Exact Solutions of the Boltzmann Equations with a Source

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

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)189-196
Number of pages8
JournalJournal of Applied Mechanics and Technical Physics
Issue number2
Publication statusPublished - 1 Mar 2018


  • Boltzmann equation
  • invariant solutions
  • isotropic distribution function
  • source function

Fingerprint Dive into the research topics of 'Exact Solutions of the Boltzmann Equations with a Source'. Together they form a unique fingerprint.

Cite this