Stability of the Resistive Sheet Pinch (Classic Reprint)

Language: English

Published by Forgotten Books, 2024

133345841X / 9781333458416

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Print on Demand. This book explores the stability of equilibria in the resistive, viscous, incompressible magnetohydrodynamic sheet pinch in a gravitational field. The author obtains necessary and sufficient conditions for their exponential stability for arbitrary (nonconstant) functions of the vertical coordinate, consistent with the equilibrium equations. The stability criteria do not depend on viscosity or resistivity. If gravity is positive anywhere, the pinch is unstable. Stability is equivalent to gravitational stability if the magnetic field or resistivity is constant. Nonconstant resistivity and insulating boundaries imply instability for small wavenumbers, preventing gravitational stabilization. However, perfectly conducting boundaries permit gravitational and magnetic stabilization for certain resistivity profiles. Notably, the author shows that imposing a properly chosen zero-order magnetic field can stabilize an unstable system with nonconstant resistivity and no gravity. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781333458416_0

Title
Stability of the Resistive Sheet Pinch (Classic Reprint)
Author
Eugene M. Barston
Publisher
Forgotten Books
Publication year
2024
Condition
New
Book Type
print-on-demand item
Binding
Paperback
Language
English
ISBN 10
133345841X
ISBN 13
9781333458416
Seller catalogs
Calculus

Forgotten Books

London, United Kingdom

5-star seller

AbeBooks seller since June 2, 2021

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Store description

Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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FB &c Ltd

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London, United Kingdom SW19 2RR