On the quasi-hydrostatic quasi-geostrophic model
Lucas, Carine ; Mcwilliams, James C. ; Rousseau, Antoine
HAL, inria-00564819 / Harvested from HAL
Text on HAL
This paper introduces a rigorous derivation of the quasi-hydrostatic quasi-geostrophic (QHQG) equations of large scale ocean as the Rossby number goes to zero. We follow classical techniques for the derivation of the quasi-geostrophic (QG) equations (as in [BB94]), but the primitive equations that we consider account for the nontraditional rotating terms, as in [LPR10]. We end up with a slightly different QG model with a tilted vertical direction, which has been illustrated in previous works using the primitive equations (see [PMHA97, She04, WB06, GZMvH08, SKR02]), and for which we prove local and global existence results.
Publié le : 2017-07-04
Classification:  traditional approximation,  quasi-geostrophic limit,  multiscale analysis,  ocean gloal circulation models,  Coriolis force,  [PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn],  [PHYS.PHYS.PHYS-AO-PH]Physics [physics]/Physics [physics]/Atmospheric and Oceanic Physics [physics.ao-ph],  [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{inria-00564819,
     author = {Lucas, Carine and Mcwilliams, James C. and Rousseau, Antoine},
     title = {On the quasi-hydrostatic quasi-geostrophic model},
     journal = {HAL},
     volume = {2017},
     number = {0},
     year = {2017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/inria-00564819}
}

Lucas, Carine; Mcwilliams, James C.; Rousseau, Antoine. On the quasi-hydrostatic quasi-geostrophic model. HAL, Tome 2017 (2017) no. 0, . http://gdmltest.u-ga.fr/item/inria-00564819/