Abstract
We present a computer-assisted proof of the global uniqueness of Stokes' wave of extreme form. Stokes' wave of extreme form is a water wave which forms a corner of 120 degrees at the crest and is considered to be the limit of the positive solution of Nekrasov's equation which expresses periodic gravity waves of permanent form on the free surface. The numerical verification method plays an important role in the proof. As for the global uniqueness of Stokes' wave of extreme form, it is not only a longtime open problem but also is related to an important conjecture which is called Stokes' conjecture.
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 callDisclaimer: 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.
