Two-component equations modelling water waves with constant vorticity
Two-component equations modelling water waves with constant vorticity
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DOI：
10.1007/s10231-014-0461-z
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发表时间：
2014-06
期刊：
影响因子：
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通讯作者：
J. Escher;D. Henry;B. Kolev;Tony Lyons
中科院分区：
文献类型：
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作者：
J. Escher;D. Henry;B. Kolev;Tony Lyons
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.
