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An analytical solution to a matrix Riemann-Hilbert problem

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Abstract

The matrix Riemann-Hilbert problem relevant to the BGK model in the kinetic theory of gases is solved analytically.

Zusammenfassung

Das Matrix-Riemann-Hilbert Problem, das in der kinetischen Theorie der Gase für das BGK-Modell auftritt, wird analytisch gelöst.

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References

  1. J. T. Kriese, T. S. Chang andC. E. Siewert, Int. J. Engng. Sci.12, 441 (1974).

    Google Scholar 

  2. C. Cercignani,Mathematical Methods in Kinetic Theory (Plenum, New York, 1969).

    Google Scholar 

  3. N. I. Muskhelishvili,Singular Integral Equations (Noordhoff, Alphen a.d. Rijn, 1953).

    Google Scholar 

  4. J. Darrozès, La Recherche Aérospatiale119, 13 (1967).

    Google Scholar 

  5. C. Cercignani, Trans. Theory and Stat. Phys.6, 29 (1977).

    Google Scholar 

  6. Y. L. Yuan, private communication (1979).

  7. M. Abramowitz andI. A. Stegun, Eds.Handbook of Mathematical Functions (National Bureau of Standards, Applied Math Series 55, 1964).

  8. J. R. Thomas, Jr., private communication (1979).

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Siewert, C.E., Kelley, C.T. An analytical solution to a matrix Riemann-Hilbert problem. Journal of Applied Mathematics and Physics (ZAMP) 31, 344–351 (1980). https://doi.org/10.1007/BF01590661

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  • DOI: https://doi.org/10.1007/BF01590661

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