Журнал СФУ. Математика и физика. Journal of SibFU. Mathematics & Physics: Новые ресурсы

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    • Solid-phase Synthesis and Photocatalytic Properties of Bi2SiO5/Bi12SiO20 Heterostructures 

      Golubovskaya, Aleksandra G.; Kharlamova, Tamara S.; Svetlichnyi, Valery A.; Голубовская, Александра Г.; Харламова, Тамара С.; Светличный, Валерий А. (Journal of Siberian Federal University. Сибирский федеральный университет, 2025-06)
      In this work, a new approach to the preparation of heterostructured nanoparticles (NPs) based on bismuth silicates Bi2SiO5/Bi12SiO20 is proposed and implemented. This approach is based on solid-phase synthesis by annealing ...

    • Some Remarks and Corrections of Recent Results from the Framework of S-metric Spaces 

      Fetouci, Nora; Radenovi´, Stojan; Фетуси, Нора; Раденович, Стоян (Journal of Siberian Federal University. Сибирский федеральный университет, 2025-06)
      The content of this paper consists of results on Wardowski’s F -contraction within S-metric spaces. Namely, in it we present corrections to some recent results by using only the property F1 of strict increasing of the ...

    • Sommerfeld’s Method for Solving the Dynamic Rigid Stamp Indentation Problem 

      Fatyanov, Alexey G.; Фатьянов, Алексей Г. (Journal of Siberian Federal University. Сибирский федеральный университет, 2025-06)
      The work is based on Sommerfeld’s ideas in solving the diffraction problem on a mirror segment. On this basis, a new method for solving the dynamic problem for a vibrating rigid stamp is developed. The solution is sought ...

    • Spectrum Broadening of Femtosecond Radiation Pulse at 950 nm Wavelength in Material with Cubic Nonlinearity 

      Alekseev, Sergey V.; Losev, Valery F.; Grudtsyn, Yakov V.; Koribut, Andrey V.; Yalovoy, Valery I.; Алексеев, Сергей В.; Лосев, Валерий Ф.; Грудцын, Яков В.; Корибут, Андрей В.; Яловой, Валерий И. (Journal of Siberian Federal University. Сибирский федеральный университет, 2025-06)
      The conditions for spectrum broadening of 60 fs radiation pulse at a central wavelength 950 nm in fused quartz plates due to phase self-modulation are studied experimentally and theoretically. The studies are conducted ...

    • Stability of a Steady State of Closed Microecosystem «algae – heterotrophic bacteria» 

      Zolotov, Oleg A.; Chusovitina, Alexandra I.; Zalizniak, Viktor E.; Золотов, Олег А.; Чусовитина, Александра И.; Зализняк, Виктор Е. (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 

      Tokareva, Margarita A.; Papin, Alexander A.; Токарева, Маргарита А.; Папин, Александр А. (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 

      Timchenko, Elena V.; Timchenko, Pavel E.; Lyamin, Artem V.; Kayumov, Karim A.; Bazhutova, Irina V.; Volova, Larisa T.; Frolov, Oleg O.; Zotova, Alena V.; Bazhutov, Filipp R.; Тимченко, Елена В.; Тимченко, Павел Е.; Лямин, Артём В.; Каюмов, Карим А.; Бажутова, Ирина В.; Волова, Лариса Т.; Фролов, Олег О.; Зотова, Алёна В.; Бажутов, Филипп Р. (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 

      Abdulrahman A. Sharif; Maha M. Hamood; Kirtiwant P. Ghadle; Абдулрахман А. Шариф; Маха М. Хамуд; Киртивант П. Гэдл (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 

      M. Ramanamurty; Rajamahanthi Santhikumar; K. Sobhanbabu; М. Раманамурти; Раджамаханти Сантикумар; К. Собханбабу (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 

      Petrakova, Viktoriya S.; Tsipotan, Alexey S.; Петракова, Виктория С.; Ципотан, Алексей С. (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 

      Nasedkin, Andrey V.; Nasedkina, Anna A.; Наседкин, Андрей В.; Наседкина, Анна А. (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 

      Erofeev, Vladimir I.; Antonov, Artem M.; Malkhanov, Alexey O.; Ерофеев, Владимир И.; Антонов, Артем М.; Мальханов, Алексей О. (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 

      Knyazeva, Anna G.; Kryukova, Olga N.; Князева, Анна Г.; Крюкова, Ольга Н. (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 

      Ilyas Haouam; Ильяс Хауам (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 

      Guseva, Evgeniya K.; Golubev, Vasily I.; Petrov, Igor B.; Epifanov, Viktor P.; Гусева, Евгения К.; Голубев, Василий И.; Петров, Игорь Б.; Епифанов, Виктор П. (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 

      Buzurnyy, Maxim I.; Lopatin, Ilya A.; Бузурный, Максим И.; Лопатин, Илья А. (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 

      Ahmad Al-Omari; Takashi Noiri; Ахмад Аль-Омари; Такаши Ноири (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 

      Klochkov, Mikhail Yu.; Nikolaev, Anatoly P.; Pshenichkina, Valeria A.; Vakhnina, Olga V.; Andreev, Aleksandr S.; Klochkov, Yuri V.; Клочков, Михаил Ю.; Николаев, Анатолий П.; Пшеничкина, Валерия А.; Вахнина, Ольга В.; Андреев, Александр С.; Клочков, Юрий В. (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 

      Rukavishnikov, Alexey V.; Рукавишников, Алексей В. (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 

      Litavrin, Andrey V.; Moiseenkova, Tatyana V.; Литаврин, Андрей В.; Моисеенкова, Татьяна В. (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 ...