Exact Solutions of the Boltzmann Equations with a Source

Yu N. Grigor’ev, S. V. Meleshko, A. Suriyawichitseranee

Результат исследования: Научные публикации в периодических изданияхстатья

1 Цитирования (Scopus)

Аннотация

Exact solutions of a nonlinear Boltzmann kinetic equation with a source are constructed in the case of an isotropic distribution function and Maxwell model of isotropic scattering. These solutions are constructed with the use of an equivalence group such that one of its transformations uniquely identifies the class of the source functions that are linear in terms of the distribution function; moreover, the transformed equation has a zero right side. As a result, invariant solutions of the type of the Bobylev–Krook–Wu solutions can be explicitly found, in particular, those that admit physical interpretation.

Язык оригиналаанглийский
Страницы (с-по)189-196
Число страниц8
ЖурналJournal of Applied Mechanics and Technical Physics
Том59
Номер выпуска2
DOI
СостояниеОпубликовано - 1 мар 2018

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