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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.

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Steady water waves
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by Walter A. Strauss PDF
Bull. Amer. Math. Soc. 47 (2010), 671-694 Request permission

Erratum: Bull. Amer. Math. Soc. 48 (2011), 153-153.

Abstract:

We present a survey of certain aspects of the theory of steady water waves with emphasis on the role played by vorticity. Historical background, numerical illustrations, and brief discussions of the time-dependent problem and of approximate models are included as well.
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Additional Information
  • Walter A. Strauss
  • Affiliation: Department of Mathematics and Lefschetz Center for Dynamical Systems, Brown University, Providence, Rhode Island
  • Email: wstrauss@math.brown.edu
  • Received by editor(s): August 19, 2009
  • Published electronically: July 20, 2010
  • Additional Notes: I would like to thank my colleagues, Adrian Constantin, Joy Ko, and Samuel Walsh for their help with this paper, as well as the anonymous referees.
    The work of this author was supported in part by NSF Grant DMS-0405066.
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Bull. Amer. Math. Soc. 47 (2010), 671-694
  • MSC (2010): Primary 76B15, 35Q31, 35R35
  • DOI: https://doi.org/10.1090/S0273-0979-2010-01302-1
  • MathSciNet review: 2721042