On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System
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...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2006 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146169 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System / T.V. Ryabukha // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862608492554092544 |
|---|---|
| author | Ryabukha, T.V. |
| author_facet | Ryabukha, T.V. |
| citation_txt | On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System / T.V. Ryabukha // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-11-28T17:33:31Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146169 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-28T17:33:31Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ryabukha, T.V. 2019-02-07T20:05:18Z 2019-02-07T20:05:18Z 2006 On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System / T.V. Ryabukha // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 82C05; 82C40 https://nasplib.isofts.kiev.ua/handle/123456789/146169 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. The author is pleased to thank Professor Victor Gerasimenko for many useful discussions and is grateful to the referees for helpful comments and references. This work was partially supported by the National Academy of Sciences of Ukraine through grant No 0105U005666 for young scientists and partially supported by INTAS, grant No 00-0015. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System Article published earlier |
| spellingShingle | On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System Ryabukha, T.V. |
| title | On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System |
| title_full | On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System |
| title_fullStr | On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System |
| title_full_unstemmed | On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System |
| title_short | On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System |
| title_sort | on regularized solution for bbgky hierarchy of one-dimensional infinite system |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146169 |
| work_keys_str_mv | AT ryabukhatv onregularizedsolutionforbbgkyhierarchyofonedimensionalinfinitesystem |