### Recent Submissions

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

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ...