Chapter Four. Nonlinear Finite-Amplitude Dynamics

2013 ◽  
pp. 35-50
Keyword(s):  
Finite Amplitude

Some problems in the propagation of ultrasonic waves of finite amplitude in liquids

1959 ◽  
Vol 68 (8) ◽  
pp. 687-715 ◽  
Author(s):  
L.K. Zarembo ◽  
V.A. Krasil'nikov
Keyword(s):  
Finite Amplitude ◽  
Ultrasonic Waves

MODEL OF EVOLUTIONOF FINITE-AMPLITUDE PERTUBATIONS IN A TWO-PHASE REACTIVE SYSTEM

2012 ◽  
Vol 43 (2) ◽  
pp. 109-122 ◽  
Author(s):  
O. V. Sharypov ◽  
I. S. Anufriev
Keyword(s):  
Finite Amplitude ◽  
Reactive System ◽  
Two Phase

Finite amplitude convection in a conditionally unstable stagnant air mass

Tellus ◽  
1964 ◽  
Vol 16 (2) ◽  
pp. 148-159
Author(s):  
S. M. A. Haque
Keyword(s):  
Finite Amplitude ◽  
Air Mass

Finite amplitude disturbances in a rotating fluid

Tellus ◽  
1971 ◽  
Vol 23 (1) ◽  
pp. 82-86
Author(s):  
Robert R. Long
Keyword(s):  
Finite Amplitude ◽  
Rotating Fluid

Solitary waves in a dusty adiabatic electronegative plasma

2010 ◽  
Vol 76 (3-4) ◽  
pp. 409-418 ◽  
Author(s):  
A. A. MAMUN ◽  
K. S. ASHRAFI ◽  
M. G. M. ANOWAR
Keyword(s):  
Solitary Waves ◽  
Vries Equation ◽  
Negative Ions ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Charged Dust ◽  
Electronegative Plasma ◽  
Ion Acoustic ◽  
Basic Features ◽  
Electronegative Plasmas

AbstractThe dust ion-acoustic solitary waves (SWs) in an unmagnetized dusty adiabatic electronegative plasma containing inertialess adiabatic electrons, inertial single charged adiabatic positive and negative ions, and stationary arbitrarily (positively and negatively) charged dust have been theoretically studied. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation which admits an SW solution. The combined effects of the adiabaticity of plasma particles, inertia of positive or negative ions, and presence of positively or negatively charged dust, which are found to significantly modify the basic features of small but finite-amplitude dust-ion-acoustic SWs, are explicitly examined. The implications of our results in space and laboratory dusty electronegative plasmas are briefly discussed.

A WEAKLY NONLINEAR INSTABILITY OF MISCIBLE DISPLACEMENTS IN A RECTILINEAR POROUS MEDIA FLOW

1994 ◽  
Vol 04 (05) ◽  
pp. 1319-1328 ◽  
Author(s):  
WILLIAM B. ZIMMERMAN
Keyword(s):  
Linear Theory ◽  
Landau Equation ◽  
Separation Of Variables ◽  
Finite Amplitude ◽  
Linear Stability Theory ◽  
Porous Media Flow ◽  
Perturbation Scheme ◽  
Viscous Effects ◽  
Regular Perturbation ◽  
Displacement Front

The linear stability theory of Tan & Homsy [1986] is extended to include the effects of weak nonlinear coupling between mass flux and viscous effects when the viscous fingers grow from a slowly diffusing, nearly flat displacement front. A regular perturbation scheme combined with a similarity-separation of variables technique leads to a Landau equation for the amplitude of the disturbance. The Landau constant has a simple pole for a given wavenumber within the linear theory cutoff wavenumber for growth. An argument is given that this pole leads to pairing of fingers while the instability remains small. Comparison of the length scale of the pole of the Landau constant with experimental measurements of finger scale shows good agreement where plausibly finite-amplitude effects might come into play, but with the linear theory otherwise.

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