Математика и физика. Mathematics & Physics. 2016 9 (1)
Ресурсы коллекции
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On Invariant Estimates for Oscillatory Integrals with Polynomial Phase
(Сибирский федеральный университет. Siberian Federal University., 2016-03)In this paper we consider estimates for trigonometric (oscillatory) integrals with polynomial phase func- tion of degree three. The main result of the paper is the theorem on uniform invariant estimates for trigonometric ... -
Non Uniqueness of p-adic Gibbs Distribution for the Ising Model on the Lattice Zd
(Сибирский федеральный университет. Siberian Federal University., 2016-03)In this paper, we show non uniqueness of p-adic Gibbs distribution for the Ising model on the Zd. Moreover, we prove that a p-adic Gibbs distribution is bounded if and only if p ̸= 2 -
On Decomposition of Sub-definite Partial Boolean Functions
(Сибирский федеральный университет. Siberian Federal University., 2016-03)In this article we study Boolean functions with two kinds of indeterminacy. We prove criterion of decomposition of this functions including separating decomposition. As a result we have method that allows to obtain ... -
Phases of Anionic Ordering in Elpasolite Structures (Ordered Perovskites)
(Сибирский федеральный университет. Siberian Federal University., 2016-03)The 108 dissymmetric phases were obtained as a result of X anions ordering in elpasolite structure A2BB ′ X6 (ordered perovskite) using group theoretical methods. The critical order parameters which transform according ... -
Numerical Investigation of Solutions to a Reaction-diffusion System with Variable Density
(Сибирский федеральный университет. Siberian Federal University., 2016-03)In this paper we demonstrate the possibilities of the self-similar and approximately self-similar approaches for studying solutions of a nonlinear mutual reaction-diffusion system. The asymptotic behavior of com- pactly ... -
Stochastic Generation of Bursting Oscillations in the Three-dimensional Hindmarsh–Rose Model
(Сибирский федеральный университет. Siberian Federal University., 2016-03)We study the effect of random disturbances on the dynamics of the three-dimensional Hindmarsh–Rose model of neuronal activity. Due to the strong nonlinearity, even the original deterministic system ex- hibits diverse and ... -
On Interpolation in the Class of Analytic Functions in the Unit Disk with the Nevanlinna Characteristic from Lp-spaces
(Сибирский федеральный университет. Siberian Federal University., 2016-03)In this paper we solve the interpolation problem for the class of analytic functions in the unit disk with the Nevanlinna characteristic from Lp-spaces under the condition that interpolation nodes are contained in a ... -
Computer Simulation and Optimization of Soil Thawing Using Microwave Energy
(Сибирский федеральный университет. Siberian Federal University., 2016-03)The article describes a mathematical model and numerical method for calculating and optimizing the speed of soil thawing using microwave energy. The main numerical method is the enthalpy method without smoothing concentrated ... -
Modeling of Two-layer Fluid Flows with Evaporation at the Interface in the Presence of the Anomalous Thermocapillary Effect
(Сибирский федеральный университет. Siberian Federal University., 2016-03)Modeling of Two-layer Fluid Flows with Evaporation at the Interface in the Presence of the Anomalous Thermocapillary Effect -
Existence Criteria in Some Extremum Problems Involving Eigenvalues of Elliptic Operators
(Сибирский федеральный университет. Siberian Federal University., 2016-03)Some existence criteria for a certrain class of extremum problems involving eigenvalues of linear elliptic boundary-value problems (including ones in the form of variational inequalities) are proved. The approach applied ... -
On One Two-dimensional Stationary Flow of a Binary Mixture and Viscous Fluid in a Plane Layer
(Сибирский федеральный университет. Siberian Federal University, 2016-03)Nonlinear model of convection in Oberbeck-Boussinesq approximation describing the flat joint motion of a binary mixture and viscous fluid with a common interface is investigated. It is important that the longitudinal ... -
On Limit Distribution of Sums of Random Variables
(Сибирский федеральный университет. Siberian Federal University, 2016-03)Centered Rademacher sequences and centered sequences of lattice random variables with a non-trivial weak limit of the sums p1 n Σn i=1 i are considered in the article. A general form of limit distribution is found ... -
On the Dynamics of a Class of Kolmogorov Systems
(Сибирский федеральный университет. Siberian Federal University., 2016-03)In this paper we charaterize the integrability and the non-existence of limit cycles of Kolmogorov systems of the form 8 < : x ′ = x ( P (x; y) + √ R(x; y) ) ; y ′ = y ( Q(x; y) + √ R(x; y) ) ; where ... -
Collective Bionic Algorithm with Biogeography Based Migration Operator for Binary Optimization
(Сибирский федеральный университет. Siberian Federal University., 2016-03)The meta-heuristic called Co-Operation of Biology Related Algorithms (COBRA) developed earlier for solving real-valued optimization problems has also been modified for solving optimization problems with bi- nary variables ...