Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Some integrated properties of solutions of the wave equation with non-planar boundaries


Author: Lu Ting
Journal: Quart. Appl. Math. 16 (1959), 373-384
MSC: Primary 76.00
DOI: https://doi.org/10.1090/qam/102307
MathSciNet review: 102307
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Abstract: Integrated properties of solutions of the wave equation with non-planar boundaries are found and applied to three dimensional supersonic flow problems and two dimensional diffraction problems.


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

  • [1] P. A. Lagerstrom and M. D. Van Dyke, General considerations about planar and non-planar lifting systems, Douglas Rept. No. SM-13432, 1949
  • [2] Z. O. Bleviss, Some integrated properties of pressure fields about supersonic wings, J. Aero. Sci. (20) 12, 849-851 (1953)
  • [3] A. Ferri, Recent theoretical work in supersonic aerodynamics at the Polytechnic Institute of Brooklyn, Proceedings of the Conference on High-Speed Aeronautics, held January 20-22, 1955 at the Polytechnic Institute of Brooklyn, 1955. MR 0114467
  • [4] Antonio Ferri and Joseph H. Clarke, On the use of interfering flow fields for the reduction of drag at supersonic speeds, J. Aero. Sci. 24 (1957), 1–18. MR 0083336
  • [5] Antonio Ferri, Joseph H. Clarke, and Lu Ting, Favorable interference in lifting systems in supersonic flow, J. Aero. Sci. 24 (1957), 791–804. MR 0090325
  • [6] O. Kellogg, Foundations of potential theory, Dover Publications, New York, 1953, pp. 84-88
  • [7] Carlo Ferrari, Interference between wing and body at supersonic speeds—theory and numerical application, J. Aeronaut. Sci. 15 (1948), 317–336. MR 0025877
  • [8] J. N. Nielsen, Quasi-cylindrical theory of wing body interference at supersonic speeds and comparison with experiment, NACA Rept. No. 1252, 1955
  • [9] Lu Ting, Diffraction of disturbances around convex right corner with applications in acoustics and wing-body interference, J. Aero. Sci. 24 (1957), 821–830, 844. MR 0098553
  • [10] George K. Morikawa, A non-planar boundary problem for the wave equation, Quart. Appl. Math. 10 (1952), 129–140. MR 0047471, https://doi.org/10.1090/S0033-569X-1952-47471-4
  • [11] L. Ting, Generalization of integral relationship with applications in wing-body interference, wing theory and diffraction of pulses, PIBAL Rept. No. 379, Polytechnic Institute of Brooklyn, April 1957
  • [12] Lu Ting, Diffraction and reflection of weak shocks by structures, J. Math. Physics 32 (1953), 102–116. MR 0059725
  • [13] W. R. Smith, Diffraction of a shock wave over a rectangular notch, Tech. Rept. II-15, Dept. of Physics, Princeton University, Feb. 1954
  • [14] G. A. Coulter, Two-dimensional diffraction of plane shock waves over a rectangular opening, BRL Tech. Note No. 861, AF SWP No. 728, Feb. 1954

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DOI: https://doi.org/10.1090/qam/102307
Article copyright: © Copyright 1959 American Mathematical Society


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