Resonant generation of finite‐amplitude waves by the uniform flow of a uniformly rotating fluid past an obstacle
作者:
R. Grimshaw,
Z. Yi,
期刊:
Mathematika
(WILEY Available online 1993)
卷期:
Volume 40,
issue 1
页码: 30-50
ISSN:0025-5793
年代: 1993
DOI:10.1112/S002557930001370X
出版商: London Mathematical Society
数据来源: WILEY
摘要:
AbstractIn a previous paper (Grimshaw, 1990a) we showed that the resonant, or critical, flow of a rotating fluid past an axisymmetric obstacle placed on the axis of a cylindrical tube is described by a forced Korteweg‐de Vries equation for the amplitude of the dominant resonant mode. Here we show that in the anomalous but important case when the oncoming flow is uniform with uniform angular velocity a different theory is required which leads to an evolution equation describing finite‐amplitude waves. Some numerical solutions of this equation are described.
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