Constant vorticity water flows with full Coriolis term

We consider here three-dimensional water flows governed by the geophysical water wave equations exhibiting full Coriolis term. More precisely, under mild assumptions we determine all possible flow solutions to the governing equations that exhibit constant vorticity vector. That is, we show that the...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinearity 2019-07, Vol.32 (7), p.2327-2336
Main Author: Iulian Martin, Calin
Format: Article
Language:English
Subjects:
full Coriolis term
three-dimensional water flows
vorticity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider here three-dimensional water flows governed by the geophysical water wave equations exhibiting full Coriolis term. More precisely, under mild assumptions we determine all possible flow solutions to the governing equations that exhibit constant vorticity vector. That is, we show that the vertical component of the velocity vanishes, the horizontal components are constant and the free surface is necessarily flat. Our investigation features three-dimensionality, nonlinearity, Coriolis effects and vorticity, the last aspect being one of relevance in relation to the issue of turbulence.
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ab1c76