Existence and stability of stationary solutions to the discrete Boltzmann equation

研究成果: Article

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The initial-boundary value problems and the corresponding stationary problems of the discrete Boltzmann equation are studied. It is shown that stationary solutions exist for any boundary data. These stationary solutions are unique in a neighborhood of a given constant Maxwellian. Furthermore, it is proved that if both initial and boundary data are close to a given constant Maxwellian, then unique solutions to the initial-boundary value problems exist globally in time and converge to the corresponding unique stationary solutions exponentially as time goes to infinity. The stability condition plays an essential role in proving the uniqueness and the time-asymptotic stability results.

元の言語English
ページ(範囲)389-429
ページ数41
ジャーナルJapan Journal of Industrial and Applied Mathematics
8
発行部数3
DOI
出版物ステータスPublished - 1991 10 1

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

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