Математика и физика. Mathematics & Physics. 2024 17 (2)
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Approximate Solution to a Model of the far Momentumless Axisymmetric Turbulent Wake
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)The flow in the far axisymmetric momentumless turbulent wake is described with the use of a mathematical model based on k − ε semi-empirical model of turbulence. A group-theoretical analysis of the mathematical model of ... -
Analysis of the Electric Current Distribution in a Three-Layer Conductive Structure
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)The paper presents an analytical model allowing to investigate the electric current distribu- tion in a three-layer conductive structure. The proposed model takes into account the characteristics of the three conductive ... -
Difference Equations and Hadamard Composition of Multiple Power Series
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)The sufficient conditions are given for the coefficients of two power series, which ensure the rationality of their Hadamard composition. Under certain additional constraints, the existence of a system of polynomial ... -
Cylindrically Symmetric Generalized Ghost Pilgrim Dark Energy Cosmological Univers
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)The solution of the cylindrically symmetric Einstein Rosen universe is investigated and occupied with generalized ghost pilgrim dark energy and matter. To obtain the exact solutions of Einstein’s field equations, we ... -
On a New Class of Integrals Involving Generalized Hypergeometric Functions
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)In the theory of hypergeometric and generalized hypergeometric series, classical summation theorems such as those of Gauss, Gauss second, Bailey and Kummer for the series 2F1; Watson, Dixon, Whipple and Saalsh¨uz play a ... -
Further Remarks on the Explicit Generating Function Expression of the Invariant Measure of Critical Galton-Watson Branching Systems
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)Consider the critical Galton-Watson branching system with infinite variance of the offspring law. We provide an alternative arguments against what Slack [9] did when it seeked for a local expression in the neighborhood ... -
Coincidence and Common Fixed Point Theorems for Hybrid Mappings Via C-class Function
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)In this paper, we prove common fixed point theorems for two pairs of hybrid mappings in metric spaces using the concept of C-class function and T -weak commutativity. Our Theorems generalize some well-know results -
Dual Band HTSC Power Limiter
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)A new construction of dual band HTSC power limiter is proposed. The device consists of two microstrip bandpass filters. Each filter consists of two quarter-wave resonators which couple through a composite half-wave ... -
Hysteresis Effects in the Critical Behavior of Heisenberg Thin Films in an External Oscillating Field
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)In this work, we simulated hysteresis effects in thin Heisenberg films subjected to an external oscillating field by Monte Carlo methods. It was observed that the system exhibits different types of phase transitions below ... -
A Study of the Scaling Behavior of the Two-dimensional Ising Model by Methods of Machine Learning
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)In the field of condensed matter physics, machine learning methods have become an increas- ingly important instrument for researching phase transitions. Here we present a method for calculating the universal characteristics ... -
Optimal Control for an Elastic Frictional Contact Problem
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)We consider a mathematical model which describes a frictional contact between an elastic body and a foundation. We prove the existence of a unique weak solution to the problem. Then, we study the continuous dependence ... -
Analysis of the Unstable State of a Nematic Liquid Crystal Based on a Simplified Dynamic Model
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)The Fr´eedericksz effect consisting in the reorientation of liquid crystal molecules in an extended layer under the action of inhomogeneous electric field is simulated in the paper. The constitutive equations for tangential ... -
On Hypergeometric Functions of Two Variables of Complexity One
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)For a series of examples of Horn systems and the Lauricella system for functions of two variables the description of solution of complexity one is given. Several questions are formulated -
On One Exact Solution of an Evaporative Convection Problem with the Dirichlet Boundary Conditions
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)Characteristics of steady-state convective flows of a liquid and a co-current gas flux under the conditions of inhomogeneous evaporation of the diffusive type in a flat horizontal channel are studied. A partially-invariant ... -
Thermocapillary Convection of Immiscible Liquid in a Three-dimensional Layer at Low Marangoni Numbers
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)The joint convection of two viscous heat-conducting liquids in a three-dimensional layer bounded by solid flat walls is studied. The upper wall is thermally insulated, and a non-stationary temperature field is set on the ...