Mathematical Vindications of the "Jeans Swindle"

Details Mathematical Vindications of the "Jeans Swindle" Mathematical Vindications of the "Jeans Swindle"

1999-10-13

arxiv.org/abs/astro-ph/9910247v1

Adv.Appl.Math. 31 (2003) 132-149

Astronomy and Astrophysics

Astrophysics

11 pages; An expanded version of this preprint appeared under the title: 'The "Jeans swindle." A true story -- mathematically

Scientific paper

The original Jeans dispersion relation and instability criterion are derived
by a mathematically well-defined limiting procedure. The procedure highlights
Jeans' physical reasoning and vindicates the (in)famous ``Jeans swindle.'' A
second, independent procedure is stated which yields the same result.

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