Nonlinear wave stability with collisionless shock application
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Nonlinear wave stability with collisionless shock application by Donald M. Spero

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Published in [n.p.] .
Written in English


  • Plasma stability.,
  • Shock waves.

Book details:

Edition Notes

Statementby Donald M. Spero.
LC ClassificationsQC718 .S58
The Physical Object
Pagination131 l.
Number of Pages131
ID Numbers
Open LibraryOL5226374M
LC Control Number75238221

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On the Neutral Stability of a Shock Wave in Real Media Article (PDF Available) in JETP Letters 90(1) January with 68 Reads How we measure 'reads'. Approximate techniques for dispersive shock waves in nonlinear media. shock waves or collisionless shocks, This equation arises in water wave stability theory 1 and nonlinear optics. 36 As it. The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In the s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit Cited by: Stability and instability of nonlinear waves: Introduction 1. Nonlinear Waves 2. Stability problems 3. Stability of pulses and fronts 4. Stability of periodic waves 1 Nonlinear waves • particular solutions of PDEs: – well-defined spatial and temporal structure – • observed in nature, experiments, numerical simulations • role in the File Size: KB.

He developed the linear theory of the plane SW stability on a basis of the normalmode analysis and obtained simple quantitative criteria for different types of the shock behavior: 1 1+2M (instability). The notations are the same as in [1], correct expression for Cited by: 1. This book has been cited by the following publications. Ion streaming instabilities with application to collisionless shock wave structure. Phys. Fluids, 16, Emission of nonlinear whistler waves at the front of perpendicular supercritical shocks: Cited by: 7. The area of the Stability of shock waves faction) of finite length the intensity of a shock wave increases in a small element of the surface of its front. In view of the finite length of the perturbation (rarefaction wave), its reflection takes a finite time during which the element of the shock front under investigation moves at a higher Cited by: No part of this book may be reproduced in any form by point, microfilm or any other means with-out written permission from the Tata Institute of Fundamental Research, Colaba, Bombay Printed by N. S. Ray at The Book Centre Limited, Sion East, Bombay and published by H. Goetz, Springer-Verlag, Heidelberg, West Germany Printed In.

Nonlinear Asymptotic Stability of General Small-Amplitude Viscous Laxian Shock Waves A. Matsumura, K. NishiharaOn the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas. Japan J. Appl. Math., 2 (), pp. Google Scholar. by: Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of stability and feedback stabilization methods, which enables the reader to learn and understand major techniques used in mathematical control by: NONLINEAR SHOCK ABSORBER MODEL The nonlinear shock absorber model uses control force vs. velocity data, which are generated by testing shock absorbers for known inputs. In the present study, the shock absorbers are subject to pure sine wave for a frequency sweep in MTS machine. A peak-to-peak displacement of 2mm is. The modified (model, equivalent) equation is an important tool in designing and analyzing nonlinear difference schemes. In this note, the validity of this principle is rigorously established for nonlinear shock wave solutions and the upwind scheme in a particular by: