Stokes waves with vorticity

Details Stokes waves with vorticity Stokes waves with vorticity

2009-11-30

arxiv.org/abs/0911.5542v3

Mathematics

Analysis of PDEs

Scientific paper

The existence of periodic waves propagating downstream on the surface of a two-dimensional infinitely deep water under gravity is established for a general class of vorticities. When reformulated as an elliptic boundary value problem in a fixed semi-infinite strip with a parameter, the operator describing the problem is nonlinear and non-Fredholm. A global connected set of nontrivial solutions is obtained via singular theory of bifurcation. Each solution on the continuum has a symmetric and monotone wave profile. The proof uses a generalized degree theory, global bifurcation theory and Wyburn's lemma in topology, combined with the Schauder theory for elliptic problems and the maximum principle.

Affiliated with

Also associated with

No associations

Rating

Stokes waves with vorticity 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 Stokes waves with vorticity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stokes waves with vorticity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-148665