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Propagation of infinitesimal disturbances in a gas according to a relativistic kinetic model

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Sommario

In questo lavoro viene considerato un modello cinetico per descrivere un gas relativistico. Viene studiata in particolare la propagazione delle onde di piccola ampiezza e si mostra che, data la frequenza del disturbo, il numero d'onda possiede uno spettro continuo. Un'analisi dettagliata mostra però la possibilità di isolare, almeno in senso asintotico, una specie di spettro discreto immerso nel precedente. Questo spettro ricavato dall'analisi asintotica è in accordo coi corrispondenti risultati noti per l'equazione di Boltzmann.

Summary

In this paper a kinetic model describing a relativistic gas is considered. The propagation of infinitesimal disturbances is studied. Given the frequency of the disturbance, the complex wave number is shown to exhibit a continuous spectrum. A detailed analysis, however, indicates the possibility of isolating, at least in an asymptotic sense, a sort of discrete spectrum imbedded in the continuum. The spectrum obtained by such asymptotic analysis is in agreement with the corresponding results for the Boltzmann equation.

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Authors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Milano, Italy

    Carlo Cercignani

  2. Seminario Matematico, Università di Catania, Italy

    Armando Majorana

Authors
  1. Carlo Cercignani
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  2. Armando Majorana
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Partially supported by G.N.F.M. of C.N.R. and M.P.I. contract number (40%) 20120201/81 - (A) - 218142055.

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Cercignani, C., Majorana, A. Propagation of infinitesimal disturbances in a gas according to a relativistic kinetic model. Meccanica 19, 175–181 (1984). https://doi.org/10.1007/BF01743729

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  • DOI: https://doi.org/10.1007/BF01743729

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