Open AccessConstant vorticity water flows with full Coriolis term
Author(s) -
Calin Iulian Martin
Publication year - 2019
Publication title -
nonlinearity
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.571
H-Index - 90
eISSN - 1361-6544
pISSN - 0951-7715
DOI - 10.1088/1361-6544/ab1c76
Subject(s) - vorticity , vorticity equation , mathematics , constant (computer programming) , potential vorticity , term (time) , turbulence , mathematical analysis , nonlinear system , flow (mathematics) , curse of dimensionality , vortex , classical mechanics , mechanics , physics , geometry , quantum mechanics , computer science , programming language , statistics
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.