@article{087268b656ee49e78432f89593c89b01,
title = "Two-component equations modelling water waves with constant vorticity",
abstract = "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.",
keywords = "Diffeomorphism group, Euler equation, Model equations, Vorticity, Water waves",
author = "Joachim Escher and David Henry and Boris Kolev and Tony Lyons",
note = "Funding Information: D. Henry, B. Kolev and T. Lyons were supported by the Irish Research Council???Campus France PHC {"}Ulysses{"} programme. All the authors would like to thank Rossen Ivanov for his stimulating discussions, and Cathy and Michel for their kind hospitality at Les Grandes Moli??res during the preparation of this work. The authors would like to thank the anonymous referee for helpful suggestions and comments. Publisher Copyright: {\textcopyright} 2014, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg.",
year = "2016",
month = feb,
day = "1",
doi = "10.1007/s10231-014-0461-z",
language = "English",
volume = "195",
pages = "249--271",
journal = "Annali di Matematica Pura ed Applicata",
issn = "0373-3114",
publisher = "Springer",
number = "1",
}