• Kelvin-Helmholtz Instability of Relativistic Beams
• Instabilities of Kelvin-Helmholtz type for Relativistic streaming
• Perturbation methods and non-linear hyperbolic waves
• Nonlinear wave packets in the Kelvin-Helmholtz instability
• On density effects and large structure in turbulent mixing layers
• On the inviscid instability of the hyperbolictangent velocity profile
• Stability of the Interface between Two Fluids in Relative Motion
• Resonant gravity-wave interactions in a shear flow
• Finite bandwidth, finite amplitude convection
• Shear layer instability of an inviscid compressible fluid
• Kelvin–Helmholtz instability of finite amplitude
• A non-linear instability theory for a wave system in plane Poiseuille flow
• The Post-Buckling Problem for Thin Elastic Shells
• Non-linear Kelvin–Helmholtz instability
• Nonlinear waves in a Kelvin-Helmholtz flow
• Hydromagnetic Stability at a Fluid Velocity Discontinuity between Compressible Fluids
• Effect of Compressibility on Kelvin-Helmholtz Instability in a Plasma

This page was built for publication: Nonlinear evolution of the Kelvin-Helmholtz instability of supersonic tangential velocity discontinuities