Математика и физика. Mathematics & Physics. 2018 11 (5)
Ресурсы коллекции
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On the Fredholm property for the steady Navier-Stokes equations in weighted H¨older spaces
(Сибирский федеральный университет. Siberian Federal University, 2018-10)We prove that the steady Navier-Stokes equations induce a Fredholm non-linear map on the scale of H¨older spaces weighted at the infinity -
Identification of Multidimensional Technological Processes with Dependent Input Variables
(Сибирский федеральный университет. Siberian Federal University, 2018-10)In the article the problem of identification of multidimensional technological processes is studied. The question of modelling H-processes with several output variables is considered. A method of analysis of the training ... -
Noise-induced Chemical Chaos. Basic Kinetic Model and its Parametric Analysis
(Сибирский федеральный университет. Siberian Federal University, 2018-10)The basic model of non-stationary behaviour of a catalytic system is proposed. Parameters range is determined wherein oscillations are observed. It is shown that when parameters exceed the range small fluctuations of ... -
Nonlinear Methods of Statistical Analysis of Dynamics of the Tracking Systems in Radio Receivers
(Сибирский федеральный университет. Siberian Federal University, 2018-10)The article assesses the criteria ratios (required protection ratios) of the signal / noise that ensure the functioning of the radio receiving device in conditions of a noise immunity deficit with a probability of not ... -
Studies of Non-Equilibrium Relaxation Heisenberg Model with Long-Range Correlations Defects
(Сибирский федеральный университет. Siberian Federal University, 2018-10)Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Heisen- berg model with long-range correlated disorder at criticality, in the case corresponding to linear defects. Former was ... -
Modeling EPR Powder Spectra of triclinic BiNb₁₋ₓMnₓO₄₋δ
(Сибирский федеральный университет. Siberian Federal University, 2018-10)EPR of solid solutions BiNb₁₋ₓMnₓO₄₋δ in triclinic modification have been studied. The EPR spectra revealed sextet structure of Mn(II) ions with 8:4 mT splitting and some features at g = 3:80 and 1:47, and a broad diffuse ... -
On Divisibility of Some Sums of Binomial Coefficients Arising From Collection Formulas
(Сибирский федеральный университет. Siberian Federal University, 2018-10)In this paper we establish a series of identities for sums of binomial coefficients to prove their divisibility by prime n. These sums arise from exponents of commutators in collection formula for (xy)n with some restrictions ... -
Phase Velocities of Ultrasound Waves and Elastic Modules in the IIb Type Synthetic Diamond Single Crystal
(Сибирский федеральный университет. Siberian Federal University, 2018-10)First the results of experimental studies on the propagation of bulk acoustic waves (30-120 MHz) in the IIb type synthetic diamond single crystal have been presented in comparison with the appropriate data in the IIa ... -
Sequential Empirical Process of Independence
(Сибирский федеральный университет. Siberian Federal University, 2018-10)Uniform strong laws of large numbers and the central limit theorem for special sequential empirical process of independence for a certain class of measurable functions are considered in the paper. -
Possible Types of Ordering Cation Vacancies in Structures of the NiAs Type
(Сибирский федеральный университет. Siberian Federal University, 2018-10)A connection was found between the type of vacancy distribution and the magnetic properties of non- stoichiometric ferrimagnets such as pyrrhotite. Within the framework of the molecular-field approxima- tion, a theoretical ... -
Minimal Polynomials in Finite Semifields
(Сибирский федеральный университет. Siberian Federal University, 2018-10)We consider the classical notion of a minimal polynomial and apply it to investigations in finite semi- fields. A proper finite semifield has non-associative multiplication, that leads to a number of anomalous properties ... -
The Problems and Peculiarities of Modelling Integrated Systems of Heterogeneous Traffic Services
(Сибирский федеральный университет. Siberian Federal University, 2018-10)The article considers some problems and peculiarities of the modelling and rational design of heteroge- neous traffic servicing integrated systems. The aim of the article is to undertake a comparative analysis of existing ... -
Intermediate Systems and Higher-Order Differential Constraints
(Сибирский федеральный университет. Siberian Federal University, 2018-10)A method for constructing solutions of nonlinear partial differential equations with two independent variables is proposed. The method is based on the search for so-called intermediate systems, each solution of which ... -
Numerical Modelling of the Hydrothermal Regime of the Krasnoyarsk Reservoir
(Сибирский федеральный университет. Siberian Federal University, 2018-10)Mathematical models of hydrothermal processes for stratified flows in flow-through reservoirs are con- sidered in the paper. Models are based on the equations of fluid mechanics and heat transfer. They are applied to ... -
Weighted Fractional Neutral Functional Differential Equations
(Сибирский федеральный университет. Siberian Federal University, 2018-10)In this paper, we consider a weighted neutral functional differential equation of fractional order 0 < < 1, with nonzero initial values, infinite delay, and the standard Riemann-Liouville fractional derivative. By using ...