Annihilation superradiance in a system of positronium atoms and positron polarization of the medium

Institute of Physics, Belorussian SSR Academy of Sciences; Elabuga State Pedagogical Institute; Kazan Physicotechnical Institute, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 79, No. 3, pp. 423–436, June, 1989.     

Stationary stokes and Navier-Stokes systems in an infinite open channel. II

Institute of Mathematics and Cybernetics, Academy of Sciences of the Lithuanian SSR. Leningrad Section of the Mathematical Institute, Academy of Sciences of the USSR. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 29, No. 2, pp. 347–367, April–June, 1989.     

Stationary Stokes and Navier-Stokes systems in an infinite open channel. I

Institute of Mathematics and Cybernetics, Academy of Sciences of the Lithuanian SSR. Leningrad Division of the Mathematical Institute, Academy of Sciences of the USSR. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 29, No. 1, pp. 90–108, January–March, 1989.     

Effect of nature of metallic subs trate on adhesion strength of polyvinylbutyral - metal joints

The effect of the physicomechanical properties of the substrates on the adhesion strength of the metal—polymer system was investigated.Institute of the Mechanics of Polymers, Academy of Sciences of the Latvian SSR, Riga. Institute of Chemistry and Chemical Technology, Academy of Sciences of the Lithuanian SSR, Vil'nyus. Translated from Mekhanika Polimerov, No. 1, pp. 81–86, January–February, 1972.     

Resolvents of the theory of orthotropic shells with low shear stiffness in force-moments and stress functions

The problem of the theory of orthotropic layered shells with low shear stiffness is reformulated in force-moments and stress functions on the basis of new strain continuity relations constructed with allowance for transverse shears.Physicomechanical Institute, Academy of Sciences of the Ukrainian SSR, L'vov. Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 5, pp. 950–952, September–October, 1970.     

Effect of hydrostatic pressure on submicrocrack formation in oriented polymers

Small-angle x-ray scattering has been used to obtain a quantitative estimate of the concentration and size of the submicrocracks in Kapron and polypropylene equally extended at 1 and 1500 atm. Direct evidence of the retarding effect of pressure on fracture development has been obtained.Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga: Ioffe Physicotechnical Institute, Academy of Sciences of the USSR, Leningrad. Translated from Mekhanika Polimerov, No. 5, pp. 917–921, September–October, 1971.     

Concerning the investigation of the supermolecular structure of polymers with a three-dimensional network

The results of an investigation of the structure and properties of a series of crosslinked polymers are presented. It is shown that the structure is determined by the chemical structure of the starting components and the method of synthesis.Institute of Chemistry of High-Molecular Compounds, Academy of Sciences of the Ukrainian SSR, Kiev. Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Mekhanika Polimerov, No. 5, pp. 934–936, September–October, 1970.     

Moduli of elasticity of crystal lattices of polyamides and crystallike elements of amorphous poly(amido acids)

From the displacement of meridional reflections on large angle x-ray diffractograms of fibers from polyimides PM, PFG, DFOFG and the corresponding poly(amido acids) during their elastic deformation along the axis, determinations were made of the elasticity moduli of crystalline lattices of polyamides and of the crystallike elements of amorphous poly(amido acids).Collaborator in the Structural-Chemical Laboratory of the Academy of Sciences of Hungary; participated in this study during probation in the Laboratory of Physical Chemistry of Polymers, Institute of High-Molecular-Weight Compounds, Academy of Sciences of the USSR, in 1971.Institute of High-Molecular-Weight Compounds, Academy of Sciences of the USSR, Leningrad. Translated from Mekhanika Polimerov, Vol. 6, pp. 1014–1020, November–December, 1972.     

Mathematical model of metal deposition on a dielectric base near a microprobe in a strong electric field

A mathematical model is proposed for computing the width of a metal strip deposited on a dielectric surface near a microprobe in a strong electric field. The deposited strip width is a function of the geometrical parameters of the microprobe and the potential difference in the working zone.V. M. Glushkov Institute of Cybernetics of the Ukrainian Academy of Sciences. Institute of Electrodynamics of the Ukrainian Academy of Sciences. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 74, pp. 53–60, 1992;     

Random flows generated by random processes (properties of random flows,level-crossing problems)

Author's summary of a dissertation submitted for the degree of Doctor of Physicomathematical Sciences. The dissertation was defended February 10, 1970, at a meeting of the Scientific Council of the Institute of Applied Mathematics, Academy of Sciences of the USSR. Official opponents: B. V. Gnedenko, Academician of the Academy of Sciences of the USSR, Yu. V. Prokhorov, Corresponding Member of the Academy of Sciences of the USSR, and N. N. Chentsov, Doctor of Physicomathematical Sciences.Translated from Matematicheskie Zametki, Vol. 8, No. 3, pp. 393–407, September, 1970.     

Convolution equations in multidimensional spaces

Author's abstract of a dissertation for the degree of Doctor of Physicomathematical Sciences. The dissertation was defended on Nov. 10, 1977, at the session of the Specialized Council D 002.38.03 at the V. A. Steklov Mathematics Institute of the Academy of Sciences of the USSR. Official opponents: Corresponding Member of the Academy of Sciences of the USSR, Doctor of Physicomathematical Sciences, Professor A. G. Vitushkin; Corresponding Member of the Academy of Sciences of the USSR, Doctor of Physicomathematical Sciences, Professor V. K. Ivanov; Doctor of Physicomathematical Sciences, Professor Yu. F. Korobeinik.Translated from Matematicheskie Zametki, Vol. 25, No. 5, pp. 761–774, May, 1979.     

