Журнал СФУ. Математика и физика. Journal of SibFU. Mathematics & Physics
ESSN 2313-6022 (электронное издание), ISSN 1997-1397 (печатное издание)
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Stability of a Steady State of Closed Microecosystem «algae – heterotrophic bacteria»
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-04)Two models of closed microecosystem "algae–heterotrophic bacteria" are considered in this paper. Mathematical models are the Cauchy problem for system of non-linear ordinary differential equations. To develop models the ... -
Filtration of Two Immiscible Liquids in a Viscoelastic Porous Medium
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-04)Governing equations for the motion of two immiscible fluids in a poroelastic skeleton are obtained within the framework of the theory of interacting continua. The stability of the steady-state solution of the system is ... -
Raman Spectroscopy Method for Identification of Streptococci
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-04)In the modern world, various infammatory diseases of the oral cavity have become widespread, in particular periodontitis. Streptococcs are one of the potential participants in the in- fammatory process. In this work, ... -
Novel Results on Positive Solutions for Nonlinear Caputo-Hadamard Fractional Volterra-Fredholm Integro Differential Equations
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-04)In this paper, we establish the existence and uniqueness of positive solutions for fractional Volterra-Fredholm integro-differential equation. This equation incorporates Caputo–Hadamard frac- tional derivatives and is ... -
FRW Viscous Cosmological Model with Time Periodically Varying Deceleration Parameter In f (R, T)Gravity
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-04)This research paper investigates the dynamics of a Friedmann–Robertson–Walker cosmolog- ical model characterized by perfect fluid pressure and barotropic bulk viscous pressure. By obtaining exact solutions to Einstein’s ... -
Computer Simulation of Self-assembly of Structure from an Ensemble of Nanoparticles
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-04)Self-assembly is one of the methods utilized to create intricate geometry-based structures at the nanoscale. Earlier research in this field has shown that the formation of multiparticle structures using this technique ... -
Analysis of the Influence of Porosity and Non-Uniform Polarization of Piezoelectric Ceramics on the Efficiency of a Bridge Transducer as Sensor and Actuator
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-04)Flexible piezoelectric transducers, and the transducers with bridge shaped end-caps in par- ticular, have found wide application as acoustic emitters and energy harvesting devices. In this paper, we investigate the ... -
On the Velocities of Rayleigh Surface Waves Propagating along Boundaries of Generalized Continua
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-04)It is demonstrated that mathematical models of gradient-elastic medium and reduced Cosserat medium, in contrast to the model of classical deformable solid, allow one to describe experimen- tally observed dispersion of ... -
Influence of Coupling of Thermokinetic and Mechanical Processes on the Composite Synthesis on the Substrate
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-04)A coupled mathematical model for the process of a composite synthesis from a powder mixture under laser heating conditions is presented. The model takes into account two phenomena that are neglected in traditional models ... -
A Classical Aspect of the Dirac Equation in the Context of Conformable Fractional Derivative
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-04)In this article, in the context of the conformable fractional derivative (CFD) and employing Ehrenfest’s theorem, we investigate the classical limit of the Dirac equation within conformable fractional quantum mechanics. ... -
Elastoplastic Ice Model with Dynamic Damage for Simula- tion of Non-linear Processes During a Low-speed Impact
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-04)Estimation of ice deformations during dynamic loading plays a primary role in understanding many processes occurring in the Arctic region. However, the problem of choosing the most suitable model is complicated due to ... -
Another Proof of Puiseux’s Theorem on Algebraic Functions
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-04)The paper gives a simpler proof of Puiseau’s theorem on the algebraic function for polyno- mials of a special form -
Properties of mH-compact Sets in Hereditary m-Spaces
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-04)Let (X, m, H) be a hereditary m-space. A subset A of X is said to be H-compact relative to X if for every cover U of A by m-open sets of X, there exists a finite subset U0 of U such that A \ ∪ U0 ∈ H. We obtain several ... -
Physically Nonlinear Deformation of the Shell Using a Three-field FEM
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-04)A method has been developed for implementing an algorithm for determining the stress- strain state (SSS) of a thin shell based on the finite element method (FEM) in a three-field formulation under step loading. A ... -
Weighted Analogue of LBB Conditions for Solving the Stokes Problem with Model Boundary Conditions in a Domain with Singularity
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-02)In the paper the concept of a Rν -generalized solution for the Stokes problem with model boundary conditions in a domain with a corner singularity is defined. Weighted analogue of the Ladyzhenskaya-Babuska-Brezzi conditions ... -
On some Commutative and Idempotent Finite Groupoids Associated with Subnets of Multilayer Feedforward Neural Networks
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-02)The work studies commutative and idempotent finite groupoids that are associated with subnetworks of multilayer feedforward neural networks (hereinafter simply neural networks). Previously, the concept of a neural network ... -
On Weakly Contractions Via w-distances
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-02)In this article, we will check whether the known results remain valid if the metric d is replaced by the w-distance p. we show that in some contractive conditions where w-distance p participates instead of metric d, ... -
On the Aris-Amundson model
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-02)The work is devoted to the study of the real roots of the system of transcendental Aris– Amundson equations. It is shown that the number of real roots is related to the number of real roots of some entire function ... -
On Spectra and Minimal Polynomials in Finite Semifields
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-02)We apply the notion of a one-side-ordered minimal polynomial to investigations in finite semifields. A proper finite semifield has non-associative multiplication, that leads to the anomalous properties of its left and ... -
Existence of Bianchi type Cosmological Phantom universe with Polytropic EoS Parameter in Lyra’s Geometry
(Journal of Siberian Federal University. Сибирский федеральный университет, 2025-02)This study explores the Bianchi type-V cosmological model with in the frame work of general relativity, featuring a perfect fluid governed by the polytropic equation in Lyra’s Geometry, expressed p = αρ + kρn, as proposed ...