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A technique for time-dependent boundary value problems in the kinetic theory of gases Part I. Basic analysis

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Abstract

The matrix Riemann-Hilbert problem arising in the time-dependent BGK model for half space problems is analyzed. The method used is similar to the one originally introduced by one of the authors for steady problems. A general procedure is given which leads to closed form solutions.

Sommario

Si considera il problema matriciale di Riemann-Hilbert che si presenta nel risolvere il modello BGK per problemi dipendenti dal tempo in un semispazio. Facendo uso di un metodo originariamente introdotto da uno degli autori per problemi stazionari si indica un procedimento per ottenere una soluzione per via analitica.

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Authors and Affiliations

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

    K. Aoki & C. Cercignani

Authors
  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 I. Basic analysis. Z. angew. Math. Phys. 35, 127–143 (1984). https://doi.org/10.1007/BF00947927

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  • DOI: https://doi.org/10.1007/BF00947927

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