• Research of the Equations of a Viscous Inhomogeneous Fluid in a Hele-Shaw Cell by Group Analysis Method 

  Rodionov, Alexander A.; Saveliev, Nikita A.; Родионов, Александр А.; Савельев, Никита А. (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  In this paper, we have constructed the main group of transformations allowed by the system of differential equations for the flow of a viscous inhomogeneous fluid in a Hele–Shaw cell. A classifying equation for the ...

• Integral Operator of Potential Type for Infinitely Differentiable Functions 

  Myslivets, Simona G.; Мысливец, Симона Г. (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  In this paper, we prove the infinite differentiability of an integral operator of the potential type for an infinitely differentiable function defined on the boundary of a bounded domain with the boundary of the class ...

• On the Grothendieck Duality for the Space of Holomorphic Sobolev Functions 

  Levskii, Arkadii B.; Shlapunov, Alexander A.; Левский, Аркадий Б.; Шлапунов, Александр А. (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  We describe the strong dual space (Os(D)) for the space Os(D) = Hs(D) \ O(D) of holo- morphic functions from the Sobolev space Hs(D), s 2 Z, over a bounded simply connected plane domain D with infinitely differential ...

• On Property M(4) of the Graph Kn 2 + Om 

  Le Xuan Hung; Ли Хуан Ханг (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  Given a list L(v) for each vertex v, we say that the graph G is L-colorable if there is a proper vertex coloring of G where each vertex v takes its color from L(v). The graph is uniquely k-list colorable if there is a ...

• A Classical Limit for the Dirac Equation in the Context of Magueijo-Smolin Model of the Doubly Special Relativity Using the Ehrenfest’s Theorem 

  Haouam, Ilyas; Хауам, Ильяс (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  In this article, in the context of the Magueijo–Smolin model and employing Ehrenfest’s theorem, we investigate the classical limit of the Dirac equation within doubly special relativity. This leads to obtaining deformed ...

• Influence of Boundary Conditions on the Critical Parameters of Reactive Flow Ignition in a Channel with Heat Recuperation 

  Donskoy, Igor G.; Донской, Игорь Г. (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  A one-dimensional problem of reacting flow thermal stability in a U-shaped channel is studied. A finite difference scheme is proposed for this problem. Borders of domain of existence of a bounded solution are estimated. ...

• Temperature Resistance of Silver and Iron Nanoparticles 

  Damdinov, Bair B.; Ershov, Aleksandr A.; Mitypov, Chingis M.; Maximova, Olga A.; Haruk, Galina N.; Дамдинов, Баир Б.; Ершов, Александр А.; Митыпов, Чингис М.; Максимова, Ольга A.; Харук, Галина Н. (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  In this work, a study of iron and silver nanoparticles was carried out by Raman spectroscopy. The spectra were obtained by changing the temperature. The positions of individual spectral lines were found to determine the ...

• An Application of the Plane Curve’s Standard Basis to a Certain Class of Problems from Classical Mechanics 

  Bogdanova, Sophie B.; Gladkov, Sergey O.; Богданова, Софья Б.; Гладков, Сергей О. (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  It is shown that the moving basis of a curve in polar coordinates can always be considered as a right-handed reference frame moving with acceleration. A system of differential equations is obtained that describes the ...

• NEXAFS and XPS Spectra of Mn Doped Bismuth Magnesium Tantalate Pyrochlores 

  Zhuk, Nadezhda A.; Nekipelov, Sergey V.; Koroleva, Alexandra V.; Lebedev, Alexey M.; Beznosikov, Dmitriy S.; Жук, Надежда А.; Некипелов, Сергей В.; Королева, Александра В.; Лебедев, Алексей М.; Безнoсикoв, Дмитрий С. (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  According to X-ray powder phase analysis, Bi2MgxMn1_xTa2O9:5_Δ (x=0.3;0.5;0.7) samples synthesized using ceramic technology contain the main phase of cubic pyrochlore (space group Fd-3m) and the impurity phase BiTaO4 of ...

