About one class of approximate solutions of the Boltzmann equation with screw modes

TitleAbout one class of approximate solutions of the Boltzmann equation with screw modes
Publication TypeJournal Article
Year of Publication2014
AuthorsGordevskyy, VD, Sazonova, ES
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2014.02.007
Issue2
SectionMathematics
Pagination7-12
Date Published2/2014
LanguageRussian
Abstract

A new evident approximate solution of the nonlinear Boltzmann equation for the model of hard spheres is built. It has form of a continual superposition of local Maxwellians, describing the screw-shaped stationary equilibrium states of a gas. Some sufficient cases, in which this distribution minimizes the integral remainder between the sides of the equation, are obtained.

KeywordsBoltzmann equation, screw modes
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