Recent Submissions

  • Applications of Two Summation Theorems of Gosper for the ₅F₄ Hypergeometric Series 

    Qureshi, M. I.; Paris, R. B.; Kashif Khan, M.; Куреши, М. И.; Парис, Р. Б.; Кашиф Хан, М. (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    By means of two summation theorems of R. W. Gosper for a terminating ₅F₄ hypergeometric series of arguments 1/4 and 4, we derive two general double-series identities involving a bounded sequence of arbitrary complex ...
  • SIRV-D Optimal Control Model for COVID-19 Propagation Scenarios 

    Petrakova, Viktoriya S.; Shaydurov, Vladimir V.; Петракова, Виктория С.; Шайдуров, Владимир В. (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    The article presents the compartmental differential formulation of SIR-type for modeling the dynamics of the incidence of viral infections, in particular COVID-19, taking into account the ongoing vaccination campaign and ...
  • Explicit Formula for Sums Related to the Generalized Bernoulli Numbers 

    Brahim Mittou; Брахим Митту (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    Let be a Dirichlet character modulo a prime number p > 3 and let Bm( ) (m = 1; 2; : : :) be the generalized Bernoulli numbers associated with . Explicit formulas for the sums: Σ mod p (1)=+1; ̸= 0 Bm( )Bn( ) ...
  • Modeling of Stationary Flows of a Liquid-Gas System in an Inclined Channel Subject to Evaporation 

    Makarov, Evgeniy E.; Макаров, Евгений Е. (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    Two-layer flows of liquid and gas-vapor mixture in an inclined channel are modeled based on the system of the Oberbeck–Boussinesq convection equations taking into account the evaporation and thermodiffusion effects. A ...
  • Solution of Convection Problem in a Rotating Tube by the Fourier Method 

    Vakhrameev, Igor V.; Magdenko, Evgeniy P.; Вахрамеев, Игорь В.; Магденко, Евгений П. (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    The non-stationary boundary value problem on the motion of a fluid in a rotating cylindrical pipe is studied in this paper,. The Oberbeck-Boussinesq equations are used to describe the motion of a fluid. From a mathematical ...
  • Mathematical Modeling of the Thin Liquid Layer Runoff Process Based on Generalized Conditions at the Interface: Parametric Analysis and Numerical Solution 

    Laskovets, Ekaterina V.; Ласковец, Екатерина В. (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    The problem of a thin layer of liquid flowing down an inclined substrate under conditions of a co-current gas flow is considered. Mathematical modeling is carried out on the basis of the Navier– Stokes and heat transfer ...
  • Effective Dielectric Permeability of a Medium with Periodic Inclusions 

    Kazantsev, Vladimir P.; Zolotov, Oleg A.; Baranova, Irina A.; Zalizniak, Viktor E.; Казанцев, Владимир П.; Золотов, Олег А.; Баранова, Ирина А.; Зализняк, Виктор Е. (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    A method for estimating the effective dielectric permittivity tensor is described in the paper. The method is based on variational principle for media with periodic inclusions. It allows one to obtain upper and lower ...
  • Common Coupled Fixed Point Theorems for a Pair of Sb-metric Spaces 

    Thounaojam Indubala; Yumnam Rohen; Mohammad Saeed Khan; Nicola Fabiano; Тунаоджам Индубала; Юмнам Роэни; Мохаммад Саид Ханз; Никола Фабиано (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    In this work, we investigate the existence of common coupled fixed point and coupled coincidence points in a setting of two Sb-metric spaces. Here we use a pair of w-compatible mappings. Various results are also given ...
  • Construction of an Exact Solution of Special Type for the 3D Problem of Thermosolutal Convection in Two Layered System 

    Efimova, Marina V.; Ефимова, Марина В. (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    A three-dimensional joint flow of a liquid and a binary mixture with common interface is considered. It is assumed that the temperature field in the layers has a quadratic distribution. An exact solution of certian model ...
  • Initial Boundary Value Problem on the Motion of a Viscous Heat-Conducting Liquid in a Vertical Pipe 

    Andreev, Victor K.; Uporova, Alyona I.; Андреев, Виктор К.; Упорова, Алена И. (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    The initial-boundary value problem arising in a modeling an unsteady unidirectional convec- tive flow in vertical heat exchangers with an arbitrary cross section is researched. An a priori estimate in L2 is obtained and ...
  • Comparative Analysis of the Analytical and Numerical Solution of the Problem of Thermocapillary Convection in a Rectangular Channel 

    Andreev, Viktor K.; Pianykh, Artem A.; Андреев, Виктор К.; Пьяных, Артем А. (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    The paper compares the exact solution of one-dimensional and two-dimensional stationary convective flow equations with a free boundary for a flat liquid channel. Constant temperature gradient is set on the bottom solid ...
  • On Special Empirical Processes of Independence in Presence of Covariates 

    Abdushukurov, Abduraxim A.; Abdikalikov, Farkhad A.; Абдушукуров, Абдурахим А.; Абдикаликов, Фархад А. (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    In this paper we investigate asymptotical properties of one class of empirical processes in case of presence of covariates for a class of measurable functions
  • On Restoring a Local Lie Group by Structural Constants 

    Stepanenko, Vitaly A.; Степаненко, Виталий А. (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    A coordinate system of the 2nd kind is being built, corresponding to canonical coordinates of the 1st kind (terminology A. I. Maltsev), thereby obtaining a parametric solution of the system Lie’s equations. The integral ...
  • Spectrum of One-dimensional Eigenoscillations of Two-phase Layered Composites 

    Shumilova, Vladlena V.; Шумилова, Владлена В. (Сибирский федеральный университет. Siberian Federal University, 2023-02)
    The spectrum of one-dimensional eigenoscillations of two-phase composites with a periodic structure is studied. Their phases are isotropic elastic or viscoelastic materials, and the period consists of 2M alternating plane ...

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