×

zbMATH — the first resource for mathematics

Shock formation in fluids having embedded regions of negative nonlinearity. (English) Zbl 0623.76071

MSC:
76L05 Shock waves and blast waves in fluid mechanics
76N15 Gas dynamics, general
76M99 Basic methods in fluid mechanics
82B40 Kinetic theory of gases in equilibrium statistical mechanics
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] A. H. Shapiro,The Dynamics and Thermodynamics of Compressible Fluid Flow(Wiley, New York, 1953).
[2] Thompson, Phys. Fluids 14 pp 1843– (1971)
[3] P. A. Thompson,Compressible-Fluid Dynamics(McGraw-Hill, New York, 1972). · Zbl 0251.76001
[4] See National Technical Information Service Document No. PB 032189 (Office of Scientific Research and Development Rep. No. 545). Copies are available at the U.S. Library of Congress under the NTIS number.
[5] Zel’dovich, Zh. Eksp. Teor. Fiz. 4 pp 363– (1946)
[6] L. D. Landau and E. M. Lifshitz,Fluid Mechanics(Addison-Wesley, Reading, MA, 1959).
[7] Thompson, J. Fluid Mech. 60 pp 187– (1973)
[8] Borisov, J. Fluid Mech. 126 pp 59– (1983)
[9] Thompson, J. Fluid Mech. 166 pp 57– (1986)
[10] Kynch, Trans. Faraday Soc. 48 pp 116– (1952)
[11] A. Kluwick (private communication).
[12] Temperley, Proc. Phys. Soc. London Sect. A 64 pp 105– (1951)
[13] Osborne, Proc. Phys. Soc. London Sect. A 64 pp 114– (1951)
[14] Khalatnikov, Zh. Eksp. Teor. Fiz. 23 pp 253– (1952)
[15] Dessler, Phys. Rev. 104 pp 6– (1956)
[16] Garrett, J. Acoust. Soc. Am. 60 pp 139– (1981)
[17] Barker, J. Appl. Phys. 41 pp 4208– (1970)
[18] Bains, J. Acoust. Soc. Am. 57 pp 745– (1975)
[19] I. P. Lee-Bapty, Ph.D. dissertation, Leeds University, 1981.
[20] D. G. Crighton,Proceedings of the IUTAM Symposium on Nonlinear Deformation Waves(Springer, Berlin, 1982), p. 115.
[21] Cramer, J. Fluid Mech. 142 pp 9– (1984)
[22] M. S. Cramer, A. Kluwick, L. T. Watson, and W. Pelz, submitted to J. Fluid Mech.
[23] T. N. Turner, Ph.D. dissertation, California Institute of Technology, 1979.
[24] Turner, Physica 107B pp 701– (1981)
[25] Turner, Phys. Fluids 26 pp 3227– (1983)
[26] C. J. Adkins,Equilibrium Thermodynamics(Cambridge U.P., Cambridge, MA, 1983).
[27] W. D. Hayes, Gasdynamic Discontinuities,Princeton Series on High Speed Aerodynamics and Jet Propulsion(Princeton U.P., Princeton, NJ, 1960).
[28] G. B. Whitham,Linear and Nonlinear Waves(Interscience, New York, 1974). · Zbl 0373.76001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.