On the stability of the spherical shape of a vapor cavity in a liquid
Authors:
M. S. Plesset and T. P. Mitchell
Journal:
Quart. Appl. Math. 13 (1956), 419-430
MSC:
Primary 76.0X
DOI:
https://doi.org/10.1090/qam/79931
MathSciNet review:
79931
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Additional Information
G. I. Taylor, Proc. Roy. Soc. (A)201, 192 (1950)
D. J. Lewis, Proc. Roy. Soc. (A)202, 81 (1950). See also R. E. Duff and H. T. Knight, Abstract S12, Bull. Am. Phys. Soc. 29, No. 1, Jan. 1954 (New York meeting)
- M. S. Plesset, On the stability of fluid flows with spherical symmetry, J. Appl. Phys. 25 (1954), 96–98. MR 59692
W. G. Penney and A. T. Price, unpublished results, described briefly in R. H. Cole, Underwater explosions (Princeton University Press, 1948), p. 308
- Garrett Birkhoff, The algebra of multivariate interpolation, Constructive approaches to mathematical models (Proc. Conf. in honor of R. J. Duffin, Pittsburgh, Pa., 1978) Academic Press, New York-London-Toronto, Ont., 1979, pp. 345–363. MR 559505
Erdelyi, et al., Higher transcendental functions, vol. 1, pp. 105-6, McGraw-Hill, 1953
- M. S. Plesset and S. A. Zwick, The growth of vapor bubbles in superheated liquids, J. Appl. Phys. 25 (1954), 493–500. MR 113596
- S. A. Zwick and M. S. Plesset, On the dynamics of small vapor bubbles in liquids, J. Math. and Phys. 33 (1955), 308–330. MR 68382, DOI https://doi.org/10.1002/sapm1954331308
G. I. Taylor, Proc. Roy. Soc. (A)201, 192 (1950)
D. J. Lewis, Proc. Roy. Soc. (A)202, 81 (1950). See also R. E. Duff and H. T. Knight, Abstract S12, Bull. Am. Phys. Soc. 29, No. 1, Jan. 1954 (New York meeting)
M. S. Plesset, J. Appl. Phys. 25, 96 (1954)
W. G. Penney and A. T. Price, unpublished results, described briefly in R. H. Cole, Underwater explosions (Princeton University Press, 1948), p. 308
G. Birkhoff, in press. The authors are indebted to Professor Birkhoff for the opportunity of seeing his manuscript in advance of publication
Erdelyi, et al., Higher transcendental functions, vol. 1, pp. 105-6, McGraw-Hill, 1953
M. S. Plesset and S. A. Zwick, J. Appl. Phys. 25, 493 (1954)
S. A. Zwick and M. S. Plesset, J. of Math. and Phys. 33, 308 (1955)
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Article copyright:
© Copyright 1956
American Mathematical Society
