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On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System
Інший ID:
2000 Mathematics Subject Classification: 82C05; 82C40
Посилання:
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.
Підтримка:
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.
Дата:
2006
Переглядів:
515
Завантажень:
252
Анотація:
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.
