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Mathematical Vindications of the Jeans Swindle

Oct, 1999
11 pages
Published in:
  • Adv.Appl.Math. 31 (2003) 132-149
e-Print:
DOI:
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Abstract: (arXiv)
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.
Note:
  • Expanded version appears under 'The Jeans Swindle. A True Story: Mathematically Speaking'
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