In this paper, we derive a two-component system of nonlinear equations which models 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 criterion for global existence.
CITATION STYLE
Escher, J., Henry, D., Kolev, B., & Lyons, T. (2016). Two-component equations modelling water waves with constant vorticity. Annali Di Matematica Pura Ed Applicata, 195(1), 249–271. https://doi.org/10.1007/s10231-014-0461-z
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