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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A global theory of steady vortex rings in an ideal fluid
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by L. E. Fraenkel and M. S. Berger PDF
Bull. Amer. Math. Soc. 79 (1973), 806-810
References
    1. H. von Helmholtz, Über Integrale der hydrodynamischen Gleichungen, welche den Wirbelwegungen entsprechen, Crelle’s Journal 55 (1858), 25-55. 2. M. J. M. Hill, On a spherical vortex, Phil. Trans. Roy. Soc. London A185 (1894), 213-245.
  • Leon Lichtenstein, Über einige Existenzprobleme der Hydrodynamik homogener, unzusammendrückbarer, reibungsloser Flüssigkeiten und die Helmholtzschen Wirbelsätze, Math. Z. 23 (1925), no. 1, 89–154 (German). MR 1544733, DOI 10.1007/BF01506223
    • 4. K. Maruhn, Über die Existenz stationärer Bewegungen von Wirbelringen, Proc. Ninth International Congress Appl. Mech., University of Brussels 1 (1957), 173-176. 5. L. E. Fraenkel, On steady vortex rings of small cross-section in an ideal fluid, Proc. Roy. Soc. London A316 (1970), 29-62.
  • J. Norbury, A steady vortex ring close to Hill’s spherical vortex, Proc. Cambridge Philos. Soc. 72 (1972), 253–284. MR 302044, DOI 10.1017/s0305004100047083
  • M. M. Vainberg, Variational methods for the study of nonlinear operators, Holden-Day, Inc., San Francisco, Calif.-London-Amsterdam, 1964. With a chapter on Newton’s method by L. V. Kantorovich and G. P. Akilov. Translated and supplemented by Amiel Feinstein. MR 0176364
    • 8. M. S. Berger, Lectures on nonlinear problems of mathematical analysis (to appear).
  • G. Pólya and G. Szegö, Isoperimetric Inequalities in Mathematical Physics, Annals of Mathematics Studies, No. 27, Princeton University Press, Princeton, N. J., 1951. MR 0043486, DOI 10.1515/9781400882663
  • Walter Littman, Generalized subharmonic functions: Monotonic approximations and an improved maximum principle, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 17 (1963), 207–222. MR 177186
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 79 (1973), 806-810
  • MSC (1970): Primary 35J60, 76C05
  • DOI: https://doi.org/10.1090/S0002-9904-1973-13328-2
  • MathSciNet review: 0320555