Abstract:
Experimental validation of the Faraday's law of electromagnetic induction (EMI) is performed when an electromotive force is generated in thin copper turns, located inside a large magnetic coil. It has been established that the electromotive force (emf) value should be dependent not only on changes of the magnetic induction flux through a turn and on symmetry of its crossing by magnetic power lines also. The law of EMI is applicable in sufficient approximation in case of the changes of the magnetic field near the turn are symmetrical. Experimental study of the induced emf in arcs and a direct section of the conductor placed into the variable field has been carried out. Linear dependence of the induced emf on the length of the arc has been ascertained in case of the magnetic field distribution symmetry about it. Influence of the magnetic field symmetry on the induced emf in the arc has been observed. The curve of the induced emf in the direct section over period of current pulse is similar to this one for the turns and arcs. The general law of EMI for a curvilinear conductor has been deduced. Calculation of the induced emf in the turns wrapped over it and comparison with the experimental data has been made. The proportionality factor has been ascertained for the law. Special conditions have been described, when the induced emf may not exist in the presence of inductive current. Theoretical estimation of the inductive current has been made at a induced low voltage in the turn. It has been noted the necessity to take into account the concentration of current carriers in calculation of the induced emf in semiconductors and ionized conductors.

Abstract:
Measurements of magnetic induction near an ice rod in the strong electric field were carried out. Theoretical estimation of the magnetic induction was made. It was found that in the average the experimental values of magnetic induction were an order less than theoretical value. A conclusion about the non- equivalence of magnetic fields of bound charges current and conduction current was made. Therefore, the magnetic field near an energized conductor is caused not directly by moving charges but by their influence on the propagation medium. The similar effect could occur at diffusion of other particles through the medium.

Abstract:
The paper draws attention to the importance of the notion “luminiferous ether” in physics. There is a proposed method to register its flows generated by natural cosmic movements or created artificially. The work presents the results of ether wind searching with a prototype of the proposed installation located at the altitude of <30 m above sea level. Ether flows with speeds > 20 km/s are not found, which is consistent with the results of previous experiments.

The article considers physical properties of photon as a quantum of electromagnetic wave in luminiferous medium. An experimental evaluation method for its energy and mass based on radiation pressure effect was presented. The of “photon amplitude” concept was introduced, through which energy is represented similarly to quantum (phonon) energy of elastic mechanical wave. A model of photon as a wave packet in the medium was considered, which based its volume evaluation. The resulting equation for energy corresponds to commonly known, regarding the first degree frequency proportionality, while it is more informative.

Experiments on searching the space flows of luminiferous
medium through Sagnac interferometer have been conducted. To do this, in one of
the interferometer arms the inhomogeneity has been introduced in the form of a
transparent tube with distilled water. The difference in speeds of the
interferometer was registered in relation to the medium when changing the tube
orientation from S-N to W-E: By shifting the interference fringe on the screen.
Measurements were carried out in two places: 30.2 East longitude/60.5 North
latitude at a height of 165 m above sea level; 41.3 East longitude/43.6 North
latitude at height 2850 m. Flows with speeds > 45 m/s were not observed. The
result is explained by entrainment of the medium due to gravitational attraction
to the Earth, the Sun and Center of the Milky Way: Similar to how it happens to
other physical medium.

The motional EMF in segments of the copper wire with
magnetic shielding is found according to the voltage lack in two coils with
partial shielding moving relative to the magnetic field lines. The first coil
moved across the Earth’s
magnetic field lines. The second one was located near the end face of the
rotating disk magnet with an axial magnetization. Permalloy foil wound around a
part of turns containing wire was used for shielding. The experiments result
reveals the penetrating ability of the magnetic field through the ferromagnetic
shield and shows the physical nature of the superposition principle. With this
in mind, a universal method for calculating EMF induced in a conductive body
has been provided as well as the concepts of magnetic field lines velocity and
acceleration have been introduced.

Instability of liquid
dielectrics surface, being developing after the action of an alternating
current corona discharge pulse, has been experimentally investigated. Voltage
amplitude on the corona electrode reaches 70 kV, frequency is 17 MHz, and pulse
duration is 0.5-1 μs. This is similar to
rose-window instability at electrode height above the liquid surface > 5-10 mm. At lesser heights,
development of a singular crater is observed with turbulization of its walls surrounded
by radially divergent wrinkles on the surface. In this case, instability shape
is similar to an oculus. Maximum effect is demonstrated by oils with high
specific electric resistance.

Abstract:
We identify the leading term describing the behavior at large distances of the steady state solutions of the Navier-Stokes equations in 3D exterior domains with vanishing velocity at the spatial infinity.

Abstract:
We prove some new product representations for random variables with the Linnik, Mittag-Leffler and Weibull distributions. The main result is the representation of the Linnik distribution as a normal scale mixture with the Mittag-Leffler mixing distribution. As a corollary, we obtain the known representation of the Linnik distribution as a scale mixture of Laplace distributions. In turn, as a corollary of this representation we obtain the explicit representation of the distribution density of the ratio of two independent positive strictly stable random variables. Another corollary of the main representation is the theorem establishing that the distributions of random sums of independent identically distributed random variables with finite variances converge to the Linnik distribution under an appropriate normalization if and only if the distribution of the random number of summands under the same normalization converges to the Mittag-Leffler distribution.

Abstract:
We study weak ergodicity, bounds on the rate of convergence, and problems of computing of the limiting characteristics for an inhomogeneous $M_t|M_t|S$ queueing model with possible catastrophes.