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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 053, 8 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.053 (Mi sigma81) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System

Tatiana V. Ryabukha

Institute of Mathematics of NAS of Ukraine, 3 Tereshchenkivs’ka Str., Kyiv-4, 01601 Ukraine
Full-text PDF (219 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2006.053
Abstract: We construct a regularized cumulant (semi-invariant) representation of a solution of the initial value problem for the BBGKY hierarchy for a one-dimensional infinite system of hard spheres interacting via a short-range potential. An existence theorem is proved for the initial data from the space of sequences of bounded functions.
Keywords: BBGKY hierarchy; cumulant; regularized solution.
Received: October 31, 2005; in final form April 26, 2006; Published online May 14, 2006
Bibliographic databases:
Document Type: Article
MSC: 82C05; 82C40
Language: English
Citation: Tatiana V. Ryabukha, “On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System”, SIGMA, 2 (2006), 053, 8 pp.
Citation in format AMSBIB
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