ВАСИЛИЙ ИВАНОВИЧ БЕРНИК (К СЕМИДЕСЯТИЛЕТИЮ)

This work is devoted to the seventieth Doctor of Physical and Mathematical Sciences, Professor Vasily Ivanovich Bernik. In her curriculum vitae, a brief analysis of his scientific work and educational and organizational activities. The work included a list of 80 major scientific works of V.I. Bernik.Данная работа посвящена семидесятилетию доктора физико-математических наук, профессора Василия Ивановича Берника. В ней приводятся биографические данные, краткий анализ его научных работ и педагогической и организационной деятельности. В работу включён список из 80 основных научных работ В. И. Берника

The statistics of particle trajectories in the homogeneous Sinai problem for a two-dimensional lattice”,

Abstract. In this paper, we generalize and refine some results by F. P. Boca, R. N. Gologan, and A. Zaharescu on the asymptotic behavior as h → 0 of the statistics of the free path length until the first hit of the h-neighborhood (a disk of radius h) of a nonzero integer for a particle issuing from the origin. The established facts imply that the limit distribution function for the free path length and for the sighting parameter (the distance from the trajectory to the integer point in question) does not depend on the particle escape direction (the property of isotropy)

Ustinov The statistics of particle trajectories in the inhomogeneous Sinai problem for a two-dimensional lattice Izvestiya

Abstract. In connection with the two-dimensional model known as the 'periodic Lorentz gas', we study the asymptotic behaviour of statistical characteristics of a free path interval of a point particle before its first occurrence in an h-neighbourhood (a circle of radius h) of a non-zero integer point as h → 0 given that the particle starts from the h-neighbourhood of the origin. We evaluate the limit distribution function of the free path length and of the input aimed parameter (the distance from the trajectory to the integer point we are interested in) for a given value of the output aimed parameter. This problem was studied earlier for a particle starting from the origin (the homogeneous case)

Experimental Research on Transition Regions in Continuously Rotating Detonation Waves

Continuously rotating detonation waves of thousands of Hz, indicating the merit of continuously rotating detonation waves that ignite only once to keep working, are experimentally gotten in the combustion chamber designed by Peking University. The steady continuously rotating detonation waves have jarless peak pressures and cycles microcosmicly, showing that during this stage, flux, pressure and temperature of working medium are steady. However, transition regions do exist between two groups of steady continuously rotating detonation waves. Related data of transition regions are fitted to find out the basic rule. The paper also figures out the velocity of ideal detonation waves by C-J theory, and obtains the cycle and number of continuously rotating detonation waves with experimental data. ? 2012 by Yu-Hui Wang.EI