Abstract
The bifurcation of steady waves from (irrotational) inviscid streamflows is considered. The flux Q is scaled to unity to leave two quantities R (pressure head) and S (flowforce) parametrizinig the wavetrain. In a well-known paper, Bcnjamin and Lighthill (Proc. R. Soc. A 224 (1954) 448-460) presented calculations within a novel version of cnoidal wave theory which suggested that the coordinate pairs of R and S lie inside the cusped locus traced by the sub- and supercritical streamflows, and conjectured that this was the case for all irrotational water waves. Recently, the author described explicitly how wave branches, representing (Stokes') periodic waves bifurcating from the streamflow branch, point locally inside the streamflow cusp in the (R, S) diagram. In addition, accurate numerics showed how these constant-period branches extend globally towards the wave of greatest height.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: The Quarterly Journal of Mechanics and Applied Mathematics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
