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Моделирование процессов теплопроводности и диффузии в технологиях получения и обработки материалов с использованием интенсивных источников энергии
Перспективные материалы. 2011. № 5. С. 5-11.
Yakunkin M. M.
A semiphenomenological model of the transport processes under the action of power energy sources is proposed. To explain the observed deviations of the linear system response to an external perturbation in the transport processes induced by intense energy fluxes, it is proposed to take into account the effect of inertia of the medium. The semiphenomenological model of processes is reduced to a system with two basis states. The techniques of the theory of microscopic objects for the solution of the system are applied. It is shown that the inertia of the medium is due to the finite time of establishing the equilibrium between the basis states.
Yakunkin M. M., Физика и химия обработки материалов 2010 № 3 С. 27-33
Phenomenological model of temperature field evolution and effect of the relaxation processes caused by thermally activated defects and inertia of the medium on the thermal conductivity of solids under the action of intense energy flows is presented ...
Added: April 12, 2012
Averbukh E. L., Kurkina O. E., Kurkin A. A. et al., Экологические системы и приборы 2012 № 10 С. 63-72
Рассматривается распространение и трансформация уединенных внутренних волн и их поверхностные проявления без учета и с учетом вращения Земли в рамках уравнений Гарднера и Гарднера – Островского в горизонтально-однородном и неоднородном (как по плотности, так и по глубине) стратифицированном бассейне. Динамика пленок поверхностно активных веществ в поле внутренних волн была промоделирована на основе уравнения баланса поверхностной ...
Added: October 8, 2012
Averbukh E. L., Kurkina O. E., Kurkin A. A., Вестник Московского государственного областного университета. Серия: Естественные науки 2011 № 2 С. 109-121
In this paper the numerical simulation of surfactant dynamics in the topographically trapped long waves over a cylindrical shelf is described. Numerical modeling is based on the balance equation of the surface concentration. The dynamics of impurities was considered in the advection - diffusion - relaxation model. The comparison of different models of the shelf: ...
Added: November 22, 2012
Bogachev V., Miftakhov A. F., Shaposhnikov S., Doklady Mathematics 2019 Vol. 99 No. 2 P. 175-180
Differential properties of semigroups and estimates of distances between stationary distributions of diffusions are studied. ...
Added: November 16, 2019
Sokolov V. V., Eminov P. A., Fotov K. N., Physics Procedia 2010 No. 9 P. 131-136
The dynamics of ideal ferrofluids with internal rotation and frozen-in magnetization is discussed on the basis of Poisson brackets method. The magnetization relaxation equation is derived from requirement of irreversible thermodynamics that the local rate of entropy production is positive for arbitrary field deficiency. ...
Added: December 31, 2012
Kozyrev O., Logvinova K. V., European Journal of Scientific Research 2010 Vol. 45 No. 1 P. 64-78
In this study we investigate impurity dynamics in media with random characteristics for different physical assumptions. We first discuss possible models for diffusion in porous media on the small scale. Then we describe some random processes, which are able to represent the disorder in such a medium. After that, we recall the definition of a ...
Added: January 14, 2013
Logvinova K. V., Kozyrev O., European Journal of Scientific Research 2010 Vol. 45 No. 3 P. 383-390
In this study we investigate the successive approximation procedure allowed us to derive new equation, valid for the transport of dissolved matter in porous media, or in random force fields, on the macroscopic scale. To do this the diagram technique was exploited. ...
Added: January 9, 2013
Glazov M., Physical Review B: Condensed Matter and Materials Physics 2019 Vol. 100 P. 034703-1-034703-13
We study theoretically the nonequilibrium exciton transport in monolayer transition metal dichalcogenides. We consider the situation where excitons interact with nonequilibrium phonons, e.g., under the conditions of localized excitation where a “hot spot” is formed. We develop the theory of the exciton drag by the phonons and analyze in detail the regimes of diffusive propagation ...
Added: January 13, 2021
Victor A. Vassiliev, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 2020 Vol. 16 P. 1-21
Local diffusion of strictly hyperbolic higher-order PDE's with constant coefficients at all simple singularities of corresponding wavefronts can be explained and recognized by only two local geometrical features of these wavefronts. We radically disprove the obvious conjecture extending this fact to arbitrary singularities: namely, we present examples of diffusion at all non-simple singularity classes of generic wavefronts ...
Added: March 21, 2020
Albeverio S., Danilov V., Mathematische Nachrichten 2012 Vol. 285 No. 4 P. 426-439
Using an idea going back to Madelung, we construct global in time solutions to the transport equation corresponding to the asymptotic solution of the Kolmogorov-Feller equation describing a system with diffusion, potential and jump terms. To do that we use the construction of a generalized delta-shock solution of the continuity equation for a discontinuous velocity ...
Added: December 24, 2012
Ludmila I. Kuzmina, Osipov Y., International Journal for Computational Civil and Structural Engineering 2014 Vol. 10 No. 3 P. 17-22
A size-exclusion model of solid particle capture for a flow of suspension in a porous media is considered. For a quasi-linear system of equations for the concentration of suspended and retainrd particles the asymptotic solution is constructed near the filter inlet. For linear filtration coefficient the numerical comparison of the asymptotics and the exact solution ...
