The milne and kramers problems for the boltzmann equation of a hard sphere gas

Claude Bardos, Russel E. Caflisch, Basil Nicolaenko

Research output: Contribution to journalArticle


Existence, uniqueness and properties of asymptotic behavior are proved for solutions of the Milne and Kramers problems for the linearized Boltzmann equation for a gas of hard spheres. The proof uses energy‐like estimates and follows the analysis of Bardos, Santos and Sentis for the equations of neutron transport.

Original languageEnglish (US)
Pages (from-to)323-352
Number of pages30
JournalCommunications on Pure and Applied Mathematics
Issue number3
StatePublished - May 1986


ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this