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.
P. A. Lagerstrom and M. D. Van Dyke, General considerations about planar and non-planar lifting systems, Douglas Rept. No. SM-13432, 1949
Z. O. Bleviss, Some integrated properties of pressure fields about supersonic wings, J. Aero. Sci. (20) 12, 849-851 (1953)
- 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
- 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 83336
- Antonio Ferri, Joseph H. Clarke, and Lu Ting, Favorable interference in lifting systems in supersonic flow, J. Aero. Sci. 24 (1957), 791–804. MR 90325
O. Kellogg, Foundations of potential theory, Dover Publications, New York, 1953, pp. 84-88
- Carlo Ferrari, Interference between wing and body at supersonic speeds—theory and numerical application, J. Aeronaut. Sci. 15 (1948), 317–336. MR 25877
J. N. Nielsen, Quasi-cylindrical theory of wing body interference at supersonic speeds and comparison with experiment, NACA Rept. No. 1252, 1955
- 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 98553
- George K. Morikawa, A non-planar boundary problem for the wave equation, Quart. Appl. Math. 10 (1952), 129–140. MR 47471, DOI https://doi.org/10.1090/S0033-569X-1952-47471-4
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
- Lu Ting, Diffraction and reflection of weak shocks by structures, J. Math. Physics 32 (1953), 102–116. MR 0059725
W. R. Smith, Diffraction of a shock wave over a rectangular notch, Tech. Rept. II-15, Dept. of Physics, Princeton University, Feb. 1954
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
P. A. Lagerstrom and M. D. Van Dyke, General considerations about planar and non-planar lifting systems, Douglas Rept. No. SM-13432, 1949
Z. O. Bleviss, Some integrated properties of pressure fields about supersonic wings, J. Aero. Sci. (20) 12, 849-851 (1953)
A. Ferri, Recent theoretical work in supersonic aerodynamics at the Polytechnic Institute of Brooklyn, Proc. Conf. High-Speed Aeronautics, Polytechnic Institute of Brooklyn, N. Y., 1955, pp. 355-361
A. Ferri and J. H. Clarke, On the use of interfering flow fields for the reduction of drag at supersonic speeds, J. Aero. Sci. (24) 1, 1-18 (1957)
A. Ferri, J. H. Clarke and L. Ting, Favorable interference in lifting systems in supersonic flow, J. Aero. Sci. (24) 11, 791-804 (1957)
O. Kellogg, Foundations of potential theory, Dover Publications, New York, 1953, pp. 84-88
C. Ferrari, Interference between wing and body at supersonic speeds—theory and numerical application, J. Aero. Sci. (15) 6, 317-336 (1948)
J. N. Nielsen, Quasi-cylindrical theory of wing body interference at supersonic speeds and comparison with experiment, NACA Rept. No. 1252, 1955
L. Ting, Diffraction of disturbances around a convex right corner with applications in acoustics and wing body interferences, J. Aero. Sci. (24) 11, 821-830 (1957)
G. K. Morikowa, A non-planar boundary problem for the wave equation, J. Appl. Math. (X) 2, 129-140 (1952)
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
L. Ting, Diffraction and reflection of weak shocks by structures, J. Math. Phys. (XXXII) 2-3, 102-116 (1953)
W. R. Smith, Diffraction of a shock wave over a rectangular notch, Tech. Rept. II-15, Dept. of Physics, Princeton University, Feb. 1954
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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Article copyright:
© Copyright 1959
American Mathematical Society
