Methods of Calculating Nuclear Reactors (Selected Parts)

Abstract

n-T.62_i814/ Iconcerning the theory of reactors have been touched upon only in minimm extenteIn the book have been reflected problems,davelcped by the author together with a aroup of co-workers i ShoS.Nikolayahvilig YesIoPogudalina, V.V,S melovs GAOIlyasov, Up to this day there is no loss in theoretical value of reports of earlier periods

The radiation regime and architecture of plant stands

“…The equation of the radiation transfer in a turbid medium in the case of a steady radiation field is (Marchuk 1961) Another feature of a plate medium is that the amount of scattering elements is best expressed by their area rather than by their mass.…”

“…The simple iteration method (Marchuk 1961;Sobolev 1956;Tamme & Sormus 1967) is applicable for stands of any geometrical structure. It takes into account all orders of radiation scattering successively starting with the first.…”

On Stability of Vector Nonlinear Integrodifferential Equations

“…It plays an essential role in numerous applications, in particular, in kinetic theory [1], transport theory [2], continuous mechanics [3], control theory [4], radiation theory [5,6], and the dynamics of populations [7]. Regarding other applications, see [8].…”

Stability and Boundedness of Solutions to Nonautonomous Parabolic Integrodifferential Equations

“…This paper is devoted to stability and boundedness of solutions to parabolic integrodifferential equations, that is, equations containing the first derivative in time, integral operators, and partial derivatives in spatial variables. Such equations play an essential role in numerous applications, in particular, in the transport theory [1], continuous mechanics [2], and radiation theory [3]. For other applications see [4].…”