[Text]. - Electronic data (164 Kb)
. - Режим доступа: http://icm.krasn.ru/refextra.php?id=1496. - Электрон. версия печ. публикации . - Режим доступа: http://library.krasn.ru/trudy/2000/1496gorban_PhAPoly00.pdf (Полный текст) : статья / V.B. Zmievskii, I.V. Karlin, M. Deville. - Electronic data (164 Kb) // Physica A. - 2000. - 275. - p. 152-177
Перевод заглавия: Универсальный предел в динамике разбавленных растворов полимеров
Аннотация: The method of invariant manifold is developed for a derivation of reduced description in kinetic equations of dilute polymeric solutions. It is demonstrated that this reduced description becomes universal in the limit of small Deborah and Weissenberg numbers, and it is represented by the (revised) Oldroyd 8 constants constitutive equation for the polymeric stress tensor. Coe_cients of this constitutive equation are expressed in terms of the microscopic parameters. A systematic procedure of corrections to the revised Oldroyd 8 constants equations is developed. Results are tested with simple flows.
http://icm.krasn.ru/refextra.php?id=1496,
Полный текст
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Karlin, I.V.; Карлин, Илья Вениаминович; Deville, M.; Змиевский В.Б.
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Найдено документов в текущей БД: 3
Reduced description in the reaction kinetics
[Text]. - Electronic data (133 Kb) : статья / A.N. Gorban, I.V. Karlin, V.B. Zmievskii, S.V. Dymova. - Electronic data (133 Kb) // Physica A. - 2000. - 275. - p. 361-379
Перевод заглавия: Сокращение описания в химической кинетике
Аннотация: Models of complex reactions in thermodynamically isolated systems often demonstrate evolution towards low-dimensional manifolds in the phase space. For this class of models, we suggest a direct method to construct such manifolds, and thereby to reduce the effective dimension of the problem. The approach realizes the invariance principle of the reduced description, it is based on iterations rather than on a small parameter expansion, it leads to tractable linear problems, and is consistent with thermodynamic requirements. The approach is tested with a model of catalytic reaction.
http://icm.krasn.ru/refextra.php?id=2086,
Полный текст
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Gorban, A.N.; Горбань, Александр Николаевич; Karlin, I.V.; Карлин, Илья Вениаминович; Zmievskii, V.B.; Змиевский В.Б.; Dymova, S.V.
Перевод заглавия: Сокращение описания в химической кинетике
Аннотация: Models of complex reactions in thermodynamically isolated systems often demonstrate evolution towards low-dimensional manifolds in the phase space. For this class of models, we suggest a direct method to construct such manifolds, and thereby to reduce the effective dimension of the problem. The approach realizes the invariance principle of the reduced description, it is based on iterations rather than on a small parameter expansion, it leads to tractable linear problems, and is consistent with thermodynamic requirements. The approach is tested with a model of catalytic reaction.
http://icm.krasn.ru/refextra.php?id=2086,
Полный текст
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Gorban, A.N.; Горбань, Александр Николаевич; Karlin, I.V.; Карлин, Илья Вениаминович; Zmievskii, V.B.; Змиевский В.Б.; Dymova, S.V.
Relaxation Trajectories: global approximation
[Text] : статья / A.N. Gorban [et al.] // Physica A. - 1996. - 231. - p. 648-672
Перевод заглавия: Траектории релаксации: глобальная аппроксимация
Аннотация: The paper intends to fill the gap of analytic approximate methods for non-linear space-independent dissipative systems equipped with the entropy functional. The key point of the analysis is an upper limiting state in the beginning of the relaxation. Extremal properties of this state are described and explicit estimations are derived. This limiting state is used to construct explicit approximations of the phase trajectories. Special attention is paid to accomplish positiv-ity, smoothness and the entropy growth along the approximate trajectories. The method is tested for the space-independent Boltzmann equation with various collisional mechanisms.
http://icm.krasn.ru/refextra.php?id=2092,
Полный текст
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Gorban, A.N.; Горбань, Александр Николаевич; Karlin, I.V.; Карлин, Илья Вениаминович; Nonnenmacher, T.F.; Zmievskii, V.B.; Змиевский В.Б.
Перевод заглавия: Траектории релаксации: глобальная аппроксимация
Аннотация: The paper intends to fill the gap of analytic approximate methods for non-linear space-independent dissipative systems equipped with the entropy functional. The key point of the analysis is an upper limiting state in the beginning of the relaxation. Extremal properties of this state are described and explicit estimations are derived. This limiting state is used to construct explicit approximations of the phase trajectories. Special attention is paid to accomplish positiv-ity, smoothness and the entropy growth along the approximate trajectories. The method is tested for the space-independent Boltzmann equation with various collisional mechanisms.
http://icm.krasn.ru/refextra.php?id=2092,
Полный текст
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Gorban, A.N.; Горбань, Александр Николаевич; Karlin, I.V.; Карлин, Илья Вениаминович; Nonnenmacher, T.F.; Zmievskii, V.B.; Змиевский В.Б.