Elliptic and hyperelliptic functions describing the particle motion beneath small-amplitude water waves with constant vorticity

Details Elliptic and hyperelliptic functions describing the particle motion beneath small-amplitude water waves with constant vorticity Elliptic and hyperelliptic functions describing the particle motion beneath small-amplitude water waves with constant vorticity

2011-06-20

arxiv.org/abs/1106.3824v2

Physics

Mathematical Physics

Discrete and Continuous Dynamical Systems - Series B 2011

Scientific paper

We provide analytic solutions of the nonlinear differential equation system describing the particle paths below small-amplitude periodic gravity waves travelling on a constant vorticity current. We show that these paths are not closed curves. Some solutions can be expressed in terms of Jacobi elliptic functions, others in terms of hyperelliptic functions. We obtain new kinds of particle paths. We make some remarks on the stagnation points which could appear in the fluid due to the vorticity.

Affiliated with

Also associated with

No associations

Rating

Elliptic and hyperelliptic functions describing the particle motion beneath small-amplitude water waves with constant 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 Elliptic and hyperelliptic functions describing the particle motion beneath small-amplitude water waves with constant vorticity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Elliptic and hyperelliptic functions describing the particle motion beneath small-amplitude water waves with constant vorticity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254772