In the present work linearized problem of plasma wave reflection from a
boundary of a half-space is solved analytically. Specular accommodative boundary conditions
of plasma reflection from plasma boundary are considered. Wave reflectance is
found as a function of given parameters of the problem, and dependence of the reflectance
on normal electron impulse accommodation coefficient is shown.

the classical problem of the kinetic theory - Kramers problem about isothermal
slide for quantum бозе - gases is analytically solved. The modelling kinetic equation
with a collision integral in the form of-model and with the frequency of collisions proportional
to the molecular velocity is used. The analysis of dependence of velocity of
slide from quantity of the parametre representing the relation of chemical potential to
product by a Boltzmann constant on a Kelvin temperature is carried out.

The conclusion of the equation of continuity and the equations of movement of
the disperse phase, effectively represented by the quasicontinuous medium in sense of
the kinetic theory, proceeding from the extended equation of Liouville - Gibbs for statistic-
mechanical model gas-dispersed system is given.

The results of ultrasound dependencies dissipation coefficients of nematic
liquid crystals N-8 on the frequency and temperature. It is shown that measurements of
the anisotropy of the absorption coefficient of ultrasound at low and high frequencies allow
the calculation of a number of important physical parameters. Determined anisotropic
coefficients of shear and bulk viscosity, the orientation relaxation times, energy activation
and other parameters of N-8 in a wide range of frequencies and temperatures.

A variable distance pulsed phase-locked method is applied to study temperature
and frequency dependences of the rate and coefficient of ultrasound absorption in
diethyl siloxane and ethyloctyl siloxane in the frequency range 4-63 MHz at temperature
from 293 to 348 K. Based on experimental data, a frequency dependence of the volume
and shear viscosities is derived. The values of the shear and volume viscosity coefficients,
as well as the relaxation times of processes discovered, are found.

Analytical results of the asymptotical study of some problems of the rarefied
gas dynamics with two small parameters are represented. The resulting state of the gas
depends on the relative speed of the tendency of these parameters toward its limiting values.
This procedure proved to be useful by investigations of: 1) the investigation of viscous
shock layer and boundary layer structure in transitional regime; 2) the limited solution
of Knudsen's layer problem by physical - chemical surface model generalization on
specular-diffused surface of Maxwell; 3) the gas-surface collision problems; 4) the hypersonic
theory problems; 5) the separation of flow theory problem.

Thermophoresis of two large two-layer rotating and non-rotating aerosol particles
is considered. Formulas for the rate of thermophoresis and angular velocity of rotation
for particles are derived. The problem of gravitational falling of two rotating and
non-rotating spherical particles is considered as a limiting case and exact formulas for the
correction coefficients to the Stokes law and angular velocity of rotation are derived.
Approximate engineering formulas are presented.

Efficiency of applying a genetic algorithm to solve a given piecewise-linear
programming problem is researched in the present article. An example of conceptual
problem description is introduced and results of computational experiments are provided.

We give reasons for using caching in the Internet, provide an overview of
methods of caching information objects in the "global web" at various stages following a
request from the user to the server and the formation of a response. Also, we put the
problem of caching dynamic objects and the relevance of the further development of this
direction on the example in post-relational database.

In this paper we present an overview of Web publishing techniques for mathematical
texts. We also perform an analysis of the current document formats from the
perspective of effective automatic data processing, reuse of information and compatibility
with current browsers. We review projects for editing and converting of mathematical
documents intended for Web publishing.

The technology of the problem teaching is examined in the article. Sophisms
and paradoxes are used here as means to technology with some examples of physical
sophisms and paradoxes.

The opportunities of construction of methodical system of training to disciplines
"Elements of the theory of probabilities and statistics" and "Computer modeling"
are analyzed which is based on three making of process of training to mathematics and
computer science and realizes intersubject communications.