Application of the Galerkin method to problems in hydrodynamic stability
Author:
Richard C. Di Prima
Journal:
Quart. Appl. Math. 13 (1955), 55-62
MSC:
Primary 76.1X
DOI:
https://doi.org/10.1090/qam/69670
MathSciNet review:
69670
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Additional Information
G. I. Taylor, On the stability of a viscous liquid contained between two rotating cylinders, Phil. Trans. A223, 289-343 (1923)
H. Jeffreys, Some cases of instability in fluid motion, Proc. Roy. Soc. A118, 195-208 (1928)
J. L. Synge, On the stability of a viscous liquid between rotating cylinders, Proc. Roy. Soc. A167, 250-256 (1938)
- Anne Pellew and R. V. Southwell, On maintained convective motion in a fluid heated from below, Proc. Roy. Soc. London Ser. A 176 (1940), 312–343. MR 3752, DOI https://doi.org/10.1098/rspa.1940.0092
- D. Meksyn, Stability of viscous flow between rotating cylinders. I, Proc. Roy. Soc. London Ser. A 187 (1946), 115–128. MR 19462, DOI https://doi.org/10.1098/rspa.1946.0069
- D. Meksyn, Stability of viscous flow between rotating cylinders. II. Cylinders rotating in opposite directions, Proc. Roy. Soc. London Ser. A 187 (1946), 480–491. MR 19463, DOI https://doi.org/10.1098/rspa.1946.0090
- D. Meksyn, Stability of viscous flow between rotating cylinders. III. Integration of a sixth order linear equation, Proc. Roy. Soc. London Ser. A 187 (1946), 492–504. MR 19189, DOI https://doi.org/10.1098/rspa.1946.0091
- H. Görtler, Über eine dreidimensionale Instabilität laminarer Grenzschichten an konkaven Wänden, Nachr. Ges. Wiss. Göttingen. Fachgruppe I. N.F. 2 (1940), 1–26 (German). MR 3757
- D. Meksyn, Stability of viscous flow over concave cylindrical surfaces, Proc. Roy. Soc. London Ser. A 203 (1950), 253–265. MR 38774, DOI https://doi.org/10.1098/rspa.1950.0138
- S. Chandrasekhar, The stability of viscous flow between rotating cylinders in the presence of a magnetic field, Proc. Roy. Soc. London Ser. A 216 (1953), 293–309. MR 53709, DOI https://doi.org/10.1098/rspa.1953.0023
G. I. Taylor, On the stability of a viscous liquid contained between two rotating cylinders, Phil. Trans. A223, 289-343 (1923)
H. Jeffreys, Some cases of instability in fluid motion, Proc. Roy. Soc. A118, 195-208 (1928)
J. L. Synge, On the stability of a viscous liquid between rotating cylinders, Proc. Roy. Soc. A167, 250-256 (1938)
A. Pellew and R. V. Southwell, On maintained convective motion in a fluid heated from below, Proc. Roy. Soc. A176, 312-344 (1940)
D. Meksyn, Stability of viscous flow between rotating cylinders I, Proc. Roy. Soc. A187, 115-128 (1946)
D. Meksyn, Stability of viscous flow between rotating cylinders II, Proc. Roy. Soc. A187, 480-491 (1946)
D. Meksyn, Stability of viscous flow between rotating cylinders III, Proc. Roy. Soc. A187, 492-504 (1946)
H. Görtler, Uber eine dreidimensionale Instabilitat laminarer Grenzschichten an konkaven Wanden, Nachr. Ges. Wiss. Gottingen, 1-26 (1940)
D. Meksyn, Stability of viscous flow over concave cylindrical surfaces, Proc. Roy. Soc. A203, 253-265 (1950)
S. Chandrasekhar, The stability of viscous flow between rotating cylinders in the presence of a magnetic field, Proc. Roy. Soc. A216, 293-309 (1953)
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Article copyright:
© Copyright 1955
American Mathematical Society