Il Nuovo Cimento D

, Volume 10, Issue 2, pp 145–159 | Cite as

A system of conservation equations arising in nonlinear dynamics of gas mixtures

  • V. C. Boffi
  • K. Aoki
Article
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Summary

On the basis of appropriate hypotheses, concerning the collision frequencies, the scattering probability distributions and the initial conditions, a system ofN conservation equations is derived starting from the Boltzmann system governing a nonlinear evolution problem for theN gases of an assigned mixture. The physical and mathematical constraints connected with the solution of the system so obtained are then discussed for the two cases of only removal and, respectively, of both removal and scattering between the different species of particles, which the mixture considered consists of.

PACS. 51.10

Kinetic and transport theory 

PACS. 05.20

Statistical mechanics 

PACS. 02.30

Function theory, analysis 

Riassunto

Sulla base di appropriate ipotesi fisiche, concernenti le frequenze di collisione, le distribuzioni di probabilità di «scattering» e le condizioni iniziali, si perviene a costruire un sistema diN equazioni di conservazione a partire dal sistema di Boltzmann, tramite il quale resta formulato un problema non lineare di evoluzione per gliN gas di una miscela assegnata. Vengono discusse le restrizioni sia fisiche che matematiche connesse con la soluzione del sistema trovato per i due casi di sola rimozione, e, rispettivamente, di rimozione e «scattering», occorrente fra le differenti specie di particelle costituenti la miscela di gas considerata.

Резюме

На основе соответствующих гипотез относительно частот соударений, распределений вероятности рассеяния и начальных условий выводится системаN уравнений сохранения, исходя из системы Больцмана, определяющей нелинейную проблему эволюции дляN газов заданной смеси. Затем обсуждаются физические и математические ограничения, связанные с решением для рассматриваемой системы, для двух случаев: только удаление и удаление и рассеяние различных типов частиц, которые входят в рассматриваемую смесь.

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Copyright information

© Società Italiana di Fisica 1988

Authors and Affiliations

  • V. C. Boffi
    • 1
  • K. Aoki
    • 2
  1. 1.Laboratorio di Ingegneria Nucleare dell'UniversitàBolognaItalia
  2. 2.Department of Aeronautical Engineering of Kyoto UniversityKyotoJapan

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