Diophantine representation of enumerable predicates

This paper is the author's abstract of dissertation in partial fulfillment of the requirements for the degree of Doctor of Physicomathematical Sciences. The dissertation was defended on February 24, 1972 at a session of the faculty council of the V. A. Steklov Mathematics Institute, Academy of Sciences of the SSSR. The official opponents were: Doctor of Physicomathematical Sciences S. I. Adyan; Corresponding Member of the Academy of Sciences of the USSR Yu. L. Ershov; and Corresponding Member of the Academy of Sciences of the USSR D. K. Faddeev.Translated from Matematicheskie Zametki, Vol. 12, No. 1, pp. 115–120, July, 1972.     

Effect of proton-electron irradiation on the strength of a glass-reinforced plastic and its components

The action of protons and electrons on the properties of glass strands under vacuum conditions has been experimentally investigated. The experimental procedure is described. The effects of irradiation, strain rate, and reduced temperature and pressure on the properties of glass reinforcement and glass-reinforced plastics are estimated.Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev; Physicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Mekhanika Polimerov, No. 4, pp. 755–760, July–August, 1970.     

Investigation of mutual longitudinal displacements of structural elements upon welding

We present the results of experimental investigation and control over mutual displacements of elements in the process of welding of butt and T-joints and develop a computational method for determination of these displacements and estimation of their influence on the accuracy of welded structures. Paton Electric Welding Institute, Ukrainian Academy of Sciences, Kiev; Timoshenko Institute of Mechanics, Ukrainian Academy of Sciences, Kiev. Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 41, No. 2, pp. 96–104, April–June, 1998.     

Investigations of multidimensional,infinite-dimensional and limit theorems of the theory of probabilities

Author's abstract of a dissertation in competition for the scientific degree of Doctor of Physical-Mathematical Sciences. The dissertation was defended on May 30, 1968 at a meeting of the Scientific Council of the V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR. The official opponents were: V. S. Korolyuk, Corresponding Member, Academy of Sciences of the Ukrainian SSR, A. V. Skorokhod, Corresponding Member, Academy of Sciences of the Ukrainian SSR, and V. A. Statulyavichus, Doctor of Physical-Mathematical Sciences.Translated from Matematicheskie Zametki, Vol. 4, No. 5, pp. 611–619, November, 1968.     

Periodic shear deformation of a curing epoxy composition

The curing of an epoxy resin with amines is investigated in relation to the changes in the viscoelastic shear characteristics. The effect of the shear deformation amplitude on the curing kinetics is considered.Presented at the Symposium on Polymer Rheology, Institute of Petrochemical Synthesis, Academy of Sciences of the USSR, Moscow, May, 1970.Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 2, pp. 301–306, March–April, 1971.     

Periodic deformation and viscous flow of polymer solutions and melts

The effect of nonlinear periodic deformation on the relaxation spectra and viscous-elastic characteristics of polymer melts and solutions is considered. The experimental and calculated relationships between the dynamic characteristics and effective viscosity and the amplitude of the rate of periodic deformation were compared.For Communication 1, see [6].Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Institute of Mechanics Problems, Academy of Sciences of the USSR, Moscow. Translated from Mekhanika Polimerov, No. 2, pp. 357–366, March–April, 1970.     

Investigation of boundary value problems for elliptic systems of first order

This paper is the author's abstract of a dissertation submitted for the degree of Doctor of Physicomathematical Sciences. The dissertation was defended November 2, 1972 at a session of the Scientific Council of the V. A. Steklov Mathematical Institute of the Academy of Sciences, USSR. Official referees: Corresponding Member of the Academy of Sciences of the USSR Professor A. V. Bitsadze, Corresponding Member of the Academy of Sciences of the USSR Professor M. M. Lavrent'ev, and Doctor of Physicomathematical Sciences, Professor P. I. Lizorkin.Translated from Matematicheskie Zametki, Vol. 14, No. 2, pp. 291–304, August, 1973.     

Effect of material properties on the stability of transversely isotropic shells with an elastic filler subjected to the action of mechanical loads and temperature

The effect of the low shear strength of the material (glass-reinforced plastic) on the stability of cylindrical shells with an elastic filler is investigated in relation to axial compression, external pressure, and heating. The equations of the thermoelastic problem of the theory of monotropic shells, constructed with allowance for the effect of tangential shearing stresses, are used in the calculations.Physicomechanical Institute, Academy of Sciences of the Ukrainian SSR, L'vov. L'vov Polytechnic Institute. Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 5, pp. 903–907, September–October, 1970.     

Investigations in the theory of Stochastic equations

This is the author-review of a dissertation presented in the competition of the degree of the Doctor of Physicomathematical Sciences. The dissertation was defended on February 27, 1975 at a meeting of the Scientific Council of V. A. Steklov Mathematics Institute of the Academy of Sciences of the USSR. The official opponents were: A. A. Borovkov, Corresponding Member of the Academy of Sciences of the USSR; A. V. Skorokhod, Corresponding Member of the Academy of Science of the Ukrain. SSR, and V. N. Sudakov, Doctor of Physicomathematical Sciences.Translated from Matematicheskie Zametki, Vol. 20, No. 1, pp. 147–159, July, 1976.