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Weinstein, Alexander

Generalized axially symmetric potential theory. (English) Zbl 0053.25303

Bull. Am. Math. Soc. 59, 20-38 (1953).
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Cited in 1 Review
Cited in 139 Documents

Keywords:

partial differential equations
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References:

[1] E. Beltrami, Opere Matematiche, vol. 3, Milano, Hoepli, 1911, pp. 349-382.
[2] W. Arndt, Die Torsion von Wellen mit achsensymmetrischen Bohrungen und Hohlräumen, Dissertation, Göttingen, 1916.
[3] Lipman Bers and Abe Gelbart, On a class of differential equations in mechanics of continua, Quart. Appl. Math. 1 (1943), 168 – 188. · Zbl 0063.00340
[4] Alexander Weinstein, Discontinuous integrals and generalized potential theory, Trans. Amer. Math. Soc. 63 (1948), 342 – 354. · Zbl 0038.26204
[5] A. Weinstein, The method of singularities in the physical and in the hodograph plane, Fourth Symposium of Applied Mathematics (in print). · Zbl 0053.14504
[6] L. E. Payne, On axially symmetric flow and the method of generalized electrostatics, Quart. Appl. Math. 10 (1952), 197 – 204. · Zbl 0048.19005
[7] F. G. Mehler, Ueber eine mit den Kugel- und Cylinderfunctionen verwandte Function und ihre Anwendung in der Theorie der Elektricitätsvertheilung, Math. Ann. 18 (1881), no. 2, 161 – 194 (German). · JFM 13.0779.02 · doi:10.1007/BF01445847
[8] G. Szegö, On the capacity of a condenser, Bull. Amer. Math. Soc. 51 (1945), 325 – 350. · Zbl 0063.07262
[9] E. Hobson, Spherical and ellipsoidal harmonics, Cambridge University Press, 1931. · Zbl 0004.21001
[10] Max Shiffman and D. C. Spencer, The flow of an ideal incompressible fluid about a lens, Quart. Appl. Math. 5 (1947), 270 – 288. · Zbl 0029.28301
[11] F. G. Mehler, Ueber die Vertheilung der statischen Elektricität in einem von zwei Kugelkalotten begrenzten Körper, J. Reine Angew. Math. vol. 68 (1868) pp. 134-150. · ERAM 068.1761cj
[12] Alexander Weinstein, On cracks and dislocations in shafts under torsion, Quart. Appl. Math. 10 (1952), 77 – 81. · Zbl 0047.43001
[13] L. E. Payne and Alexander Weinstein, Capacity, virtual mass, and generalized symmetrization, Pacific J. Math. 2 (1952), 633 – 641. · Zbl 0048.08102
[14] G. I. Taylor, The energy of a body moving in an infinite fluid with an application to airships, Proc. Roy. Soc. London ser. A vol. 120 (1928) pp. 21-33. · JFM 54.0918.02
[15] M. Schiffer and G. Szegö, Virtual mass and polarization, Trans. Amer. Math. Soc. 67 (1949), 130 – 205. · Zbl 0035.11803
[16] G. Pólya and G. Szegö, Isoperimetric Inequalities in Mathematical Physics, Annals of Mathematics Studies, no. 27, Princeton University Press, Princeton, N. J., 1951. · Zbl 0044.38301
[17] P. R. Garabedian and D. C. Spencer, Extremal methods in cavitational flow, J. Rational Mech. Anal. 1 (1952), 359 – 409. · Zbl 0046.18504
[18] M. Hyman, Abstracts (Preliminary Reports), Bull. Amer. Math. Soc. vol. 54 (1948) p. 1065; vol. 55 (1949) pp. 284-285.
[19] A. Van Tuyl, On the axially symmetric flow around a new family of half-bodies, Quart. Appl. Math. 7 (1950), 399 – 409. · Zbl 0035.11902
[20] M. A. Sadowsky and E. Sternberg, Elliptic integral representation of axially symmetric flows, Quart. Appl. Math. 8 (1950), 113 – 126. · Zbl 0037.27507
[21] Alexander Weinstein, On Tricomi’s equation and generalized axially symmetric potential theory, Acad. Roy. Belgique. Bull. Cl. Sci. (5) 37 (1951), 348 – 358. · Zbl 0043.10003
[22] Alexander Weinstein, Transonic flow and generalized axially symmetric potential theory, Symposium on theoretical compressible flow, 28 June 1949., Rep. NOLR-1132, Naval Ordnance Laboratory, White Oak, Md., 1950, pp. 73 – 82.
[23] Alexander Weinstein, On axially symmetric flows, Quart. Appl. Math. 5 (1948), 429 – 444. · Zbl 0029.17406
[24] Alexander Weinstein, On the torsion of shafts of revolution, Proc. Seventh Internat. Congress Appl. Mech., 1948. v. 1, publisher unknown, 1948, pp. 108 – 119.
[25] D. R. Davies and T. S. Walters, The effect of finite width of area on the rate of evaporation into a turbulent atmosphere, Quart. J. Mech. Appl. Math. 4 (1951), 466 – 480. · Zbl 0044.45604 · doi:10.1093/qjmam/4.4.466
[26] Monroe H. Martin, Riemann’s method and the problem of Cauchy, Bull. Amer. Math. Soc. 57 (1951), 238 – 249. · Zbl 0044.09803
[27] J. B. Diaz and M. H. Martin, Riemann’s method and the problem of Cauchy. II. The wave equation in \? dimensions, Proc. Amer. Math. Soc. 3 (1952), 476 – 483. · Zbl 0048.33304
[28] Alexandre Weinstein, Sur le problème de Cauchy pour l’équation de Poisson et l’équation des ondes, C. R. Acad. Sci. Paris 234 (1952), 2584 – 2585 (French). · Zbl 0046.10703
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