Added: September 14, 2014
Morozov V. P., Труды НГТУ им. Р.Е. Алексеева 2012 Т. 95 № 2 С. 41-47
Цель работы: Нахождение асимптотического решения системы интегродифференциальных уравнений, описывающих рост и растворение твердой фазы в расплавах
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где f(a, t) – плотность зерен радиуса a, b – критический радиус. Приведенные уравнения справедливы в том случае, когда кинетика роста зерен контролируется скоростью растворения. Кроме того, делается естественное предположение, что в начальный момент времени ...
Added: March 12, 2013
Glazov M., Physical Review Letters 2020 Vol. 124 P. 166802
We study theoretically weak localization of excitons in atomically thin transition metal dichalcogenides. The constructive interference of excitonic de Broglie waves on the trajectories forming closed loops results in a decrease of the exciton diffusion coefficient. We calculate the interference contribution to the diffusion coefficient for the experimentally relevant situation of exciton scattering by acoustic ...
Added: January 13, 2021
Kotelnikova M. V., Aistov A., Вестник Нижегородского университета им. Н.И. Лобачевского. Серия: Социальные науки 2019 Т. 55 № 3 С. 183-189
The article describes a method that allows to improve the content of disciplines of the mathematical cycle by dividing them into invariant (general) and variable parts. The invariants were identified for such disciplines as «Linear algebra», «Mathematical analysis», «Probability theory and mathematical statistics» delivered to Bachelors program students of economics at several universities. Based on ...
Added: January 28, 2020
Borzykh D., ЛЕНАНД, 2021
Книга представляет собой экспресс-курс по теории вероятностей в контексте начального курса эконометрики. В курсе в максимально доступной форме изложен тот минимум, который необходим для осознанного изучения начального курса эконометрики. Данная книга может не только помочь ликвидировать пробелы в знаниях по теории вероятностей, но и позволить в первом приближении выучить предмет «с нуля». При этом, благодаря доступности изложения и небольшому объему книги, ...
Added: February 20, 2021
В. Л. Попов, Математические заметки 2017 Т. 102 № 1 С. 72-80
Мы доказываем, что аффинно-треугольные подгруппы являются борелевскими подгруппами групп Кремоны. ...
Added: May 3, 2017
Красноярск : ИВМ СО РАН, 2013
Труды Пятой Международной конференции «Системный анализ и информационные технологии» САИТ-2013 (19–25 сентября 2013 г., г.Красноярск, Россия): ...
Added: November 18, 2013
Grines V., Gurevich E., Pochinka O., Russian Mathematical Surveys 2017 Vol. 71 No. 6 P. 1146-1148
In the paper a Palis problem on finding sufficient conditions on embedding of Morse-Smale diffeomorphisms in topological flow is discussed. ...
Added: May 17, 2017
Okounkov A., Aganagic M., Moscow Mathematical Journal 2017 Vol. 17 No. 4 P. 565-600
We associate an explicit equivalent descendent insertion to any relative insertion in quantum K-theory of Nakajima varieties.
This also serves as an explicit formula for off-shell Bethe eigenfunctions for general quantum loop algebras associated to quivers and gives the general integral solution to the corresponding quantum Knizhnik Zamolodchikov and dynamical q-difference equations. ...
Added: October 25, 2018
Danilov B.R., Moscow University Computational Mathematics and Cybernetics 2013 Vol. 37 No. 4 P. 180-188
The article investigates a model of delays in a network of functional elements (a gate network) in an arbitrary finite complete basis B, where basis elements delays are arbitrary positive real numbers that are specified for each input and each set of boolean variables supplied on the other inputs. Asymptotic bounds of the form τ ...
Added: December 2, 2019
Beklemishev L. D., Оноприенко А. А., Математический сборник 2015 Т. 206 № 9 С. 3-20
We formulate some term rewriting systems in which the number of computation steps is finite for each output, but this number cannot be bounded by a provably total computable function in Peano arithmetic PA. Thus, the termination of such systems is unprovable in PA. These systems are derived from an independent combinatorial result known as the Worm ...
Added: March 13, 2016
Levashov M., Кухаренко А. В., Вопросы защиты информации 2018 № 2 С. 66-71
Рассматривается статистическая модель одного этапа системы фрод-мониторинга транзакций в интернет-банкинге. Построен и рассчитан близкий к отношению правдоподобия критерий отсева мошеннических транзакций. Для выборочных распределений, полученных на выборке объема в 1 млн реальных транзакций, вычислены параметры эффективности этого критерия. ...
Added: June 14, 2018
Min Namkung, Younghun K., Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18
Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum
states when N receivers are separately located. In this report, we propose optical designs that can
perform sequential state discrimination of two coherent states. For this purpose, we consider not
only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior
probabilities. Since ...
Added: November 16, 2020
Amerik E., Verbitsky M., / Cornell University. Series arXiv "math". 2021.
An MBM locus on a hyperkahler manifold is the union of all deformations of a minimal rational curve with negative self-intersection. MBM loci can be equivalently defined as centers of bimeromorphic contractions. It was shown that the MBM loci on deformation equivalent hyperkahler manifolds are diffeomorphic. We determine the MBM loci on a hyperkahler manifold ...
Added: April 7, 2022