University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Stokes waves are unstable

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Stokes waves are unstable

Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

HY2W06 - Women in dispersive equations day

I will discuss a new periodic Evans function approach for cylindrical domains, and its application to the spectral instability of Stokes waves in the finite depth. Numerical evidence suggests instability whenever the unperturbed wave is ‘resonant’ with its infinitesimal perturbation waves. This has not been studied analytically except the Benjamin-Feir instability, near the origin of the spectral plane, when (wave number)x(depth)>1.3627… for small amplitude. I will discuss an alternative proof of the Benjamin-Feir instability and, also, the first proof of spectral instability away from the origin, when (wave number)x(depth) is not 1.8494…, thereby all Stokes waves are unstable. Joint work with Z. Yang.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Cambridge University Engineering Department, LT2 BMS Lecture Theatre, School of Chemistry, Lensfield Road 5StarEssays, USA

Other talks

Royal Papworth Hospital and Acute Medicine Group Presentation 1 Coexisting with carnivores? The lynx and wolf reintroduction debate Morning Tea and Coffee Tissue-scale communication in cancer development Discussion I
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity