Composite mechanism of the catalytic hydrogenation of unsaturated hydrocarbons on hydrided magnesium intermetallides

Two temperature ranges are distinguished in the catalytic hydrogenation of unsaturated hydrocarbons on magnesium intermetallide hydrides. In the lower temperature range, the reaction proceeds by a composite mechanism, as is indicated by the fact that the rate of the catalytic hydrogenation of ethylene, n-butenes, and butadiene is equal to the rate of the reduction of these hydrocarbons with hydride hydrogen. It is assumed that, at higher temperatures, the reaction proceeds by a heterogeneous-homogeneous mechanism.     

On finite element methods for the Neumann problem

Summary The Neumann problem for a second order elliptic equation with self-adjoint operator is considered, the unique solution of which is determined from projection onto unity. Two variational formulations of this problem are studied, which have a unique solution in the whole space. Discretization is done via the finite element method based on the Ritz process, and it is proved that the discrete solutions converge to one of the solutions of the continuous problem. Comparison of the two methods is done.     

Variational formulations of the static problem of elasticity theory under specified external forces

The initial-value problem is considered for the equations of elastic equilibrium of moving bodies when stresses are specified on the surface of the body. Two variational problems that may be solved in unique fashion over the entire space are formulated for this problem, which is known to possess a unique solution in a subspace.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 2, pp. 158–161, February, 1991.     

Derivation of the properties of polymer structure from statistical microhardness curves

The possibility of using mathematical statistics to study polymer structure is examined in relation to microhardness distribution curves.Mekhanika Polimerov, Vol. 4, No. 1, pp. 11–17, 1968