• On the Boundedness of Maximal Operators Associated with Singular Surfaces 

  Usmanov, Salim E.; Усманов, Салим Э. (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  The paper is devoted to investigate maximal operators associated with singular surfaces. It is proved the boundedness of these operators in the space Lp; when singular surfaces are given by parametric equations in R3

• Some Classes of Sets Sufficient for Holomorphic Continuation of Integrable Functions 

  Shoimkulov, Bakhodir A.; Kutlimuratov, Baymurat J.; Шоимкулов, Баходир А.; Кутлымуратов, Баймурат Ж. (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  In the present work we considers integrable functions defined on a boundary of a bounded domain D in Cn, n > 1, and possessing a generalized Morera boundary property. We show that such function possesses a holomorphic ...

• On Cyclic Interpolative Kannan- Meir-Keeler Type Contraction in Metric Spaces 

  Edraoui, Mohamed; Semami, Soukaina; El’koufi, Amine; Aamri, Mohamed; Эдрауи, Мохамед; Семами, Соукаина; Элькуфи, Амин; Аамри, Мохамед (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  This paper introduces the idea of interpolative contractions within the category of Kannan- Meir-Keeler type cyclic contractions. Additionally, we provide a demonstration establishing the existence of a fixed point in a ...

• Oscillatory Integrals for Mittag-Leffler Functions 

  Safarov, Akbar R.; Ibragimov, Ulugbek A.; Сафаров, Акбар Р.; Ибрагимов, Улугбек А. (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  Variations of the van der Corput lemmas that involve Mittag-Leffler functions are studied in this paper. The extension involves replacing the exponential function with a Mittag–Leffler-type function. It allows one to ...

• Maximal Functions and the Dirichlet Problem in the Class of m-convex Functions 

  Sadullaev, Azimbay; Sharipov, Rasulbek; Садуллаев, Азимбай; Шарипов, Расулбек (Siberian Federal University. Сибирский федеральный университет, 2024-08)

  In this work, we introduce the concept of maximal m-convex (m cv) functions and we solve the Dirichlet Problem with a given continuous boundary function for strictly m-convex domains D Rn. We prove that for the solution ...

• On the Stability of the Solutions of Inverse Problems for Elliptic Equations 

  Velisevich, Alexander V.; Lyubanova, Anna Sh.; Велисевич, Александр В.; Любанова, Анна Ш. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)

  The inverse problems on finding the unknown lower coefficient in linear and nonlinear second- order elliptic equations with integral overdetermination conditions are considered. The conditions of overdetermination are ...

• Simulation of the Process of Frost Formation on the Surface of the Heat Exchanger Fin 

  Vasil’ev, Evgeniy N.; Васильев, Евгений Н. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)

  The paper considers the process of heat and mass transfer during the flow of moist air and formation of frost in the inter-fin space of an air heat exchanger at temperature below 0oC. The mathematical model is based on ...

• On the p-fold Well-posedness of Higher Order Abstract Cauchy Problem 

  Toumi, Habiba; Nouar, Ahmed; Тоуми, Хабиба; Нуар, Ахмед (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)

  In this paper, we establish sufficient conditions for the p-fold well-posedness of higher-order abstract Cauchy problem. These conditions are expressed in terms of decay of some auxiliary pencils derived from the ...

• On Periodic Bilinear Threshold GARCH models 

  Slimani, Walid; Lescheb, Ines; Cherfaoui, Mouloud; Слимани, Валид; Лешеб, Инес; Шерфауи, Мулуд (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)

  Periodic Generalized Autoregressive Conditionally Heteroscedastic (P GARCH) models were introduced by Bollerslev et Ghysels. These models have gained considerable interest and continued to attract the attention of ...

• The Weighted Hardy Operators and Quasi-monotone Functions 

  Senouci, Abdelkader; Zanou, Abdelkader; Сенучи, Абделькадер; Зану, Абделькадер (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)

  Some Hardy-type inequalities are established by W. T. Sulaiman. The aim of this work is to extend these inequalities for weighted Hardy operators with quasi-monotone functions. Moreover some new integral weighted ...

• Admissible Inference Rules of Temporal Intransitive Logic with the Operator "tomorrow" 

  Rimatsky, Vitaliy V.; Ganchukova, Olga V.; Римацкий, Виталий В.; Ганчукова, Ольга В. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)

  We investigates non-transitive temporal logic with the "tomorrow" operator. In this logic, the operator "necessary" 2 coincides with the operator “possible” 3 (or almost coincides in reflexive case). In addition to the ...

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