| Abstract: |
| In this talk I will present two recent results on time-dependent, three-dimensional water flows with constant non-vanishing vorticity. In the first part, I will discuss a rigidity result for flows with continuously depth dependent density. In the second part, I will consider the f-plane approximation for off-equatorial oceanic flows and show that these flows are necessarily steady, zonal and fully explicit, with a free surface structure that is parabolic in the latitudinal coordinate. I will also provide an application to the Antarctic Circumpolar Current (ACC) for which I compare the sea surface height predicted by our constant vorticity model with satellite altimetry measurements available in the literature. |
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