Analyticity of the streamlines and of the free surface for periodic equatorial gravity water flows with vorticity

摘要

We prove analyticity of the streamlines beneath the surface and the smoothness of the free surface for geophysical equatorial water flows with a general Holder continuously differentiable underlying vorticity distribution under the assumption of no stagnation points in the flow. Moreover, we prove that the real-analyticity of the vorticity function implies the real-analyticity of the free surface. (C) 2014 Elsevier Ltd. All rights reserved.