Математика и физика. Mathematics & Physics. 2019 12 (1)
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On a Transversality Condition for One Variation Problem with Moving Boundary
(Сибирский федеральный университет. Siberian Federal University, 2019-02)We give an algorithm to obtain a transversality condition for one variation problem with a moving boundary when a functional contains derivatives of order n of functions of one variable. A mathematical justification of ... -
The Critical Curves of a Doubly Nonlinear Parabolic Equation in Non-divergent form with a Source and Nonlinear Boundary Flux
(Сибирский федеральный университет. Siberian Federal University, 2019-02)The critical curves of a doubly nonlinear parabolic equation in non-divergent form with a source and nonlinear boundary flux are considered in the paper. The critical global existence curve and the critical Fujita curve ... -
Magnetic Properties of Fe₁₋ₓCoₓSi Single Crystals at Low Co Impurity Concentrations
(Сибирский федеральный университет. Siberian Federal University, 2019-02)Magnetostatic properties of FeSi and Fe0;98Co0;02Si single crystals have been studied. It has been found that the temperature and field dependences of the magnetization of monocrystal FeSi are strongly affected by ... -
Opto-acoustic and Acoustic Microscopy Studies of Microstructure, Elasticity and Defects in B₄C/C₆₀ and c-BN/C₆₀ Nanocomposites
(Сибирский федеральный университет. Siberian Federal University, 2019-02)Carbon-ceramic nanocomposites based on boron carbide with fullerene C60 (B4C/C60) and cubic boron nitride with C60 (c-BN/C60) were prepared by a high-energy ball milled pre-treatment of the initial mixture of components ... -
Extensions of Boolean Rings and Nearrings
(Сибирский федеральный университет. Siberian Federal University, 2019-02)In this paper, we introduce the notions of left (right) Boolean rings and nearrings. We give examples to show that left (right) Boolean rings are not commutative in general. We obtain interrelations among these algebraic ... -
Navier-Stokes Equations for Elliptic Complexes
(Сибирский федеральный университет. Siberian Federal University, 2019-02)We continue our study of invariant forms of the classical equations of mathematical physics, such as the Maxwell equations or the Lam´e system, on manifold with boundary. To this end we interpret them in terms of the de ... -
Pseudospectral Methods for Nonlinear Pendulum Equations
(Сибирский федеральный университет. Siberian Federal University, 2019-02)The article searched on mathematics and numerical solutions for the nonlinear pendulum (Chaotic pen- dulum). The numerical solution that was used for our research suitably the pseudospectral methods. With these equations, ... -
One Proof of the Fundamental Theorem of Algebra (of Polynomials)
(Сибирский федеральный университет. Siberian Federal University, 2019-02)One proof of the fundamental theorem of algebra (of polynomials) is given, based on the theorem on the number of zeros of an entire function -
On Application of Slowly Varying Functions with Remainder in the Theory of Galton-Watson Branching Process
(Сибирский федеральный университет. Siberian Federal University, 2019-02)We investigate an application of slowly varying functions (in sense of Karamata) in the theory of Galton- Watson branching processes. Consider the critical case so that the generating function of the per-capita offspring ... -
Chaotic Dynamics of a Three-dimensional Endomorphism
(Сибирский федеральный университет. Siberian Federal University, 2019-02)The present work describes the phases plane bifurcations of some attractors given by a noninvertible three-dimensional map. This study is conducted through the critical manifolds concepts, generalization of critical ... -
Core-shell Nanosize Particles Mg@Ni: Synthesis and Properties
(Сибирский федеральный университет. Siberian Federal University, 2019-02)In this paper, we study particles with metallic core (magnesium) – metal shell (nickel) structure, syn- thesized in metal-containing plasma of high frequency arc discharge. X-ray diffraction analysis, X-ray fluorescence ... -
One-dimensional Model for Studying Seasonal Changes of Vertical Structure of Salt Lake Uchum
(Сибирский федеральный университет. Siberian Federal University, 2019-02)Many salt lakes are meromictic, in which the water column is not mixed to the bottom for at least one year. In the stratified lake, the upper (epilimnion) and deep (hypolimnion) layers are distinguished, in which the ... -
Variational Analysis of a Dynamic Electroviscoelastic Problem with Friction
(Сибирский федеральный университет. Siberian Federal University, 2019-02)A dynamic contact problem is considered in the paper. The material behavior is described by electro- visco-elastic constitutive law with piezoelectric effects. The body is in contact with a rigide obstacle. Contact is ...