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.
Similar content being viewed by others
References
J. T. Kriese, T. S. Chang andC. E. Siewert, Int. J. Engng. Sci.12, 441 (1974).
C. Cercignani,Mathematical Methods in Kinetic Theory (Plenum, New York, 1969).
N. I. Muskhelishvili,Singular Integral Equations (Noordhoff, Alphen a.d. Rijn, 1953).
J. Darrozès, La Recherche Aérospatiale119, 13 (1967).
C. Cercignani, Trans. Theory and Stat. Phys.6, 29 (1977).
Y. L. Yuan, private communication (1979).
M. Abramowitz andI. A. Stegun, Eds.Handbook of Mathematical Functions (National Bureau of Standards, Applied Math Series 55, 1964).
J. R. Thomas, Jr., private communication (1979).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01590661