Dynamic Behavior of Ellipsoidal Sandwich Shells Under Nonstationary Loads

International Applied Mechanics - Problems of forced vibrations of ellipsoidal sandwich shells under a nonstationary distributed load are considered. When developing a mathematical model of...     

Stahl

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Polarographie

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Creative Contribution of D. Ya. Petrina to the Development of Contemporary Mathematical Physics

This is a brief survey of the results obtained by Prof. D. Ya. Petrina in various branches of contemporary mathematical physics.     

Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations

We construct a cumulant representation of solutions of the Cauchy problem for the BBGKY hierarchy of equations and for the dual hierarchy of equations. We define the notion of dual nonequilibrium cluster expansion. We investigate the convergence of the constructed cluster expansions in the corresponding functional spaces.     

Initial-value problem for the Bogolyubov hierarchy for quantum systems of particles

We construct cumulant (semi-invariant) representations for a solution of the initial-value problem for the Bogolyubov hierarchy for quantum systems of particles. In the space of sequences of trace-class operators, we prove a theorem on the existence and uniqueness of a solution. We study the equivalence problem for various representations of a solution in the case of the Maxwell-Boltzmann statistics. __________ Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 9, pp. 1175–1191, September, 2006.