Two-component equations modelling water waves with constant vorticity
Mathematical Physics
2019-01-03 v2 math.MP
Abstract
In this paper we derive a two-component system of nonlinear equations which model two-dimensional shallow water waves with constant vorticity. Then we prove well-posedness of this equation using a geometrical framework which allows us to recast this equation as a geodesic flow on an infinite dimensional manifold. Finally, we provide a criteria for global existence.
Cite
@article{arxiv.1406.1645,
title = {Two-component equations modelling water waves with constant vorticity},
author = {Joachim Escher and David Henry and Boris Kolev and Tony Lyons},
journal= {arXiv preprint arXiv:1406.1645},
year = {2019}
}
Comments
24 pages