Труды сотрудников ИВМ СО РАН

[Электронный ресурс]. - Электрон. дан. (499 Кб) : диссертации на соискание ученой степени кандидата-физико математических наук (перевод на английский язык) / А.Н. Горбань. - Электрон. дан. (499 Кб). - [Б. м. : б. и.], 1997. - Б. ц.
Аннотация: The paper gives the systematic analysis of singularities of transition processes in general dynamical systems. Dynamical systems depending on parameter are studied. A system of relaxation times is constructed. Each relaxation time depends on three variables: initial conditions, parameters k of the system and accuracy ? of relaxation. This system of times contains: the time before the first entering of the motion into ?-neighbourhood of the limit set, the time of final entering in this neighbourhood and the time of stay of the motion outside the ?-neighbourhood of the limit set. The singularities of relaxation times as functions of (x0; k) under fixed ? are studied. A classification of different bifurcations (explosions) of limit sets is performed. The bifurcations fall into those with appearance of new limit points and bifurcations with appearance of new limit sets at finite distance from the existing ones. The relations between the singularities of relaxation times and bifurcations of limit sets are studied. The peculiarities of dynamics which entail singularities of transition processes without bifurcations are described as well. The peculiarities of transition processes under perturbations are studied. It is shown that the perturbations simplify the situation: the interrelations between the singularities of relaxation times and other peculiarities of dynamics for general dynamical system under small perturbations are the same as for smooth two-dimensional structural stable systems.

http://icm.krasn.ru/refextra.php?id=2806


Доп.точки доступа:
Gorban A.N.
Свободных экз. нет

[Text] : статья / A.N. Gorban, I.V. Karlin, P. Ilg, H.C. Ottinger // Journal of Non-Newtonian Fluid Mechanics. - 2001. - Vol. 96, Iss. 1-2. - p. 203-219
Аннотация: We give a compact non-technical presentation of two basic principles for reducing the description of nonequilibrium systems based on the quasi-equilibrium approximation. These two principles are: construction of invariant manifolds for the dissipative microscopic dynamics, and coarse-graining for the entropy-conserving microscopic dynamics. Two new results are presented: first, an application of the invariance principle to hybridization of micro-macro integration schemes is introduced, and is illustrated with non-linear dumbbell models; second, Ehrenfest's coarse-graining is extended to general quasi-equilibrium approximations, which gives the simplest way to derive dissipative equations from the Liouville equation in the short memory approximation.

http://icm.krasn.ru/refextra.php?id=1808,
Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Karlin, I.V.; Карлин, Илья Вениаминович; Ilg, P.; Ottinger, H.C.; Горбань, Александр Николаевич

[Text] : статья / A.N. Gorban, I.V. Karlin // Physical review E. - 2002. - Vol. 65. - Ст. 026116. - p. 1-5DOI 10.1103/PhysRevE.65.026116
   Перевод заглавия: Получение макроскопической динамики с помощью огрубления: точно решаемый пример
Аннотация: The recently derived fluctuation-dissipation formula (A. N. Gorban et al., Phys. Rev. E 63, 066124 ~2001) is illustrated by the explicit computation for McKean's kinetic model (H. P. McKean, J. Math. Phys. 8, 547 ~1967). It is demonstrated that the result is identical, on the one hand, to the sum of the Chapman-Enskog expansion, and, on the other hand, to the exact solution of the invariance equation. The equality between all three results holds up to the crossover from the hydrodynamic to the kinetic domain.

http://icm.krasn.ru/refextra.php?id=2087,
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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Karlin, I.V.; Карлин, Илья Вениаминович; Горбань, Александр Николаевич

[Electronic resource]. - Electronic data (640 Kb)
. - Режим доступа: http://icm.krasn.ru/refextra.php?id=2109. - Электрон. версия печ. публикации . - Режим доступа: http://www.wkap.nl/prod/b/0-306-47401-8 : научное издание / A.N. Gorban, I.V. Karlin. - Electronic data (640 Kb) // Recent Developments in Mathematical and Experimental Physics, Volume C: Hydrodynamics and Dynamical Systems. - Dordrecht : Kluwer, 2002. - p. 19-43
   Перевод заглавия: Геометрия необратимости
Аннотация: A general geometrical setting of nonequilibrium thermodynamics is developed. The approach is based on the notion of the natural projection which generalizes Ehrenfests' coarse-graining. It is demonstrated how derivations of irreversible macroscopic dynamics from the microscopic theories can be addressed through a study of stability of quasiequilibrium manifolds.

http://icm.krasn.ru/refextra.php?id=2109,
http://www.wkap.nl/prod/b/0-306-47401-8


Доп.точки доступа:
Karlin, I.V.; Карлин, Илья Вениаминович; Горбань, Александр Николаевич

[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.

