An estimate for the Morse index of a Stokes wave

Details An estimate for the Morse index of a Stokes wave An estimate for the Morse index of a Stokes wave

2012-03-26

arxiv.org/abs/1203.5811v1

Mathematics

Analysis of PDEs

Scientific paper

Stokes waves are steady periodic water waves on the free surface of an infinitely deep irrotational two dimensional flow under gravity without surface tension. They can be described in terms of solutions of the Euler-Lagrange equation of a certain functional. This allows one to define the Morse index of a Stokes wave. It is well known that if the Morse indices of the elements of a set of non-singular Stokes waves are bounded, then none of them is close to a singular one. The paper presents a quantitative variant of this result.

Affiliated with

Also associated with

No associations

Rating

An estimate for the Morse index of a Stokes wave does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An estimate for the Morse index of a Stokes wave, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An estimate for the Morse index of a Stokes wave will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-637803