Математика и физика. Mathematics & Physics. 2021 14 (1)
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The Response of a Poroelastic Ice Plate to an External Pressure
(Сибирский федеральный университет. Siberian Federal University, 2021-01)The response of a poroelastic ice cover to an external load is considered. The ice cover is modeled by a thin poroelastic floating plate within the linear theory of hydroelasticity. The porosity parameter is defined as ... -
Mathematical Model of Fluids Motion in Poroelastic Snow-ice Cover
(Сибирский федеральный университет. Siberian Federal University, 2021-01)The dynamics of a snow-ice cover is considered within the theory of poroelasticity. The snow-ice cover is modeled by a three-phase medium consisting of water, air and ice. The governing equations are the equations of ... -
Ring Current Proton Dynamics Driven by Wave-Particle Interactions During a Nonstorm Period
(Сибирский федеральный университет. Siberian Federal University, 2021-01)Modeling of pitch angle scattering of ring current protons at interaction with electromagnetic ion cyclotron waves during a nonstorm period was considered very seldom. Therefore it is used correlated observation of ... -
A Note on Computation MTs with Time in Instructions or with Tapes of Fixed Length
(Сибирский федеральный университет. Siberian Federal University, 2021-01)In this short note we analyze the computation algorithms modelled by Church-Turing-Post machines with algorithms for computation which use amount of time spent for computation (number of steps) in their own definitions. ... -
Construction of Exact Solution Describing Three-layer Flows with Evaporation in a Horizontal Channel
(Сибирский федеральный университет. Siberian Federal University, 2021-01)The paper considers the flow in a three-layer system "liquid–liquid–gas" in a horizontal chan- nel with solid impermeable walls.The evaporation process at the thermocapillary interface of the liquid and gas is taken into ... -
Mass Transfer Between the Vortex Ring and the Surrounding Fluid, when the Density of the Fluid in the Vortex is Less than Outside it
(Сибирский федеральный университет. Siberian Federal University, 2021-01)The mass transfer between the atmosphere of a vortex ring and the surrounding liquid was studied by the shadow method in the case, when the density of the liquid in the vortex is less than outside it. The obtained results ... -
Numerical Modelling of Slow Motion of a Granular Medium
(Сибирский федеральный университет. Siberian Federal University, 2021-01)The aim of this work is to find approximate analytic solution of the problem of granular medium motion in a convergent channel, to develop computational algorithm based on the finite element method, and to carry out ... -
Modelling the Ionic Conductivity of Nanopores with Electrically Conductive Surface
(Сибирский федеральный университет. Siberian Federal University, 2021-01)The ionic conductivity of nanopores with electrically conductive surface is investigated theoretically. The generalization of two-dimensional (2D) Space–charge model to calculating the ion transport under the applied ... -
Integral Representation and the Computation of Multiple Combinatorial Sums from Hall’s Commutator Theory
(Сибирский федеральный университет. Siberian Federal University, 2021-01)In this paper we prove a series of combinatorial identities arising from computing the exponents of the commutators in P. Hall’s collection formula. We also compute a sum in closed form that arises from using the collection ... -
Problem of Determining a Multidimensional Kernel in One Parabolic Integro–differential Equation
(Сибирский федеральный университет. Siberian Federal University, 2021-01)The multidimensional parabolic integro-differential equation with the time-convolution in- tegral on the right side is considered. The direct problem is represented by the Cauchy problem for this equation. In this paper ... -
Influence of Uniaxial Pressure on the Characteristics of Lamb and SH-wave Propagation in LiNbO₃ Crystalline Plates
(Сибирский федеральный университет. Siberian Federal University, 2021-01)Theoretical study of uniaxial pressure influence on the propagation characteristics of Lamb and SH-waves in lithium niobate plate is carried out. Electromechanical coupling coefficients and controlling coefficients of the ... -
High-Temperature Evolution of the Magnetization of Aluminum Reduction Cell Steel
(Сибирский федеральный университет. Siberian Federal University, 2021-01)The magnetic properties of steel of a structural element of an aluminum reduction cell have been investigated in the temperature range of 300–900 K. The analysis of the temperature dependence of the saturation magnetization ... -
On a Limiting Passage as the Thickness of a Rigid Inclusions in an Equilibrium Problem for a Kirchhoff-Love Plate with a Crack
(Сибирский федеральный университет. Siberian Federal University, 2021-01)The paper considers equilibrium models of Kirchhoff-Love plates with rigid inclusions of two types. The first type of inclusion is described by three-dimensional sets, the second one corresponds to a cylindrical rigid ...