Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations
We construct a cumulant representation of solutions of the Cauchy problem for the BBGKY hierarchy of equations and for the dual hierarchy of equations. We define the notion of dual nonequilibrium cluster expansion. We investigate the convergence of the constructed cluster expansions in the correspon...
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| Date: | 2002 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4170 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510304979386368 |
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| author | Gerasimenko, V. I. Ryabukha, T. V. Герасименко, В. І. Рябуха, Т. В. |
| author_facet | Gerasimenko, V. I. Ryabukha, T. V. Герасименко, В. І. Рябуха, Т. В. |
| author_sort | Gerasimenko, V. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:23:51Z |
| description | We construct a cumulant representation of solutions of the Cauchy problem for the BBGKY hierarchy of equations and for the dual hierarchy of equations. We define the notion of dual nonequilibrium cluster expansion. We investigate the convergence of the constructed cluster expansions in the corresponding functional spaces. |
| first_indexed | 2026-03-24T02:54:53Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4170 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:54:53Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d3/0188243a19830900828b7da7b9d9bcd3.pdf |
| spelling | umjimathkievua-article-41702020-03-18T20:23:51Z Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations Кумулянте зображення розв'язків ланцюжків рівнянь Боголюбова Gerasimenko, V. I. Ryabukha, T. V. Герасименко, В. І. Рябуха, Т. В. We construct a cumulant representation of solutions of the Cauchy problem for the BBGKY hierarchy of equations and for the dual hierarchy of equations. We define the notion of dual nonequilibrium cluster expansion. We investigate the convergence of the constructed cluster expansions in the corresponding functional spaces. Побудовано кумулятіїс зображення розв'язків задачі Коші ланцюжка рівнянь Боголюбова (ієрархії BBGKY) та двоїстого (дуального) ланцюжка рівнянь. Визначено поняття дуального нерівповажного розкладу. Досліджено збіжність побудованих класгерпих розкладів у відповідних функціональних просторах. Institute of Mathematics, NAS of Ukraine 2002-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4170 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 10 (2002); 1313-1328 Український математичний журнал; Том 54 № 10 (2002); 1313-1328 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4170/5049 https://umj.imath.kiev.ua/index.php/umj/article/view/4170/5050 Copyright (c) 2002 Gerasimenko V. I.; Ryabukha T. V. |
| spellingShingle | Gerasimenko, V. I. Ryabukha, T. V. Герасименко, В. І. Рябуха, Т. В. Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations |
| title | Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations |
| title_alt | Кумулянте зображення розв'язків ланцюжків рівнянь
Боголюбова |
| title_full | Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations |
| title_fullStr | Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations |
| title_full_unstemmed | Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations |
| title_short | Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations |
| title_sort | cumulant representation of solutions of the bbgky hierarchy of equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4170 |
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