Special Session 125: 

The role of rotation in the Primitive Equations: the barotropic mode.

Makram Hamouda
Imam Abdulrahman Bin Faisal university
Saudi Arabia
Co-Author(s):    Daozhi Han, Chang-Yeol Jung and Roger Temam
Abstract:
It has been shown that the rotation plays an important role in the study of the Navier-Stokes Equations (NSE); see e.g. the works of Y. Giga et al. Derived from the full NSE, the Primitive Equations seem not to counter this affirmation although the differences arising in the two sets of equations. In this talk, we investigate the influence of the rotating term in the behavior of a fluid near the boundary. Such a phenomenon is called the boundary layer of which the study is of great importance both numerically and theoretically. That`s what we intend to do for one mode in the Primitive Equations, namely the Barotropic mode.