Unified formalism of the linearized compressible flow fields

Author:
Iwao Hosokawa

Journal:
Quart. Appl. Math. **22** (1964), 133-142

MSC:
Primary 76.35

DOI:
https://doi.org/10.1090/qam/167100

MathSciNet review:
167100

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References | Similar Articles | Additional Information

**[1]**G. N. Ward,*Linearized theory of steady high-speed flow*, Cambridge, at the University Press, 1955. MR**0067649****[2]**Theodore von Karman,*The similarity law of transonic flow*, J. Math. Phys. Mass. Inst. Tech.**26**(1947), 182–190. MR**0022504**, https://doi.org/10.1002/sapm1947261182**[3]**K. Oswatitsch and F. Keune,*The flow around bodies of revolution at Mach number 1*, Proc. Conf. on High-Speed Aeronautics, Polytech. Inst. Brooklyn, N. Y., 1955, p. 113**[4]**P. F. Maeder and H. U. Thommen,*Some results of linearized transonic flow about slender airfoils and bodies of revolution*, J. Aero. Sci.**23**(1956) 187**[5]**Iwao Hosokawa,*A refinement of the linearized transonic flow theory*, J. Phys. Soc. Japan**15**(1960), 149–157. MR**0110383**, https://doi.org/10.1143/JPSJ.15.149**[6]**P. F. Maeder and H. U. Thommen,*Linearized transonic flow about slender bodies at zero angle of attack.*, Trans. ASME Ser. E. J. Appl. Mech.**28**(1961), 481–490. MR**0136232****[7]**J. R. Spreiter and A. Y. Alksne,*Thin airfoil theory based on approximate solution of the transonic flow equation*, NACA Rep. 1359 (1958), and*Slender body theory based on approximate solution of the transonic flow equation*, NASA Rep. 2 (1959)**[8]**Karl-Richard Dorfner,*Dreidimensionale Überschallprobleme der Gasdynamik*, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1957 (German). MR**0087428****[9]**L. Schwartz,*Théorie des distributions*, Hermann, Paris, Vol. I (1950), Vol. II (1951)**[10]**John R. Spreiter,*On alternative forms for the basic equations of transonic flow theory*, J. Aeronaut. Sci.**21**(1954), 70–72. MR**0058401****[11]**A. Robinson and J. A. Laurmann,*Wing theory*, Cambridge, at the University Press, 1956. MR**0082299****[12]**N. I. Muskhelishvili,*Singular integral equations*, Wolters-Noordhoff Publishing, Groningen, 1972. Boundary problems of functions theory and their applications to mathematical physics; Revised translation from the Russian, edited by J. R. M. Radok; Reprinted. MR**0355494**

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DOI:
https://doi.org/10.1090/qam/167100

Article copyright:
© Copyright 1964
American Mathematical Society