A Green's function method of determining the residual stresses in cylindrical glass shells

We propose a way of modifying the mathematical model of the nondestructive theoretical-experimental method of determining the residual stresses for a specific collection of technological conditions for welding two cylindrical glass shells. The method is based on the general theory of boundary-value problems for ordinary differential equations.Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 33, 1991, pp. 69–73.     

Dynamical dark energy models – dynamical system approach

We study the Friedmann-Robertson-Walker model with dynamical dark energy modelled in terms of the equation of state p _X = w _X (a(z)) ρ _X in which the coefficient w _X is parameterized by the scale factor a or redshift z. We use methods of qualitative analysis of differential equations to investigate the space of all admissible solutions for all initial conditions on the two-dimensional phase plane. We show advantages of representing this dynamics as a motion of a particle in the one-dimensional potential V(a). One of the features of this reduction is the possibility of investigating how typical big rip singularities are in the future evolution of the model. The properties of potential function V can serve as a tool for qualitative classification of all evolution paths. Some important features like resolution of the acceleration problem can be simply visualized as domains on the phase plane. Then one is able to see how large is the class of solutions (labelled by the inset of the initial conditions) leading to the desired property.     

Sorption of Lower Alcohols with Activated Charcoals

The features of sorption of ethanol, isopropanol, butanol, isobutanol, and tert-butanol with activated charcoals under static conditions were studied.     

Recyclization of tetranitrodibenzo-18-crown-6 and tetranitrodibenzo-24-crown-8 into monobenzocrown ethers

The benzo-9-crown-3 and benzo-12-crown-4 derivatives are formed by reaction of tetranitrodibenzo-18-crown-6 and tetranitrodibenzo-24-crown-8, respectively, with sodium methoxyethoxide in DMSO at 20C.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 11, pp. 1474–1476, November, 1990.     

Anomalous addition of trifluoroacetic acid to 2,3-difluorobicyclohepta[2.2.1]diene-2,5

Trifluoroacetic acid adds to 2,3-difluorobicyclohepta[2.2.1]diene-2,5 at the FC=CF bond to give mainly the cis-exo adduct.A. N. Nesmeyanov Institute of Organometallic Compounds, Russian Academy of Sciences, 117813 Moscow. Translated from Izvestiya Akademii Nauk, Seriya Khimicheskaya, No. 2, pp. 450–452, February, 1992.     

Calculation of diatomic van der Waals systems inert gas Atom-Halogen type inert gas ion in the ground state

Interatomic potentials are calculated for the systems inert gas ion in the ground state-inert gas atom Ne⁺, Xe⁺ -Ne, Ar, Kr, Xe, Fr. The calculation is performed by the effective pseudopotential method using the new form of the polarization interaction potential obtained by calculating the most important polarization diagrams of perturbation theory in the Thomas-Fermi approximation. The quasimolecular states of these van der Waals systems are calculated to refine the available data; some data are obtained for the first time. Translated fromZhumal Strukturnoi Khimii, Vol. 39, No. 4, pp. 591–595, July–August, 1998.     

Nucleophilic substitution reactions in tetranitrodibenzo-18-crown-6

The nature of the reaction of a reagent with tetranitrodibenzo-18-crown-6 was found to depend on its basicity. This behavior was interpreted in the framework of the theory of hard and soft acids and bases.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 5, pp. 605–608, May, 1992.     

Post-Einstein cosmology: Torsion, strings, dual symmetry. I. The necessity of using the Einstein-Cartan theory instead of the Einstein theory

The hypothesis that heavy dichromatic lepton structures corresponding to the dual group SU(2) and called the friedmons are dark matter particles is proposed. Arguments in favor of the Einstein theory generalization to the Einstein-Cartan theory are presented. It is shown that string additions in the Schwarzschild and de Sittermetrics correspond to the cosmological constant.     

Post-Einstein cosmology: Torsion, strings, dual symmetry. II. The necessity of considering string additions and dual symmetry

This study is a direct continuation of previous work [1].