[Text]. - Electronic data (45 Kb)
. - Режим доступа: http://icm.krasn.ru/refextra.php?id=2110. - Электрон. версия печ. публикации . - Режим доступа: http://library.krasn.ru/trudy/1998/2110gorban_PREMomMIM98.pdf (Полный текст) : статья / I.V. Karlin, A.N. Gorban, G. Dukek, T.F. Nonnenmacher. - Electronic data (45 Kb) // Physical review E. - 1998. - Vol. 57, № 2. - p. 1668-1672
   Перевод заглавия: Динамические поправки к моментным приближениям
Аннотация: Considering the Grad moment ansatz as a suitable first approximation to a closed finite-moment dynamics, the correction is derived from the Boltzmann equation. The correction consists of two parts, local and nonlocal. Locally corrected thirteen-moment equations are demonstrated to contain exact transport coefficients. Equations resulting from the nonlocal correction give a microscopic justification to some phenomenological theories of extended hydrodynamics

http://icm.krasn.ru/refextra.php?id=2110,
Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Gorban, A.N.; Горбань, Александр Николаевич; Dukek, G.; Nonnenmacher, T.F.; Карлин, Илья Вениаминович

[Electronic resource] : научное издание / A.N. Gorban, I.V. Karlin // arXiv:cond-mat/0207231. - 2002. - Vol.1 : комбин.
   Перевод заглавия: Метод инвариантного многообразия в химической кинетике

ГРНТИ

29.17

Аннотация: In this paper, we review the construction of low-dimensional manifolds of reduced description for equations of chemical kinetics from the standpoint of the method of invariant manifold (MIM). MIM is based on a formulation of the condition of invariance as an equation, and its solution by Newton iterations. A review of existing alternative methods is extended by a thermodynamically consistent version of the method of intrinsic low-dimensional manifolds. A grid-based version of MIM is developed, and model extensions of low-dimensional dynamics are described. Generalizations to open systems are suggested. The set of methods covered makes it possible to effectively reduce description in chemical kinetics.

http://icm.krasn.ru/refextra.php?id=2106


Доп.точки доступа:
Karlin, I.V.; Карлин, Илья Вениаминович; Горбань, Александр Николаевич

[Текст] : статья / Е.С. Кирик и др. // Журнал СФУ. Математика и физика. - 2009. - Т.2, №.3. - С. 271-278


Доп.точки доступа:
Юргельян, Т.Б.; Круглов, Д.В.

[Text] : статья / E.N. Gromozova, S.V. Voychuk, M.G. Sadovskii // International Journal of Quantum Chemistry. - 2010. - Vol. 110, № 1. - p. 242-251DOI 10.1002/qua.22050 . -

Полный текст на сайте правообладателя


Доп.точки доступа:
Voychuk, S.V.; Sadovskii, M.G.; Садовский, Михаил Георгиевич

[Text] : статья / A. P. Shevyrnogov, G. S. Vysotskaya // Conference on Remote Sensing of the Ocean, Sea Ice, Coastal Waters, and Large Water Regions. Proceedings of SPIE. - 2011. - Vol. 8175 . - Ст. 817517DOI 10.1117/12.897819 . -

Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Vysotskaya, G.S.; Высоцкая, Галина Степановна

[Text] : тезисы доклада / G.S. Vysotskaya, A.P. Shevyrnogov // EMS Annual Meeting Abstracts. - 2011. - Vol. 8. - p. 364

Тезисы доклада

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Shevyrnogov, A.P.; Высоцкая, Галина Степановна

[Text] : труды конференции / E.S. Kirik, Т.Yurgelyan, A.V. Malyshev // Proceedings of the International Scientific and Technical conference «Emergency evacuation of people from buildings». - Warsaw, 2011. - p. 155–161 . - ISBN 978-83-61208-83-9

Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Yurgelyan, T.; Malyshev, A.V.; Малышев, Андрей Валерьевич; Кирик, Екатерина Сергеевна

