Spatially-Homogeneous Boltzmann Hierarchy as Averaged Spatially-Inhomogeneous Stochastic Boltzmann Hierarchy

We introduce the stochastic dynamics in the phase space that corresponds to the Boltzmann equation and hierarchy and is the Boltzmann–Grad limit of the Hamiltonian dynamics of systems of hard spheres. By the method of averaging over the space of positions, we derive from it the stochastic dynamics i...

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Bibliographic Details
Date:2002
Main Authors: Lampis, M., Petrina, D.Ya.
Format: Article
Language:English
Published: Інститут математики НАН України 2002
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/163703
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Spatially-Homogeneous Boltzmann Hierarchy as Averaged Spatially-Inhomogeneous Stochastic Boltzmann Hierarchy / M. Lampis, D.Ya. Petrina // Український математичний журнал. — 2002. — Т. 54, № 1. — С. 78–93. — Бібліогр.: 11 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine