Mathematical modeling of nonlinearly viscous fluid motion: Strong solutions

This paper studies mathematical modeling of motion of a nonlinearly viscous fluid in the case of strong solutions.     

Hybrid Frenkel-Wannier-Mott excitons at interfaces and in microcavities

We discuss the linear and nonlinear optical properties of organic-inorganic nanostructures (quantum wells and superlattices) brought about by resonance interactions between Frenkel excitons in organic QWs and Wannier-Mott excitons in semiconductor QWs. We show that such a coupling (Coulomb dipole-dipole at an interface and through the cavity photons in a microcavity) is responsible for the appearance of mixed Frenkel-Wannier excitations. We demonstrate that the new hybrid states and their dispersion curves can be tailored to engineer the enhancement of resonant optical nonlinearity, fluorescence efficiency and relaxation processes.     

Kinetics of the swelling produced in fissionable materials by the separation of the gaseous phase from a supersaturated solid solution

When fissionable materials are irradiated with neutrons, under certain conditions a supersaturated solution of inert gases is formed. There is intensive separation of the gaseous phase, accompanied by the formation and subsequent growth of a large number of gas pores. In the present work, making quite general assumptions regarding the manner in which the gas pores are produced, we investigate the kinetics of the diffusion process of their formation and growth, resulting both from the color of the material under the effect of the gas pressure in the pores and from a mechanism related to the diffusion of vacancies to the pores. In the latter case it is assumed that the influx of vacancies to a pore is correlated with the influx of gas atoms in such a way that the pressure of the gas in the pore is brought essentially into equilibrium with the pressure caused by surface tension. We obtain an asymptotic solution of this problem and find the asymptotic behavior of the number of pores and their average dimensions, as well as the asymptotic law governing the increase in volume (the swelling).Translated from Atomnaya Énergiya, Vol. 15, No. 5, pp. 393–403, November, 1963     

Synthesis of auxiliary algorithms for preliminary assessment of stuck-at faults detection tests

This paper presents a formal Boolean-algebra-based synthesis of three auxiliary algorithms implementing preliminary assessment methods for stuck-at faults detection tests.