A one-parameter family of three-webs is put in accordance with the Hamilton system of differential equations on a cotangent bundle T* (M) above aт n dimensional differentiable manifold M, corresponding a Hamiltonian H, having n first integrals. The differentially algebraic properties of the constructed family of three-webs reflect the properties of the initial Hamilton system.

The isothermal principle of virtual work for a compressible liquid continuum is derived using the equilibrium thermodynamics. The conditions for a mechanical equilibrium in the volume and on the surface of a compressible liquid continuum are obtained.

The behavior of a degenerate electron plasma under the action of a weak electric field is considered. The linearization of the kinetic equation is performed. Analytical expressions are presented for all input parameters in the linearized kinetic equation. It is shown that the linearized equation describes the response of a plasma to an external electric field.

The physical and mechanical properties of the surface layer of titanium alloys VT18u and VT9 processed by laser pulses are investigated. Laser processing consists of a series of pulses with a duration of ≈20 ns. Various laser processing methods are used, which differ in power density, pulse repetition rate, algorithm for forming a matrix of irradiated sections, etc. The changes in microhardness are examined. The dependences of microhardness on the load at the indenter are established. It is shown that the quality of the formed surface and its properties are determined by the parameters of laser pulses and the processing technology as a whole. Regimes are established that provide an increase in the microhardness of the material, as well as the resistance of the treated surface to cracking and fracture under local loading. The mechanisms of complex improvement of the mechanical properties of the surface layer of a material under the influence of laser treatment are also discussed. A significant advantage of the proposed treatment method is the simultaneous increase in microhardness and resistance to crack formation.

The method for computer simulation of ESR spectra with an anisotropic g-factor and hyperfine structure (HFS) is described. The calculation program takes into account the dependence of the width of individual resonance absorption lines on the magnetic quantum number mI and on the angular orientation of the axes of the paramagnetic complex symmetry in the magnetic field. The efficiency of the method is demonstrated by the example of modeling ESR spectra of V4+ and Cu2+ ions in oxide glasses.

We present a method for measuring optical transmission in crossed polarizers of a nematic liquid crystal layer under the action of rotating magnetic and variable electric fields. The behavior of a nematic liquid crystal in such fields is considered. An experimental setup implementing the method is designed, where the rotating magnetic field is generated between two NdFeB (neodymium-ferrum-borum) disks installed on a rotating platform. The measurement results of the optical transmission in LC-1289 and the estimates of homogeneity of the magnetic field between the disks are presented.

We report a comparative analysis of the classical theory of the viscous mechanism of sound attenuation by ultrafine media and one of the dominant theories of sound attenuation anisotropy by magnetic fluids on the basis of the viscous mechanism. The Taketomi theory used by many authors gives overestimated values for the size of aggregates in magnetic fluids and is not able to quantify experimental data. In addition, the formula obtained by Taketomi does not reduce to the classical expression for viscous absorption in the limiting case and, therefore, should be considered erroneous.

Magnetic force lines of the Earth are shown strictly analytically to fill some continuous class of surfaces and are obtained from the solution to the equation of magnetostatics. It is proven that their origin is a consequence of the effect of the Earth’s rotation.

We have performed experiments on the influence of corona discharge plasma on samples of dispersed media with organic components (various types of soils). We have revealed the role of air ionization under the action of the corona discharge, which leads to a change in the electrical conductivity of media and to a change in the chemical properties associated with the oxidation of molecular nitrogen to its mineral forms.

The properties of the Etal-370 epoxy resin polymerized with the Etal-45M hardener are investigated by laser interferometry (VISAR) under shock compression in the pressure range from 0.92 to 2.55 GPA. The shock adiabat in the mass velocity coordinates, i.e. the velocity of the shock wave, is obtained. It is found that the power dependence of the deformation rate in the shock wave front on the pressure behind its front has an index of 6.3, which significantly exceeds the generalizing degree of 4 obtained for solid materials.