Waves of Finite Amplitude in an Infinite Homogeneous Medium.

1954 ◽  
Vol 119 ◽  
pp. 34 ◽  
Author(s):  
H. Lawrence Helfer
Keyword(s):  
Homogeneous Medium ◽  
Finite Amplitude

scholarly journals Mathematical Fundamentals of a Diagnostic Method by Long Nonlinear Waves for the Structured Media

2020 ◽  
Author(s):  
Vyacheslav Vakhnenko ◽  
Dmitri Vengrovich ◽  
Alexandre Michtchenko
Keyword(s):  
Inverse Problem ◽  
Wave Field ◽  
Nonlinear Waves ◽  
Diagnostic Method ◽  
Heterogeneous Medium ◽  
Homogeneous Medium ◽  
Finite Amplitude ◽  
Long Waves ◽  
Sufficient Information ◽  
Structured Media

We have proven that the long wave with finite amplitude responds to the structure of the medium. The heterogeneity in a medium structure always introduces additional nonlinearity in comparison with the homogeneous medium. At the same time, a question appears on the inverse problem, namely, is there sufficient information in the wave field to reconstruct the structure of the medium? It turns out that the knowledge on the evolution of nonlinear waves enables us to form the theoretical fundamentals of the diagnostic method to define the characteristics of a heterogeneous medium using the long waves of finite amplitudes (inverse problem). The mass contents of the particular components can be denoted with specified accuracy by this diagnostic method.

Evolution of Weakly Non-Linear Perturbations in Gas Suspension with Chemical Reaction

2011 ◽  
Vol 6 (3) ◽  
pp. 21-32
Author(s):  
Oleg V. Sharypov ◽  
Igor S. Anufriev
Keyword(s):  
Chemical Reaction ◽  
Homogeneous Medium ◽  
Finite Amplitude ◽  
Solid Particles ◽  
Two Phase ◽  
Non Linear Equation ◽  
Non Linear ◽  
Phase Medium ◽  
Nonequilibrium Chemical Reaction ◽  
Kinetics Of Reaction

Dynamics of weak finite-amplitude perturbations in two-phase homogeneous medium (gas + solid particles) with nonequilibrium chemical reaction in gas is studied theoretically. Weakly non-linear model of plane perturbation evolution is substantiated by the instrumentality of asymptotic approach. The model takes into account wave-kinetic interaction and dissipation effects, including inter-phase heat and momentum transfer. Stability conditions for uniform state of the system are analyzed. Non-linear equation describing evolution of plane perturbations is derived under weak dispersion and dissipation effects. Solutions of evolution equation are obtained numerically in form of steady-state oscillations. Its parameters are determined by effect of nonlinearity and by relation between dissipative property of two-phase medium and given modeling characteristics of kinetics of reaction

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
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