scholarly journals Nonlinear Evolution of the Kelvin–Helmholtz Instability of Supersonic Tangential Velocity Discontinuities

1997 ◽  
Vol 214 (2) ◽  
pp. 561-586 ◽  
Author(s):  
S.Roy Choudhury
Keyword(s):  
Nonlinear Evolution ◽  
Tangential Velocity ◽  
Helmholtz Instability

Nonlinear evolution of the Kelvin-Helmholtz instability in the high-latitude ionosphere

1988 ◽  
Vol 93 (A1) ◽  
pp. 137 ◽  
Author(s):  
M. J. Keskinen ◽  
H. G. Mitchell ◽  
J. A. Fedder ◽  
P. Satyanarayana ◽  
S. T. Zalesak ◽  
...  
Keyword(s):  
High Latitude ◽  
Nonlinear Evolution ◽  
Helmholtz Instability ◽  
High Latitude Ionosphere

scholarly journals Nonlinear evolution of the magnetized Kelvin-Helmholtz instability: From fluid to kinetic modeling

2013 ◽  
Vol 20 (10) ◽  
pp. 102118 ◽  
Author(s):  
P. Henri ◽  
S. S. Cerri ◽  
F. Califano ◽  
F. Pegoraro ◽  
C. Rossi ◽  
...  
Keyword(s):  
Kinetic Modeling ◽  
Nonlinear Evolution ◽  
Helmholtz Instability

Nonlinear evolution of the Kelvin-Helmholtz instability in the double current sheet configuration

2016 ◽  
Vol 23 (3) ◽  
pp. 032117 ◽  
Author(s):  
Aohua Mao ◽  
Jiquan Li ◽  
Jinyuan Liu ◽  
Yasuaki Kishimoto
Keyword(s):  
Current Sheet ◽  
Nonlinear Evolution ◽  
Helmholtz Instability

Nonlinear dispersive instabilities in Kelvin–Helmholtz MHD flows

1998 ◽  
Vol 59 (1) ◽  
pp. 27-37 ◽  
Author(s):  
M. SINGH ◽  
H. K. KHOSLA ◽  
S. K. MALIK
Keyword(s):  
Magnetic Field ◽  
Nonlinear Evolution ◽  
Second Harmonic ◽  
The Self ◽  
Helmholtz Instability ◽  
Velocity Difference ◽  
Explosive Instability ◽  
Self Focusing ◽  
Harmonic Resonance ◽  
Minimum Velocity

The nonlinear evolution of Kelvin–Helmholtz instability is examined in 2+1 dimensions in the context of magnetohydrodynamics. When the velocity difference U is less than the critical velocity Uc, the equation governing the amplitude evolves into a self-focusing singularity. The self-focusing of waves predominates at short wavelengths, is directionally dependent, and also depends sensitively on the strength of the applied magnetic field. The minimum velocity that allows the existence of self-focusing increases with increasing magnetic field strength. The explosive instability at the second-harmonic resonance is also investigated.

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