Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Solitary waves in Poiseuille flow of a rotating fluid


Author: Chia-Shun Yih
Journal: Quart. Appl. Math. 52 (1994), 739-752
MSC: Primary 76U05; Secondary 76B25
DOI: https://doi.org/10.1090/qam/1306047
MathSciNet review: MR1306047
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Abstract: Solutions are obtained for various modes of solitary waves in a strongly rotating fluid in Poiseuille flow. The nonlinear Bragg-Hawthorne equation is the basis of the theory, and the method of solution can be carried to any order of approximation. There are two sequences of modes, each infinite in number. One consists of modes travelling with the flow, called P modes, and the other consists of modes travelling against it, called N modes. Generally, the displacements of streamlines from their asymptotic positions are in opposite directions for two corresponding modes of the two sequences. In particular, the streamlines of the first mode travelling with the flow are displaced radially outward from their asymptotic positions, and those of the first mode travelling against the flow are displaced radially inward. In other words, the first P mode is a bulging wave, whereas the first N mode is a pinching or necking one.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/1306047
Article copyright: © Copyright 1994 American Mathematical Society


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