Two-dimensional subsonic flows of a compressible fluid and their singularities
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- Trans. Amer. Math. Soc. 62 (1947), 452-498 Request permission
Erratum: Trans. Amer. Math. Soc. 63 (1948), 599-600.
References
- L. Ahlfors, Untersuchungen zur Theorie der konformen Abbildung der ganzen Funktionen. Acta Societatis scientiarum Fennica N.S. vol. 1 (1930).
- Lars Ahlfors, Zur Theorie der Überlagerungsflächen, Acta Math. 65 (1935), no. 1, 157–194 (German). MR 1555403, DOI 10.1007/BF02420945 Stefan Bergman, The hodograph method in the theory of compressible fluid, Supplement to Fluid dynamics by von Mises and Friedrichs, Brown University, 1941-1942. —, Partial differential equations, advanced topics (Conformal mapping of multiply connected domains), Brown University, 1941.
- Stefan Bergman, A formula for the stream function of certain flows, Proc. Nat. Acad. Sci. U.S.A. 29 (1943), 276–281. MR 10079, DOI 10.1073/pnas.29.9.276
- Stefan Bergman, Residue theorems of harmonic functions of three variables, Bull. Amer. Math. Soc. 49 (1943), 163–174. MR 7556, DOI 10.1090/S0002-9904-1943-07882-2
- Stefan Bergman, On two-dimensional flows of compressible fluids, Tech. Notes Nat. Adv. Comm. Aeronaut. 1945 (1945), no. 972, 81 pp. (3 plates). MR 0014874
- Stefan Bergman, Graphical and analytical methods for the determination of a flow of a compressible fluid around an obstacle, Tech. Notes Nat. Adv. Comm. Aeronaut. 1945 (1945), no. 973, 29 pp. (8 plates). MR 0014875
- Stefan Bergman, Certain classes of analytic functions of two real variables and their properties, Trans. Amer. Math. Soc. 57 (1945), 299–331. MR 12370, DOI 10.1090/S0002-9947-1945-0012370-8
- Stefan Bergman, Methods for determination and computation of flow patterns of a compressible fluid, Tech. Notes Nat. Adv. Comm. Aeronaut. 1946 (1946), no. 1018, 71. MR 0018506
- Lipman Bers and Abe Gelbart, On a class of differential equations in mechanics of continua, Quart. Appl. Math. 1 (1943), 168–188. MR 8556, DOI 10.1090/S0033-569X-1943-08556-1
- Lipman Bers and Abe Gelbart, On a class of functions defined by partial differential equations, Trans. Amer. Math. Soc. 56 (1944), 67–93. MR 10910, DOI 10.1090/S0002-9947-1944-0010910-5
- S. Chaplygin, Gas jets, Tech. Notes Nat. Adv. Comm. Aeronaut. 1944 (1944), no. 1063, 112 pp. (3 plates). MR 15979
- Joaquin B. Diaz, On a class of partial differential equations of even order, Amer. J. Math. 68 (1946), 611–659. MR 19828, DOI 10.2307/2371788 H. Kraft and C. Dibble, Some two-dimensional adiabatic compressible flow patterns, Journal of Aeronautical Science vol. 11 (1944) pp. 283-298. M. Lavrentieff, Sur une classe de représentations continues, C. R. Acad. Sei. Paris vol. 200 (1935) pp. 1010-1012. —, Sur une classe de représentations continues, Rec. Math. (Mat. Sbornik) N.S. vol. 42 (1935) pp. 407-424. P. Molenbroek, Über einige Bewegungen eines Gases mit Annahme eines Geschwindigkeits potentials, Archiv der Mathematik und Physik (2) vol. 9 (1890) pp. 157-195.
- Friedrich Ringleb, Exakte Lösungen der Differentialgleichungen einer adiabatischen Gasströmung, Z. Angew. Math. Mech. 20 (1940), 185–198 (German). MR 3140, DOI 10.1002/zamm.19400200402
- Th. von Kármán, Compressibility effects in aerodynamics, J. Aeronaut. Sci. 8 (1941), 337–356. MR 5848 R. von Mises, Theory of flight, McGraw-Hill publications in Aeronautical Science, New York, 1945.
- R. v. Mises, Integral theorems in three-dimensional potential flow, Bull. Amer. Math. Soc. 50 (1944), 599–611. MR 10834, DOI 10.1090/S0002-9904-1944-08175-5 R. von Mises and K. Friedrichs, Fluid dynamics, Lecture Notes, Brown University, 1941.
Additional Information
- © Copyright 1947 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 62 (1947), 452-498
- MSC: Primary 76.1X
- DOI: https://doi.org/10.1090/S0002-9947-1947-0026498-1
- MathSciNet review: 0026498