Stability of nonlinear control systems: Vol. 13, by Solomon Lefschetz. 150 pages, diagrams, 6 × 9 in. New York, Academic Press, Inc., 1965. Price, $7.50

✍ Scribed by Lamberto Cesari

• Publisher: Elsevier Science
• Year: 1966
• Tongue: English
• Weight: 221 KB
• Volume: 281
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(66)90029-9

✦ Synopsis

Reviews

proximation to plasma turbulence, in which each mode is driven by its own intrinsic instability in the equilibrium, neglecting the interaction of the modes with each other. The next chapter takes up weak interaction between the modes, first in the absence of resonances and then in the presence of a sharp resonance. The third chapter treats strong turbulence, in which the coupling between modes is broad, including the weak coupling approximation and a phenomenological discussion of strong turbulence including hydrodynamic turbulence. Each of the first three chapters contains applications of the general theoretical discussion to various waves and growing modes. The fourth chapter occupies the last half of the book and is devoted to treatment of specific cases, and, in its last section, to an appraisal of the experimental information on turbulent plasma. Altogether, the review is the most comprehensive of plasma turbulence available at the present time.