• Axisymmetric Ideal Fluid Flows Effectively not Being Tied to Vortex Zones 

  Vainshtein, Isaac I.; Вайнштейн, Исаак И. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  The paper formulates a model of axisymmetric flow of an ideal fluid with n effectively inviscid vortex zones, generalizing the well-known model of M. A. Lavrentiev on the gluing of vortex and potential flows in a plane ...

• To the Question of the Closure of the Carpet 

  Troyanskaya, Elizaveta N.; Троянская, Елизавета Н. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  For a root system Φ, the set A = {Ar | r ∈ Φ} of additive subgroups Ar over commutative ring K is called a carpet of type Φ if commuting two root elements xr (t), t ∈ Ar and xs(u), u ∈ As, gives a result where each factor ...

• Nonlinear Effect for Anisotropy of Charged Particle Pitch Angle Distribution at Geostationary Orbit 

  Smolin, Sergei V.; Смолин, Сергей В. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  The new phenomenological model of a prediction of perpendicular anisotropy index of charged particle pitch angle distribution at geostationary (geosynchronous) orbit (GEO) in the Earth’s magneto- sphere, and also in any ...

• Secondary Destruction of Organic Coal-water Slurry Drops at Different Temperatures in a Gas Flow 

  Shebeleva, Anna A.; Shebelev, Alexander V.; Minakov, Andrey V.; Okrugina, Anastasia K.; Шебелева, Анна А.; Шебелев, Александр В.; Минаков, Андрей В.; Округина, Анастасия К. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  A computational study of the secondary destruction of a drop of organic water-coal fuel (OCWS) in a gas flow was carried out. For the first time, the influence of the temperature of an OCWF drop, which has non-Newtonian ...

• Recovering Surface Fluxes on the Boundary of the Domain from Pointwise Measurements 

  Safonov, Egor I.; Pyatkov, Sergey G.; Parunov, Daniil A.; Сафонов, Егор И.; Пятков, Сергей Г.; Парунов, Даниил А. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  Inverse problems of recovering surface fluxes on the boundary of a domain from pointwise observations are considered. The prolbem is not well-posed in the Hadamard sense. Sharp conditions on the data ensuring existence ...

• On a New Identity for Double Sum Related to Bernoulli Numbers 

  Brahim Mittou; Брахим Митту (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  Let m, n and l be integers with 0 6 l 6 m + n. It is the main purpose of this paper to give an identity for the sum: m∑ a=0 n∑ b=0 a+b>m+n−l Bm−aBn−b (m a )(n b ) a + b + 1 ( a + b + 1 m + n − l ) , where ...

• Interval Multi-agent Logic with Reliability Operator 

  Kiyatkin, Vladimir R.; Rybakov, Vladimir V.; Кияткин, Владимир Р.; Рыбаков, Владимир В. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  We study intransitive temporal multi-agent logic with agents’ multi-valuations for formulas letters and relational models representing reliable states. This logic is defined in a semantic as a set of formulas which are ...

• Multivalued ∆-symmetric Covariant Results in Bipolar Metric Spaces 

  G. N. V. Kishore; B. Srinuvasa Rao; D. Ram Prasad; Stojan Radenovic; Г. Н. В. Кишор; Б. Шринуваса Рао; Д. Рам Прасад; Стоян Раденович (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  In this paper, we proved some coupled fixed point theorems for Hybrid pair of mappings by using ∆-symmetric covariant mappings in bipolar metric spaces. Also we give some examples which supports our results

• Symmetries of Linear and Nonlinear Partial Differential Equations 

  Kaptsov, Oleg V.; Капцов, Олег В. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  Higher symmetries and operator symmetries of linear partial differential equations are considered The higher symmetries form a Lie algebra, and operator ones form an associative algebra. The relationship between these ...

• The Dirichlet Problem in the Class of shm-functions on a Stein Manifold X 

  Imomkulov, Sevdiyar A.; Kurbonboev, Sukrotbek I.; Имомкулов, Севдияр А.; Курбонбоев, Сукротбек И. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  The purpose of this paper is to introduce and study strongly m-subharmonic (shm)functions on complex manifolds X ⊂ CN , dimX = n, n 6 N. There are different ways to define shm-functions on complex manifolds: using local ...

• On Calculation of Bending of a Thin Orthotropic Plate Using Legendre and Chebyshev Polynomials of the First Kind 

  Germider, Oksana V.; Popov, Vasily N.; Гермидер, Оксана В.; Попов, Василий Н. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  The problem of bending of a thin orthotropic rectangular plate clamped at the edges is considered in the paper. The solution is obtained using the Legendre and Chebyshev polynomials of the first kind. The function that ...

• Computer Modeling of Temperature Fields in the Soil and the Bearing Capacity of Pile Foundations of Buildings on Permafrost 

  Filimonov, Mikhail Yu.; Vaganova, Nataliia A.; Shamugia, David Zh.; Filimonova, Irina M.; Филимонов, Михаил Ю.; Ваганова, Наталия А.; Шамугия, Давид Ж.; Филимонова, Ирина М. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  Global climate warming challenges the permafrost areas losing the frozen state and stabil- ity. Industrial development and human activity in these regions also contributes to the degradation of permafrost. The construction ...

• Conversion of Cr(III) and Co(III) During the Synthesis of Co/Cr Codoped Bismuth Niobate Pyrochlore According to NEXAFS Data 

  Badanina, Ksenia A.; Nekipelov, Sergey V.; Lebedev, Alexey M.; Zhuk, Nadezhda A.; Beznosikov, Dmitriy S.; Баданина, Ксения А.; Некипелов, Сергей В.; Лебедев, Алексей М.; Жук, Надежда А.; Безнoсикoв, Дмитрий С. (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  Cubic pyrochlore of the composition Bi2Co0.5Cr0.5Nb2O9+∆ (sp. gr. Fd-3m, a = 10.4838(8) ˚A) was synthesized in several stages using a solid-phase reaction from oxide precursors at a final temper- ature of 1050 ◦С. Using ...

• On Generalized Voigt Function and its Associated Properties 

  Ulfat Ansari; Musharraf Ali; Mohd Ghayasuddin; Ульфат Ансари; Мушарраф Али; Мохд Гаясуддин (Journal of Siberian Federal University. Сибирский федеральный университет, 2024-10)

  In the present manuscript, we aim to present a new type of the generalized Voigt function, and investigate its series representations. By using the series representations of our function, we also point out some generating ...

• 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. ...

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