[Text] : статья / E.S. Kirik, Т. Yurgelyan, D. Krouglov // Cybernetics and Systems. - 2011. - Vol. 42, Iss. 1. - Ст. PII 931924709. - p. 1-15, DOI 10.1080/01969722.2011.532636 . - ISSN 0196-9722

Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Yurgelyan, T.; Krouglov, D.; Кирик, Екатерина Сергеевна

[Text] : монография / V.K. Andreev, Y.A. Gaponenko, O.N. Goncharova, V.V. Pukhnachev. - Berlin [etc.] : Walter de Gruyter, 2012. - XV, 417 p. - (De Gruyter Studies in Mathematical Physics ; 5). - Библиогр.: с. 401-414. - Указ.: с. 415-420. - ISBN 978-3110258141 : Б. ц. - DOI 10.1515/9783110258592
Аннотация: Phenomena of convection are abundant in nature as well as in industry. This volume addresses the subject of convection from the point of view of both, theory and application. While the first three chapters provide a refresher on fluid dynamics and heat transfer theory, the rest of the book describes the modern developments in theory. Thus it brings the reader to the "front" of the modern research. This monograph provides the theoretical foundation on a topic relevant to metallurgy, ecology, meteorology, geo-and astrophysics, aerospace industry, chemistry, crystal physics, and many other fields

Текст на сайте издателя


Доп.точки доступа:
Gaponenko, Y.A.; Гапоненко, Юрий Анатольевич; Goncharova, O.N.; Гончарова, Ольга Николаевна; Pukhnachev, V.V.; Пухначев, Владислав Васильевич; Андреев, Виктор Константинович
Свободных экз. нет

[Electronic resource]. - Electronic text data : статья / A. N. Gorban. - Electronic text data // Electronic Journal of Differential Equations. - 1997. - Translation of Candidat (Ph.D) Thesis
Аннотация: The paper gives a systematic analysis of singularities of transition processes in dynamical systems. General dynamical systems with dependence on parameter are studied. A system of relaxation times is constructed. Each relaxation time depends on three variables: initial conditions, parameters k of the system and accuracy ε of the relaxation. The singularities of relaxation times as functions of (x0,k) under fixed ε are studied. The classification of different bifurcations (explosions) of limit sets is performed. The relations between the singularities of relaxation times and bifurcations of limit sets are studied. The peculiarities of dynamics which entail singularities of transition processes without bifurcations are described as well. The analogue of the Smale order for general dynamical systems under perturbations is constructed. It is shown that the perturbations simplify the situation: the interrelations between the singularities of relaxation times and other peculiarities of dynamics for general dynamical system under small perturbations are the same as for the Morse-Smale systems.

Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Горбань, Александр Николаевич

[Text] : статья / M.Desroche [et al.] // J. Geophys. Res-Space Phys. - 2013. - Vol. 118, Is. 6. - P3087-3095, DOI 10.1002/jgra.50294. - Cited References: 43. - The authors thank Chris Arridge for initially suggesting this project. The authors are thankful to Adam Masters, Bob Ergun, Jack Gosling, Martin Goldman, and Dmitri Uzdensky for helpful discussions and guidance. This work was supported by NASA's NESSF program. N.V. Erkaev acknowledges support by the RFBR grant No 12-05-00152-a. . - 9. - ISSN 2169-9380РУБ Astronomy & Astrophysics

Аннотация: Using idealized models of the magnetosheath and magnetospheric magnetic fields, plasma densities, and plasma flow, we test for the steady state viability of processes mediating the interaction between the solar wind and the magnetosphere of Saturn. The magnetopause is modeled as an asymmetric paraboloid with a standoff distance of approximate to 25R(S). We test where on the magnetopause surface largescale reconnection may be affected by either a shear flow or diamagnetic drift due to a pressure gradient across the magnetopause boundary. We also test for the onset of the KelvinHelmholtz instability. We find that, for the solar wind and magnetosphere states considered, reconnection is inhibited on the dawn flank due to the large shear flows in this region. Additionally, most of the dawn and dusk equatorial region of the magnetopause is KelvinHelmholtz unstable, due to the presence of the dense magnetospheric plasma sheet and weak magnetic fields on either side of the magnetopause. This study is a followup to a previously published study of the solar wind interaction with Jupiter's magnetosphere.


