Some recent investigations in the theory of hydrodynamic stability
Authors:
J. R. Foote and C. C. Lin
Journal:
Quart. Appl. Math. 8 (1950), 265-280
MSC:
Primary 76.1X
DOI:
https://doi.org/10.1090/qam/38189
MathSciNet review:
38189
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C. C. Lin, On the Stability of Two-Dimensional Parallel Flows, Parts I, II, III; Q. Appl. Math. 3, 117-142, 218-234, 277-301 (1945).
- Martin Lessen, On the stability of the free laminar boundary layer between parallel streams, Tech. Notes Nat. Adv. Comm. Aeronaut. 1949 (1949), no. 1929, 31. MR 0035146
- P. Chiarulli, Stability of two-dimensional velocity distributions of the half-jet type, Headquarters Air Materiel Command, Wright Patterson Air Force Base, Dayton, Ohio., 1949. Prepared under the supervision of C. C. Lin; Tech. Rep. no. F-TS-1228-IA (GDAM A9-M-VI(Sup. 1)). MR 0032322
- Wolfgang Wasow, The complex asymptotic theory of a fourth order differential equation of hydrodynamics, Ann. of Math. (2) 49 (1948), 852–871. MR 27933, DOI https://doi.org/10.2307/1969402
W. Tollmien, Ein allgemeines Kriterium der Instabilitaet laminarer Geschwindigkeitsverteilungen, Nachr. Ges. Wiss. Gottingen (neue Folge), 1, 79-114 (1935).
R. von Mises and K. O. Friedrichs, Fluid Dynamics, Brown University Notes, pp. 205-207 (1941).
C. G. Rossby, On a Mechanism for the Release of Potential Energy in the Atmosphere, Jour. of Meteorology, 6, 163-180 (1949).
Hsiao-lan Kuo, Dynamic Instability of Two-Dimensional Nondivergent Flow in a Barotropic Atmosphere, Jour. of Meteorology, 6, 105-122 (1949).
R. Courant and D. Hilbert, Methoden der Mathematischen Physik, vol. 1, p. 344 ff.
C. C. Lin, On the Stability of Two-Dimensional Parallel Flows, Parts I, II, III; Q. Appl. Math. 3, 117-142, 218-234, 277-301 (1945).
M. Lessen, On the Stability of the Free Laminar Boundary Layer between Parallel Streams, Thesis for Sc.D. at Mass. Inst, of Tech. (1948); also NACA Tech. Note No. 1929 (1947).
P. Chiarulli, Stability of Two-dimensional Velocity Distributions of the Half-Jet Type, Thesis for Ph.D. at Brown Univ. (1949); also Headquarters Air Material Command Technical Report No. F-TS-1228-IA (1949).
W. Wasow, The Complex Asymptotic Theory of a Fourth Order Differential Equation of Hydrodynamics, Annals Math., 49, 852-871 (1948).
W. Tollmien, Ein allgemeines Kriterium der Instabilitaet laminarer Geschwindigkeitsverteilungen, Nachr. Ges. Wiss. Gottingen (neue Folge), 1, 79-114 (1935).
R. von Mises and K. O. Friedrichs, Fluid Dynamics, Brown University Notes, pp. 205-207 (1941).
C. G. Rossby, On a Mechanism for the Release of Potential Energy in the Atmosphere, Jour. of Meteorology, 6, 163-180 (1949).
Hsiao-lan Kuo, Dynamic Instability of Two-Dimensional Nondivergent Flow in a Barotropic Atmosphere, Jour. of Meteorology, 6, 105-122 (1949).
R. Courant and D. Hilbert, Methoden der Mathematischen Physik, vol. 1, p. 344 ff.
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© Copyright 1950
American Mathematical Society
