Recent Submissions

  • New Classes of Solutions of Dynamical Problems of Plasticity 

    Senashov, Sergei I.; Gomonova, Olga V.; Savostyanova, Irina L.; Cherepanova, Olga N.; Сенашов, Сергей И.; Гомонова, Ольга В.; Савостьянова, Ирина Л.; Черепанова, Ольга Н. (Сибирский федеральный университет. Siberian Federal University, 2020-12)
    Dynamical problems of the theory of plasticity have not been adequately studied. Dynamical problems arise in various fields of science and engineering but the complexity of original differential equations does not allow ...
  • Patterns of Magnetohydrodynamic Flow in the Bent Channel 

    Proskurin, Alexander V.; Sagalakov, Anatoly M.; Проскурин, Александр В.; Сагалаков, Анатолий М. (Сибирский федеральный университет. Siberian Federal University, 2020-12)
    The article considers the flow patterns of an electrically-conductive fluid in a 90 degree bend. The magnetic field is directed parallel to the outlet branch of the bend. Magnetohydrodynamic equations in terms of the ...
  • Filtration of Liquid in a Non-isothermal Viscous Porous Medium 

    Papin, Alexander A.; Tokareva, Margarita A.; Virts, Rudolf A.; Папин, Александр А.; Токарева, Маргарита А.; Вирц, Рудольф А. (Сибирский федеральный университет. Siberian Federal University, 2020-12)
    The solvability of the initial-boundary value problem is proved for the system of equations of one-dimensional unsteady fluid motion in a heat-conducting viscous porous medium
  • Control of Stochastic Processes that Proceeds in the Limited Area 

    Medvedev, Alexander V.; Mikhov, Eugene D.; Медведев, Александр В.; Михов, Евгений Д. (Сибирский федеральный университет. Siberian Federal University, 2020-12)
    Stochastic process control is considered in the paper. New types of processes (H-processes) are described. Input variables are stochastically related in H-processes. The problem of identification and control of H-processes ...
  • On the Construction of Solutions to a Problem with a Free Boundary for the Non-linear Heat Equation 

    Kazakov, Alexander L.; Spevak, Lev F.; Lee, Ming-Gong; Казаков, Александр Л.; Спевак, Лев Ф.; Ли, Минг-Гонг (Сибирский федеральный университет. Siberian Federal University, 2020-12)
    The construction of solutions to the problem with a free boundary for the non-linear heat equation which have the heat wave type is considered in the paper. The feature of such solutions is that the degeneration occurs ...
  • Accuracy of Symmetric Multi-Step Methods for the Numerical Modelling of Satellite Motion 

    Karepova, Evgenia D.; Adaev, Iliya R.; Shan’ko, Yury V.; Карепова, Евгения Д.; Адаев, Илья Р.; Шанько, Юрий В. (Сибирский федеральный университет. Siberian Federal University, 2020-12)
    Stability of high-order linear multistep St¨ormer-Cowell and symmetric methods are discussed in detail in this paper. Efficient algorithms for obtaining intervals of absolute stability and periodicity are given for these ...
  • On Asymptotic Dynamical Regimes of Manakov N-soliton Trains in Adiabatic Approximation 

    Gerdjikov, Vladimir S.; Todorov, Michail D.; Герджиков, Владимир С.; Тодоров, Михаил Д. (Сибирский федеральный университет. Siberian Federal University, 2020-12)
    We analyze the dynamical behavior of the N-soliton train in the adiabatic approximation of the Manakov model. The evolution of Manakov N-soliton trains is described by the complex Toda chain (CTC) which is a completely ...
  • Three-Dimensional Simulation of a Tank Filling With a Viscous Fluid Using the VOF Method 

    Borzenko, Evgeny I.; Hegaj, Efim I.; Борзенко, Евгений И.; Хегай, Ефим И. (Сибирский федеральный университет. Siberian Federal University, 2020-12)
    This paper presents the results of 3D modeling of a Newtonian fluid flow with a free surface. The PLIC-VOF algorithm, which is developed to solve the problems of two-dimensional fluid flows with a free surface, is ...
  • On a Creeping 3D Convective Motion of Fluids with an Isothermal Interface 

    Andreev, Viktor K.; Андреев, Виктор К. (Сибирский федеральный университет. Siberian Federal University, 2020-12)
    In the work the 3D two-layer motion of liquids, the velocity field of which has a special form, is considered. The arising conjugate initial boundary value problem for the Oberbek–Boussinesq model is reduced to a system ...
  • Mixed Biharmonic Dirichlet-Neumann Problem in Exterior Domains 

    Matevossian, Hovik A.; Матевосян, Овик А. (Сибирский федеральный университет. Siberian Federal University, 2020-12)
    We study the unique solvability of the mixed Dirichlet-Neumann problem for the biharmonic equation in the exterior of a compact set under the assumption that solutions of this problem has a bounded Dirichlet integral ...
  • Almost Inner Derivations of Some Nilpotent Leibniz Algebras 

    Adashev, Zhobir K.; Kurbanbaev, Tuuelbay K.; Адашев, Жобир К.; Курбанбаев, Тууелбай К. (Сибирский федеральный университет. Siberian Federal University, 2020-12)
    We investigate almost inner derivations of some finite-dimensional nilpotent Leibniz algebras. We show the existence of almost inner derivations of Leibniz filiform non-Lie algebras differing from inner derivations, we ...
  • Upper Bounds for the Analytic Complexity of Puiseux Polynomial Solutions to Bivariate Hypergeometric Systems 

    Krasikov, Vitaly A.; Красиков, Виталий А. (Сибирский федеральный университет. Siberian Federal University, 2020-12)
    The paper deals with the analytic complexity of solutions to bivariate holonomic hypergeometric systems of the Horn type. We obtain estimates on the analytic complexity of Puiseux polynomial solutions to the hypergeometric ...
  • A Coupled Mathematical Model for the Synthesis of Composites 

    Knyazeva, Anna G.; Bukrina, Natalia V.; Князева, Анна Г.; Букрина, Наталья В. (Сибирский федеральный университет. Siberian Federal University, 2020-12)
    The work proposes a model for synthesizing a composite "metallic matrix–reinforcing inclusions". The solution is based on two algorithms demonstrating similar results. It is shown that, like in classic models of combustion, ...