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

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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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Yves R Talpaert
November 3, 2011
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249.94 KB
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Printable? Yes
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