Two-component equations modelling water waves with constant vorticity
作者： Joachim Escher , David Henry , Boris Kolev , Tony Lyons
DOI: 10.1007/S10231-014-0461-Z
关键词: Manifold (fluid mechanics) 、 Geodesic flow 、 Constant (mathematics) 、 Euler equations 、 Vorticity 、 Mathematical analysis 、 Nonlinear system 、 Physics 、 Waves and shallow water 、 Component (thermodynamics)
摘要: 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.
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