Application of the variational-moment approach to problems of the theory of elasticity of shells

We consider a method of obtaining an approximate system of equations of elasticity theory for shells, based on representing the components of the stress tensor and the displacement vector as a sum of products of moment characteristics depending on the coordinates of the base surface of the shell and functions of the normal coordinate to the base surface.Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 33, 1991, pp. 56–59.     

Measurement of the spin and temperature dependence of ddµ molecule formation rate in solid and liquid deuterium

The ddµ molecule formation rate is experimentally measured for the two hyperfine states of the dµ-atom in the temperature range of 5–30 K. Results are consistent with a preliminary measurement by the TRIUMF group and contradict theoretical predictions. The work has been performed on the JINR phasotron (Dubna).     

Interaction of a free wave with a semicrystal

The Schrodinger operator with semiperiodic potential in L₂(Rⁿ), n=2,3, is studied. Incident and reflected waves in a free half-space are considered. An asymptotic expansion of the reflection matrix for a high energy region is constructed and its relationship with the potential is established. Bibliography: 7 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 186, pp. 107–114, 1990. Translated by Yu. E. Karpeshina.     

Hydrogel composition based on carboxymethylcellulose and agar-agar

The results are given of a study of the rheological properties of concentrated solutions of CNC and agar-agar and the influence of their quantitative ratio on the anomalous flow behavior of their solutions. A hypothesis is put forward of the formation of intermolecular associates from CMC and agar-agar which leads to the formation of a stronger structural network of solutions of the initial polysaccharides.Institute of the Physics and Chemistry of Polymers, Academy of Sciences of the Republic of Uzbekistan, Tashkent, fax (371) 1 44 26 61. Translated from Khimiya Prirodnykh Soedinenii, No. 3, pp. 357–361, May–June, 1998.     

STRIATED SOLUTIONS OF QUASILINEAR HYPERBOLIC TWO SPEED SYSTEMS

It is proved that solutions of quasilinear hyperbolic 2*2 systems in general space dimension are striated if they are so at the initial time or in the past. Results about the propagation of singularities along characteristic curves for both striated and stratified solutions are given.     

Varieties whose countable embeddability skeletons are semilattices

Translated fromAlgebra i Logika, Vol. 32, No. 3, pp. 288–307, May–June, 1993.     

On some methods of descent over groups of variables

Translated fromIssledovaniya po Prikladnoi Matematike, No. 19, 1992, pp. 24–33.