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

作者：Martin Calin Iulian^*

来源：Nonlinear Analysis: Real World Applications , 2015, 21: 27-33.

DOI：10.1016/j.nonrwa.2014.06.003

• General vorticity
• Equatorial gravity waves
• Regularity of solutions

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.

• 出版日期2015-2