Nonlinearly Saturated Dynamical State of a Three-Wave Mode-Coupled Dissipative System with Linear Instability

2000 ◽  
Vol 84 (4) ◽  
pp. 622-625 ◽  
Author(s):  
Y. S. Dimant
Keyword(s):  
Dissipative System ◽  
Wave Mode ◽  
Linear Instability ◽  
Dynamical State

Relaxation oscillations in weak turbulence. The case of nonlinear wave-particle interaction

1974 ◽  
Vol 11 (1) ◽  
pp. 141-158 ◽  
Author(s):  
C. Montes
Keyword(s):  
Nonlinear Wave ◽  
Transition Probability ◽  
Particle Interaction ◽  
Dissipative System ◽  
Linear Instability ◽  
Weak Turbulence ◽  
Periodic Regime ◽  
Kinetic Regime ◽  
Relaxation Oscillations ◽  
Wave Particle Interaction

A model for nonlinear Landau stabilization of a linear instability is treated analytically. The model may apply to any dissipative system described by: (i) a linear dissipation function γ(k), of one degree of freedom k, which presents a limited unstable domain δK and a damped region for lower values of k, and (ii) a transition probability for the nonlinear Landau damping (nonlinear wave–particle interaction) proportional to k – K'. For a sharply pointed γ(k), the model leads to a kinetic regime presenting periodic relaxation oscillations of large and constant amplitude. Starting from weak turbulence, the system organizes itself into a periodic regime, which may be of interest in connexion with research in morphogenesis. For a smoothed γ(k), the relaxation oscillations damp, slowing down towards a turbulent energy level.

The Instability of Shear Thinning and Shear Thickening Spiralling Liquid Jets: Linear Theory

2006 ◽  
Vol 128 (5) ◽  
pp. 968-975 ◽  
Author(s):  
J. Uddin ◽  
S. P. Decent ◽  
M. J. Simmons
Keyword(s):  
Asymptotic Methods ◽  
Shear Thickening ◽  
Shear Thinning ◽  
Wave Mode ◽  
Linear Instability ◽  
Liquid Jets ◽  
Flow Index ◽  
Rotation Rates ◽  
Newtonian Liquids ◽  
Small Rotation

The linear instability of a power law liquid emerging as a jet from an orifice on the surface of a rotating container is investigated, with applications to industrial prilling. Asymptotic methods are used to examine the growth rate and wavenumber of the most unstable traveling wave mode for different flow index numbers. Comparison with Newtonian liquids show that for small rotation rates shear thinning liquids are most stable to disturbances. In contrast for higher rotation rates we find shear thickening liquids are more stable than shear thinning liquids. The influence of viscosity, surface tension, and rotation rate on the growth rates and most unstable wavenumbers associated with both types of liquids are also examined.

Mass distribution and Dynamical State of Galaxy Clusters in the LZLS Sample

2006 ◽  
Vol 20 ◽  
pp. 269-270 ◽  
Author(s):  
L.E. Campusano ◽  
E.S. Cypriano ◽  
L. Jr. Sodré ◽  
J.-P. Kneib
Keyword(s):  
Galaxy Clusters ◽  
Mass Distribution ◽  
Dynamical State

Wave-Mode Coordinates and Scattering Matrices for Wave Propagation.

1986 ◽  
Author(s):  
James H. Williams ◽  
Nagem Jr. ◽  
Yeung Raymond J. ◽  
Hubert K.
Keyword(s):  
Wave Propagation ◽  
Wave Mode ◽  
Scattering Matrices
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