Generalized Prandtl-Meyer waves in relaxation hydrodynamics
Author:
N. Coburn
Journal:
Quart. Appl. Math. 25 (1967), 147-162
MSC:
Primary 76.35
DOI:
https://doi.org/10.1090/qam/219272
MathSciNet review:
219272
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Additional Information
- N. Coburn, Intrinsic form of the characteristic relations in the steady supersonic flow of a compressible fluid, Quart. Appl. Math. 15 (1957), 237–248. MR 91711, DOI https://doi.org/10.1090/S0033-569X-1957-91711-9
- R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves, Interscience Publishers, Inc., New York, N. Y., 1948. MR 0029615
F. Tan, Generalized Prandtl-Meyer flow, Technical Report No. DA-20-O18-O.R.D.-17213, Detroit, Michigan, University of Michigan, Research Institute, Ann Arbor, Michigan, 1959
- N. Coburn, A note on “The method of characteristics for a perfect compressible fluid in general relativity and non-steady Newtonian mechanics”, J. Math. Mech. 8 (1959), 787–792. MR 0106758, DOI https://doi.org/10.1512/iumj.1959.8.58050
- N. Coburn, General theory of simple waves in relaxation hydrodynamics, J. Math. Anal. Appl. 11 (1965), 102–130. MR 181190, DOI https://doi.org/10.1016/0022-247X%2865%2990072-7
E. V. Stupochenko, and I. P. Stakhanov, The equations of relaxation hydrodynamics, Soviet Phys.— Doklady, 4 (1960, Translated. Dokl. Akad. Nauk SSSR 134 (1960), 782–785
- N. Coburn and C. L. Dolph, The method of characteristics in the three-dimensional stationary supersonic flow of a compressible gas, Proc. Symposia Appl. Math., Vol. I, American Mathematical Society, New York, N. Y., 1949, pp. 55–66. MR 0030371
- Nathaniel Coburn, Vector and tensor analysis, The Macmillan Company, New York, 1955. MR 0072516
- Luther Pfahler Eisenhart, Riemannian Geometry, Princeton University Press, Princeton, N. J., 1949. 2d printing. MR 0035081
C. E. Weatherburn, Differential geometry of three dimensions, Cambridge Univ. Press, New York, 1927
T. Y. Li, Recent advances in nonequilibrium dissociating gasdynamics, A.R.S. Journal, February 1961
C. Yuan, Non-equilibrium hydrodynamics of a chemically reacting fluid, AT-ATOSR-20-63, University of Michigan Report, O.R.A. 05424 I-P, 1963
- M. J. Lighthill, Dynamics of a dissociating gas. I. Equilibrium flow, J. Fluid Mech. 2 (1957), 1–32. MR 87426, DOI https://doi.org/10.1017/S0022112057000713
N. Coburn, Intrinsic form of the characteristic relations in the steady supersonic flow of a compressible fluid, Quart. Appl. Math. 15, 237–248 (1957)
R. Courant and K. O. Friedrichs, Supersonic flow and shock waves, Interscience, New York 1948
F. Tan, Generalized Prandtl-Meyer flow, Technical Report No. DA-20-O18-O.R.D.-17213, Detroit, Michigan, University of Michigan, Research Institute, Ann Arbor, Michigan, 1959
N. Coburn, Instrinsic form of the characteristic relations for a perfect compressible fluid in general relativity and non-steady Newtonian mechanics, J. Math. Mech. 8, 5 (1959)
N. Coburn, General theory of simple waves in relaxation hydrodynamics, J. Math. Anal. Appl. 11, 102–130 (1965)
E. V. Stupochenko, and I. P. Stakhanov, The equations of relaxation hydrodynamics, Soviet Phys.— Doklady, 4 (1960, Translated. Dokl. Akad. Nauk SSSR 134 (1960), 782–785
C. L. Dolph and N. Coburn, The method of characteristics in three-dimensional stationary supersonic flow of a compressible gas, Proc. Symposia Appl. Math., Vol. I, pp. 55–66, Amer. Math. Soc., Providence, R. I., 1949
N. Coburn, Vector and tensor analysis, Macmillan, New York, 1955
L. P. Eisenhart, Riemannian geometry, Princeton Univ. Press, Princeton, N. J., 1926
C. E. Weatherburn, Differential geometry of three dimensions, Cambridge Univ. Press, New York, 1927
T. Y. Li, Recent advances in nonequilibrium dissociating gasdynamics, A.R.S. Journal, February 1961
C. Yuan, Non-equilibrium hydrodynamics of a chemically reacting fluid, AT-ATOSR-20-63, University of Michigan Report, O.R.A. 05424 I-P, 1963
M. J. Lighthill, Dynamics of a dissociating gas. I. Equilibrium flow, J. Fluid Mech., 2, 1–32 (1957)
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Article copyright:
© Copyright 1967
American Mathematical Society