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A technique for time-dependent boundary value problems in the kinetic theory of gases part II. Application to sound propagation

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Abstract

Following the procedure indicated in part I, a canonical solution of the matrix Riemann-Hilbert problem for sound propagation in a gas occupying a half space is presented. The closed form solution is computed numerically for three particular values of the sound frequency. The results compare favorably with a previously known numerical solution.

Sommario

Seguendo il procedimento indicate nella prima parte, si presenta una soluzione canonica del problema matriciale di Riemann-Hilbert per la propagazione del suono in un gas che occupa un semispazio. La soluzione viene poi calcolata numericamente per tre valori particolari della frequenza. I risultati sono in buon accordo con una precedente soluzione numerica.

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Authors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    K. Aoki & C. Cercignani

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  1. K. Aoki
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  2. C. Cercignani
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On leave from the Department of Aeronautical Engineering, Kyoto University, Kyoto 606, Japan.

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Aoki, K., Cercignani, C. A technique for time-dependent boundary value problems in the kinetic theory of gases part II. Application to sound propagation. Z. angew. Math. Phys. 35, 345–362 (1984). https://doi.org/10.1007/BF00944883

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  • DOI: https://doi.org/10.1007/BF00944883

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