Shallow water waves on shear flows-Reference-Cited by-同舟云学术

Shallow water waves on shear flows

Published:1970-06-22 Issue:2 Volume:42 Page:401-409
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Freeman N. C.,Johnson R. S.

Abstract

An equation for waves on the surface of a flow with shear is deduced and shown to reduce by suitable scaling to the classical equation of Korteweg & de Vries, which describes such motions on a stationary flow. For steady flows the corresponding theory of cnoidal waves is obtained and the results of Benjamin (1962) for a solitary wave recovered.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference6 articles.

1. Burns, J. C. 1953 Proc. Camb. Phil. Soc. 49,695–706.

2. Benjamin, T. B. 1962 J. Fluid Mech. 12,97–116.

3. Cole, J. D. 1968 Perturbation Methods in Applied Mathematics .Waltham, Mass.:Blaisdell.

4. Korteweg, D. J. & de Vries, G. 1895 Phil. Mag. (5)39,422–443.

5. Lamb, H. 1953 Hydrodynamics (6th ed.) Cambridge University Press.

Cited by 80 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Propagation characteristics of tsunami waves in shear flow based on the Boussinesq model with constant vorticity;Ocean Engineering;2023-10

2. The effect of linear shear current on head-on collision of solitons;Physics of Fluids;2023-06-01

3. Solitary waves on flows with an exponentially sheared current and stagnation points;The Quarterly Journal of Mechanics and Applied Mathematics;2023-01-09

4. Effects of vorticity on solitary waves;Scientific Reports;2022-11-02

5. A simple model analysis of a space exploration rover’s mobility against variance of gravity and movement speed;Artificial Life and Robotics;2022-03-25