Математика и физика. Mathematics & Physics. 2014 7 (3)
Ресурсы коллекции
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On Creeping Motion of Binary Mixture in a Tube with Rectangular Cross-Section
(Сибирский федеральный университет. Siberian Federal University., 2014-07)The problem of motion of a binary mixture in a tube with rectangular cross-section is considered in the paper. Exact stationary and non-stationary solutions are obtained. Solutions are presented in the form of series. ... -
Determination of Mechanical Force between two Planar Inductors in the Problem of Electrodynamic Excitation of Seismic Waves
(Сибирский федеральный университет. Siberian Federal University., 2014-07)The paper deals with the problem of mechanical interaction between two planar inductors. The results of experiments and simulations are presented -
On a New Embedding Theorem in Analytic Bergman Type Spaces in Bounded Strictly Pseudoconvex Domains of n-dimensional Complex Space
(Сибирский федеральный университет. Siberian Federal University., 2014-07)Some new sharp assertions concerning Carleson type embeddings in analytic spaces on bounded strictly pseudoconvex domains with smooth boundary will be provided. We extend previously known in the unit ball assertions -
New Approaches to the Analysis of the Elementary Reactions Kinetics
(Сибирский федеральный университет. Siberian Federal University., 2014-07)We consider an alternative implementation of reaction progress kinetic analysis based on physically rig- orous models of chemical kinetics. In addition we investigate the adaptation of dimensional kinetic constants of ... -
Problems on Structure for Quasifields of Orders 16 and 32
(Сибирский федеральный университет. Siberian Federal University., 2014-07)Well-known method of the construction of finite projective translation planes (analogously, semifield planes) uses their correspondence with quasifields (resp., semifields). We distinguish certain questions on the structure ... -
Risk Aversion for Defining Elliptic Acceptance Sets in the Model of Generalized Coherent Risk Measures
(Сибирский федеральный университет. Siberian Federal University., 2014-07)Within the framework of generalized coherent risk measures the properties of acceptance sets are exam- ined. The class of elliptic cones is developed for representing individual preferences. The article presents the ... -
Conditions for Convergence of the Mellin-Barnes Integral for Solution to System of Algebraic Equations
(Сибирский федеральный университет. Siberian Federal University., 2014-07)In the article we consider the Mellin-Barnes integral that corresponds to a monomial function of a solution to a system of n algebraic equations in n unknowns. We obtain the necessary condition for the convergence domain ... -
Univalent Differentials of Integer Order on Variable Torus
(Сибирский федеральный университет. Siberian Federal University., 2014-07)In this paper we give a full description for divisors of elementary differentials of all kinds. An analog of Appell’s expansion formula for univalent functions on a variable torus is obtained. All basic type of vector ... -
Generator of Solutions for 2D Navier-Stokes Equations
(Сибирский федеральный университет. Siberian Federal University., 2014-07)On the paper under consideration the investigation of Navier-Stokes equations for 2D viscous incom- pressible fluid flow is present. An analysis is based on the first integral of these equations. It is revealed that all ... -
On Minimal Cubature Formulas Exact for Haar Polynomials of Low Degrees in the Two-Dimensional Case
(Сибирский федеральный университет. Siberian Federal University., 2014-07)A lower estimate for number of nodes of cubature formulas possessing the Haar d-property (d > 2) is obtained in the two-dimensional case. Examples of minimal cubature formulas with Haar d-property for d = 2 and d = 3 are given -
Asymptotic Behavior at Infinity of the Dirichlet Problem Solution of the 2k Order Equation in a Layer
(Сибирский федеральный университет. Siberian Federal University., 2014-07)For the operator (− )ku(x) + 2ku(x) with x 2 Rn(n > 2, k > 2) an explicit fundamental solution is obtained, and for the equation (− )ku(x) + 2ku(x) = f(x) (for f 2 C1(Rn) with compact support) the leading term of an ... -
The Bergman and Cauchy–Szego Kernels for Matrix Ball of the Second Type
(Сибирский федеральный университет. Siberian Federal University., 2014-07)With the use of holomorphic automorphism of the matrix ball of the second type the validity of the integral Bergman and Cauchy–Sege formulae is proven in this article -
New Periodic Gibbs Measures for q-state Potts Model on a Cayley Tree
(Сибирский федеральный университет. Siberian Federal University., 2014-07)In this paper under some conditions on parameters of the q-state Potts model on a Cayley tree of order k we prove existence of the periodic (non translation-invariant) Gibbs measures. Also we give a result about the ... -
Limit Theorem for the Joint Distribution in the Q-processes
(Сибирский федеральный университет. Siberian Federal University., 2014-07)The Q-process is considered in this paper. A link between the Q-process and the Galton-Watson branching process allowing immigration is established in the paper. Due to this link the limit theorem on the joint distribution ... -
Determination of Source Functions in Composite Type System of Equations
(Сибирский федеральный университет. Siberian Federal University., 2014-07)The problem of identification of the source function for semievolutionary system of two partial differential equations is considered in the paper. The investigated system of equations is obtained from the original system ...