Доп.точки доступа:
Desroche, M.; Bagenal, F.; Delamere, P.A.; Erkaev, N.V.; Еркаев, Николай Васильевич; NASA's NESSF program; RFBR [12-05-00152-a]

/ O.V. Kaptsov [et al.] // J. Appl. Mech. Tech. Phys. - 2012. - Vol. 53, Is. 5. - pp. 672-678, DOI 10.1134/S0021894412050069. - Cited References: 16. - This work was supported by the Russian Foundation for Basic Research (Grants Nos. 10-01-00435-a and 11-01-09368-mob_z), by the Council on Grants of the President of the Russian Federation for Support of Leading Scientific Schools (Grants Nos. NSh-544.2012.1 and NSh-6293.2012.9), and by the Russian Academy of Sciences (Integration Project No. 103 (Siberian, Far-East, and Ural Branches)). . - 7. - ISSN 0021-8944РУБ Mechanics + Physics, Applied

Аннотация: A mathematical model of the far turbulent wake behind a towed body in a passively stratified medium, based on the known semi-empirical e-E > model of turbulence, is considered. A grouptheoretical analysis of the model is performed. With the help of the method of B-determining equations, the model is reduced to a system of ordinary differential equations, which is solved numerically. The resultant solution is compared with a self-similar solution obtained by direct numerical integration of the differential equations at large distances from the body.


Доп.точки доступа:
Kaptsov, O.V.; Капцов, Олег Викторович; Fomina, A.V.; Chernykh, G.G.; Schmidt, A.V.; Шмидт, Алексей Владимирович

/ V.V. Shaidurov, G.I. Shchepanovskaya, V.M. Yakubovich // Russ. J. Numer. Anal. Math. Model. - 2012. - Vol. 27, Is. 6. - pp. 585-601, DOI 10.1515/rnam-2012-0034. - Cited References: 18. - The work was supported by the Russian Foundation for Basic Research (11-01-00224) and by the TRISTAM International project. . - ISSN 0927-6467РУБ Engineering, Multidisciplinary + Mathematics, Applied

Аннотация: An algorithm for numerical solution of Navier-Stokes equations for two-dimensional motion of a viscous heat-conducting gas is proposed in the paper. The discretization of the equations is performed by a combination of the method of trajectories for the substantive derivative and the finite element method with piecewise-bilinear basis functions for other summands. Results of numerical study of the supersonic flow structure are presented for a flat channel in its step expansion zone for a wide range of Mach and Reynolds numbers. Velocity and pressure fields are investigated, the vortex structure of the circulation flow is studied in the domain after the step.


Доп.точки доступа:
Shaidurov, V.V.; Шайдуров, Владимир Викторович; Shchepanovskaya, G.I.; Щепановская, Галина Ивановна; Yakubovich, M.V.; Якубович, Максим Викторович

/ V. M. Sadovskii, O. V. Sadovskaya ; ed. by T.E.Simos [et al.] // NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B. Ser. AIP Conference Proceedings : AMER INST PHYSICS, 2012. - Vol. 1479: International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) (SEP 19-25, 2012, Kos, GREECE). - pp. 1611-1614, DOI 10.1063/1.4756474. - Cited References: 4 . - ISBN 0094-243X. - ISBN 978-0-7354-1091-6РУБ Mathematics, Applied + Physics, Applied

Аннотация: Parallel program systems for numerical solution of 2D and 3D problems of the dynamics of deformable media with constitutive relationships of rather general form on the basis of universal mathematical model describing small strains of elastic, elastic-plastic and granular materials are worked out. Some computations of dynamic problems with and without taking into account the moment properties of a material were performed on supercomputers with cluster architecture.

РИНЦ


Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Sadovskaya, O.V.; Садовская, Оксана Викторовна; Simos, T.E. \ed.\; Psihoyios, G. \ed.\; Tsitouras, C. \ed.\

/ E.Kirik, T.Vitova // Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). - 2012. - Vol. 7495 LNCS: 10th International Conference on Cellular Automata for Research and Industry, ACRI 2012 (24 September 2012 through 27 September 2012, Santorini Island. - pp. 719-727, DOI 10.1007/978-3-642-33350-7-74 . -
Аннотация: In this paper a connection of a width of a bottleneck and unidirectional virtual people flow by the SIgMA.CA pedestrian movement model (stochastic Cellular Automata model) is investigated. Specific and full flow rates for different model parameters, initial densities, and bottleneck width are presented and discussed. В© 2012 Springer-Verlag Berlin Heidelberg.

Scopus


Доп.точки доступа:
Kirik, E.; Кирик, Екатерина Сергеевна; Vitova, T.