Intrinsic form of the characteristic relations in the steady supersonic flow of a compressible fluid
Author:
N. Coburn
Journal:
Quart. Appl. Math. 15 (1957), 237-248
MSC:
Primary 76.0X
DOI:
https://doi.org/10.1090/qam/91711
MathSciNet review:
91711
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Additional Information
- N. Coburn, Intrinsic relations satisfied by the vorticity and velocity vectors in fluid flow theory, Michigan Math. J. 1 (1952), 113–130 (1953). MR 62559
- N. Coburn, Discontinuities in compressible fluid flow, Math. Mag. 27 (1954), 245–264. MR 62579, DOI https://doi.org/10.2307/3029237
- R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves, Interscience Publishers, Inc., New York, N. Y., 1948. MR 0029615
- 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
Reference 3, p. 22
Reference 5, p. 294
R. H. Wasserman in some recent work on his doctorate thesis has classified all flows with helical stream lines and has verified the existence of the flow of Sec. 6
N. Coburn, Intrinsic relations satisfied by the velocity and vorticity vectors, Michigan Math. J. (2) 1, 113-130 (1952)
N. Coburn, Discontinuities in compressible fluid flows, Math. Mag. (5) 27, 245-264 (1954). The extensions to the non-isentropic flow of a polytropic gas and a general fluid were obtained by Mr. J. McCully and Mr. L. E. Miller, respectively (not published as yet)
R. Courant and K. O. Friedrichs, Supersonic flow and shock waves, Interscience Publishers, N.Y., 1948, p. 247 for the isentropic two-dimensional case
C. L. Dolph and N. Coburn, The method of characteristics in the three-dimensional stationary supersonic flow of a compressible gas, Proc. of the First Symposium of Appl. Math., 1947, Am. Math. Soc., 1949, 55-66
N. Coburn, Vector and tensor analysis, The Macmillan Co., N.Y., 1955, p. 227
Reference 3, p. 22
Reference 5, p. 294
R. H. Wasserman in some recent work on his doctorate thesis has classified all flows with helical stream lines and has verified the existence of the flow of Sec. 6
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Article copyright:
© Copyright 1957
American Mathematical Society
