On the stability of some flows of an ideal fluid with free surfaces
Authors:
J. L. Fox and G. W. Morgan
Journal:
Quart. Appl. Math. 11 (1954), 439-456
MSC:
Primary 76.1X
DOI:
https://doi.org/10.1090/qam/59108
MathSciNet review:
59108
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Additional Information
C. M. Ablow and W. D. Hayes, Perturbation of free surface flows, Technical Report No. 1, Office of Naval Research, Contract N7onr-35807, Graduate Division of Applied Mathematics, Brown University (1951).
H. Helmholtz, On the discontinuous movements of fluids, Phil. Mag., 36, 337 (1868).
G. Kirchoff, Zur Theorie freier Flüssigkeitsstrahlen, J. reine u. angew. Math., 70, 289 (1869).
- L. M. Milne-Thomson, Theoretical Hydrodynamics, The Macmillan Company, New York, N. Y., 1950. 2nd ed. MR 0033660
William Thomson, Vibrations of a columnar vortex, Phil. Mag. (5) 10, 155 (1880).
H. Lamb, Hydrodynamics, Dover Publications, 6th edition, 1945.
A. Forsyth, Theory of differential equations, Part III, vol. 4, Cambridge University Press, 1902.
- E. L. Ince, Ordinary Differential Equations, Dover Publications, New York, 1944. MR 0010757
K. W. Mangler, Improper integrals in theoretical aerodynamics, Royal Aircraft Establishment, Farnborough, Report Aero. 2424 (1951).
K. Heun, Zur Theorie der Riemann’schen Functionen zweiter Ordnung mit vier Verzweigungspunkten, Math. Ann. 33, 161 (1889).
- Chester Snow, The Hypergeometric and Legendre Functions with Applications to Integral Equations of Potential Theory, National Bureau of Standards, U. S. Department of Commerce, Washington, D. C., 1942. MR 0007817
C. M. Ablow and W. D. Hayes, Perturbation of free surface flows, Technical Report No. 1, Office of Naval Research, Contract N7onr-35807, Graduate Division of Applied Mathematics, Brown University (1951).
H. Helmholtz, On the discontinuous movements of fluids, Phil. Mag., 36, 337 (1868).
G. Kirchoff, Zur Theorie freier Flüssigkeitsstrahlen, J. reine u. angew. Math., 70, 289 (1869).
L. M. Milne-Thomson, Theoretical hydrodynamics, Macmillan, second edition, 1950.
William Thomson, Vibrations of a columnar vortex, Phil. Mag. (5) 10, 155 (1880).
H. Lamb, Hydrodynamics, Dover Publications, 6th edition, 1945.
A. Forsyth, Theory of differential equations, Part III, vol. 4, Cambridge University Press, 1902.
E. L. Ince, Ordinary differential equations, Dover Publications.
K. W. Mangler, Improper integrals in theoretical aerodynamics, Royal Aircraft Establishment, Farnborough, Report Aero. 2424 (1951).
K. Heun, Zur Theorie der Riemann’schen Functionen zweiter Ordnung mit vier Verzweigungspunkten, Math. Ann. 33, 161 (1889).
C. Snow, The hypergeometric and Legendre functions with application to integral equations of potential theory, National Bureau of Standards (1942).
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Article copyright:
© Copyright 1954
American Mathematical Society
