Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Exact solutions of compressible plane potential flows--a new method

Authors: O. P. Chandna and I. Husain
Journal: Quart. Appl. Math. 59 (2001), 175-191
MSC: Primary 76N15; Secondary 76M40
DOI: https://doi.org/10.1090/qam/1811102
MathSciNet review: MR1811102
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] O. P. Chandna, I. Husain, and A. Latypov, Exact solutions of compressible plane potential flows--A new approach, Arch. Rational Mech. Anal. 137, 177-201 (1997) MR 1463794
  • [2] S. A. Chaplygin, On Gas Jets, Sci. Ann. Imperial Univ. Moscow, Physico-Mathematical Div., No. 21, Moscow, 1904 (available in translation as NACA TM 1063)
  • [3] R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves, Wiley (Interscience), New York, 1948 MR 0029615
  • [4] J. W. Craggs, The compressible flow corresponding to a line doublet, Quart. Appl. Math. 10, 88-93 (1952) MR 0046232
  • [5] M. H. Martin, The flow of a viscous fluid I, Arch. Rational Mech. Anal. 41, 266-286 (1971) MR 0342014
  • [6] P. Molenbroek, Über einige Bewegungen eines Gases mit Annahme eines Geschwindigkeitspotentials, Archiv Math. und Phys., Bd. 2, Heft 9, p. 157, 1890
  • [7] A. H. Shapiro, The Dynamics and Thermodynamics of Compressible Fluid Flow, Vol. 1, Ronald Press, New York, 1953
  • [8] G. I. Taylor, Recent work on the flow of compressible fluids, J. London Math. Soc. 5, 224-240 (1930) MR 1574079
  • [9] Th. von Kármám, Compressibility effects in aerodynamics, J. Aero. Sci. 8, no. 9, 337-356 (1941) MR 0005848
  • [10] R. von Mises, Mathematical Theory of Compressible Fluid Flow, Academic Press, New York, 1958 MR 0094996
  • [11] C. E. Wathernburn, Differential Geometry of Three Dimensions, Cambridge, 1939
  • [12] L. C. Woods, The Theory of Subsonic Plane Flow, Cambridge University Press, 1961 MR 0127679

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 76N15, 76M40

Retrieve articles in all journals with MSC: 76N15, 76M40

Additional Information

DOI: https://doi.org/10.1090/qam/1811102
Article copyright: © Copyright 2001 American Mathematical Society

American Mathematical Society