Математика и физика. Mathematics & Physics. 2015 8 (3)
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Homogenization of Acoustic Equations for a Partially Perforated Elastic Material with Slightly Viscous Fluid
(Сибирский федеральный университет. Siberian Federal University., 2015-08)In this paper a mathematical model describing small oscillations of a heterogeneous medium is considered. The medium consists of a partially perforated elastic material and a slightly viscous compressible fluid filling ... -
Carleman’s Formula for a Matrix Polydisk
(Сибирский федеральный университет. Siberian Federal University., 2015-08)In this work an integral formula for a matrix polydisk is obtained. For a function from the Hardy class it allows to recover its value at any interior point from its values on a part of the Shilov boundary -
Exact Analytical Solution of One Problem on Planar Deformation of Nonlinear-Elastic Media
(Сибирский федеральный университет. Siberian Federal University., 2015-08)An analytical solution of a problem on planar deformation of isotropic incompressible nonlinear-elastic (rubber-like) media with a cylindrical cavity is constructed in quasi-static approximation. A contour of the cavity ... -
Axisymmetric Thermocapillary Motion in a Cylinder at Small Marangoni Number
(Сибирский федеральный университет. Siberian Federal University., 2015-08)The solution to the linear problem of axisymmetric thermocapillary motion of two non-miscible vis- cous fluids in a cylindrical tube is presented. Their common interface is fixed and undeformable. This problem is an ... -
Holomorphic Extension of Continuous Functions Along Finite Families of Complex Lines in a Ball
(Сибирский федеральный университет. Siberian Federal University., 2015-08)In this paper we consider continuous functions given on the boundary of a ball B of Cn, n > 1, and having one-dimensional property of holomorphic extension along the families of complex lines, passing through finite ... -
On some Inverse Problem for a Parabolic Equation with a Parameter
(Сибирский федеральный университет. Siberian Federal University., 2015-08)An inverse boundary-value problem for n-dimensional parabolic equation with a parameter is considered. Sufficient conditions for existence and uniqueness of solution in continuously differentiable class are obtained -
Crystal Structure and Magnetic Properties in Pyroxenes Li0.7Na0.3FeGe2O6
(Сибирский федеральный университет. Siberian Federal University., 2015-08)The Li0,7Na0,3FeGe2O6 solid solution has been synthesized by the solid-phase reaction. The clinopy- roxene compound has been investigated by X-ray diffraction and by bulk magnetic measurements. The structural properties ... -
Two-dimensional Motion of Binary Mixture such as Hiemenz in a Flat Layer
(Сибирский федеральный университет. Siberian Federal University., 2015-08)This paper considers solution of thermal diffusion equations in a special type, which describes two- dimensional motion of binary mixture in a flat channel. Substituting this solution to equations of motion and heat and ... -
On Elastoplastic Torsion of a Rod with Multiply Connected Cross-Section
(Сибирский федеральный университет. Siberian Federal University., 2015-08)The classical problem of torsion of a straight rod with convex contour of the cross-section is considered in the paper. The cross-section is multiply connected domain. It is assumed that the region of plastic deformation ... -
Equilibrium and Stability of a Free Liquid Film in a Longitudinal Gravitational Field
(Сибирский федеральный университет. Siberian Federal University., 2015-08)Deformation of the free vertical liquid film by combined effect of gravity and thermocapillary forces is investigated. The system of equations connecting the flow rate, the film thickness and its temperature is found in ... -
Impact of Reflexivity on a Dynamics of a Population with Optimal Migration and Global Information Access
(Сибирский федеральный университет. Siberian Federal University., 2015-08)Comparison of reflexive vs. non-reflexive behaviour is provided, for the dynamics of globally informed beings in a community with optimal migration -
Magnetic Vortices in Ferromagnetic Nanodots
(Сибирский федеральный университет. Siberian Federal University., 2015-08)Studies in the field of magnetodynamics of vortex structures are reviewed. The prospects for application of ferromagnetic nanodots in high-speed nonvolatile memory are demonstrated. The creation of a static magnetic ... -
A Hydrostatic Model for an Ideal Fluid: Group Properties of Equations and their Solutions
(Сибирский федеральный университет. Siberian Federal University., 2015-08)Group properties of hydrostatic model equations of a layer motion in an ideal fluid on a function defining the free surface and the thickness of the fluid layer under the free boundary are studied. Examples of several ... -
Finite Representation of Classes of Isomorphic Groupoids
(Сибирский федеральный университет. Siberian Federal University., 2015-08)We consider an alternative representation of finite groupoids in the form of hypergraphs with three-vertex edges. Automorphism classes of vertices and edges of this hypergraphs are linearly ordered by a natural indexing ...