Acoustic oscillations in the combustion of an aerosol

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 32–41, May–June, 1989.     

Kazhdan-Lusztig polynomials for certain varieties of incomplete flags

We give explicit formulas for the Kazhdan-Lusztig P- and R-polynomials for permutations coming from the variety F_1,n−1 of incomplete flags consisting of a line and a hyperplane.     

Differential inhibition of postnatal brain,spinal cord and body growth by a growth hormone antagonist

Background  

Growth hormone (GH) plays an incompletely understood role in the development of the central nervous system (CNS). In this study, we use transgenic mice expressing a growth hormone antagonist (GHA) to explore the role of GH in regulating postnatal brain, spinal cord and body growth into adulthood. The GHA transgene encodes a protein that inhibits the binding of GH to its receptor, specifically antagonizing the trophic effects of endogenous GH.     

Surfatron acceleration in electromagnetic waves with a low phase velocity

The possibility of unlimited surfatron acceleration of nonrelativistic charged particles by slow electromagnetic waves has been revealed. The capture into such an acceleration regime has been described. The region of the parameters in which the effect of the capture and acceleration exists has been considered. The contribution of this mechanism to an increase in the energy of charged particles in the Earth’s magnetosphere has been estimated.     

Linear stationary control systems over the Boolean semiring and their graphs of modules

We consider linear stationary dynamical systems over the Boolean semiring. We analyze the properties of complete observability, identifiability, attainability, and controllability of a system. We define the notion of the “graph of modules” of totally controllable totally attainable Boolean linear stationary systems by analogy with spaces of modules in the case of systems over fields. The above-mentioned graph is described in the simplest case of one-dimensional inputs and outputs. We prove the weak connectedness of this oriented graph.