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Nonlinear waves on a rotating viscous fluid with a cylindrical free surface

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Summary

An asymptotic theory is developed for the study of nonlinear wave motion of a rotating viscous fluid with a cylindrical free surface. The method used here is based upon a multiple-parameter singular perturbation scheme within the framework of long-wave approximation. Wave speed and a set of asymptotic evolution equations are derived, and a criterion for the instability of the wave motion is defined.

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Authors and Affiliations

  1. Department of Mathematics and Mathematics Research Center, U. S. Army, The University of Wisconsin, Madison, Wisconsin, USA

    M. C. Shen

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  1. M. C. Shen
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Shen, M.C. Nonlinear waves on a rotating viscous fluid with a cylindrical free surface. J Eng Math 5, 63–70 (1971). https://doi.org/10.1007/BF01535435

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  • DOI: https://doi.org/10.1007/BF01535435

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