Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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A note on Bateman's variational principle for compressible fluid flow


Author: Chi-Teh Wang
Journal: Quart. Appl. Math. 9 (1951), 99-102
MSC: Primary 76.1X
DOI: https://doi.org/10.1090/qam/40902
MathSciNet review: 40902
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References [Enhancements On Off] (What's this?)

  • [1] R. Hargreaves, A pressure-integral as kinetic potential, Phil. Mag. 436-444 (1908).
  • [2] H. Bateman, Notes on a differential equation which occurs in the two-dimensional motion of a compressible fluid and the associated variational problems, Proc. Roy. Soc. London (A) 125, 598-618 (1929).
  • [3] Chi-Teh Wang, Variational method in the theory of compressible fluid, J. Aeronaut. Sci. 15 (1948), 675–685. MR 0027660
  • [4] Chi-Teh Wang, Two dimensional subsonic compressible flows past arbitrary bodies by the variational method. Report submitted to NACA, June 1949.
  • [5] Chi-Teh Wang and G. V. R. Rao, A study of the nonlinear characteristics of compressible flow equations by means of variational methods, J. Aeronaut. Sci. 17 (1950), 343–348. MR 0035583
  • [6] Chi-Teh Wang and R. F. Brodsky, Application of Galerkin’s method to compressible fluid flow problems, J. Appl. Phys. 20 (1949), 1255–1256. MR 0033680
  • [7] Chi-Teh Wang and R. F. Brodsky, Approximate solution of compressible fluid-flow problems by Galerkin’s method, J. Aeronaut. Sci. 17 (1950), 660–666. MR 0038142
  • [8] Chi-Teh Wang and Pei-Chi Chou, Application of Biezeno-Koch method to compressible fluid flow problems, J. Aeronaut. Sci. 17 (1950), 599–600. MR 0037686
  • [9] Chi-Teh Wang and S. de los Santos, Approximate solutions of compressible flows past bodies of revolution by variational method, to be published in J. of Appl. Mech. as Paper No. 50-A-33.

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DOI: https://doi.org/10.1090/qam/40902
Article copyright: © Copyright 1951 American Mathematical Society


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