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The couple of Liouville-Boltzmann and Poisson equations governing densely populated systems

eBook (PDF), 12 Pages
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A method to resolve both Liouville-Boltzmann and Poisson equations is developed. A Fourier transform on the velocity space introduces the spectral equation. Next a Fourier transform with respect to the radial distance leads to one and fundamental differential equation which describes the evolution of spherically symmetric systems of many bodies subject to their own gravity. The consideration of other Fourier transforms is suggested by using this original method, in the case of general systems notably. This method is a natural alternative to fluid-dynamical approach since the successive velocity distribution moments simply follow from derivation.
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Product Details

Publisher
Yves R Talpaert
Published
November 3, 2011
Language
English
Pages
12
File Format
PDF
File Size
249.94 KB

Formats for this Ebook

PDF
Required Software Any PDF Reader, Apple Preview
Supported Devices Windows PC/PocketPC, Mac OS, Linux OS, Apple iPhone/iPod Touch... (See More)
# of Devices Unlimited
Flowing Text / Pages Pages
Printable? Yes
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