Stability Criteria and the Initial Value Problem for Collisionless, Guiding Center Plasma (Classic Reprint) - Hardcover

Abraham Kadish

9780267849420: Stability Criteria and the Initial Value Problem for Collisionless, Guiding Center Plasma (Classic Reprint)

Hardcover

ISBN 10: 0267849427 ISBN 13: 9780267849420

Publisher: Forgotten Books, 2018

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Stability Criteria and the Initial Value Problem for Collisionless, Guiding Center Plasma explains how a magnetized plasma behaves when small disturbances are introduced.

It shows how a guiding-center model predicts when the system stays stable or becomes unstable.

This work lays out the mathematical framework for a homogeneous, collisionless plasma and how to analyze its response using linearization, Fourier and Laplace transforms, and a uniqueness theorem. It connects microscopic particle dynamics to macroscopic field behavior, and it derives conditions that help decide stability for wide classes of steady states. The results include a fundamental one‑dimensional solution and discuss how waves propagate and damp in this setting.
What you’ll gain

A clear picture of how linearized plasma equations are formed and analyzed
An understanding of stability criteria derived from the guiding center approach
A look at how wave propagation and damping emerge from the theory
A discussion of how microscopic distributions influence overall behavior

Ideal for readers of advanced plasma physics and applied mathematics who want a rigorous, text‑level treatment that stays close to the physical setup and its implications.

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