Математика и физика. Mathematics & Physics. 2024 17 (4)
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Research of the Equations of a Viscous Inhomogeneous Fluid in a Hele-Shaw Cell by Group Analysis Method
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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 ...