Global existence for the primitive equations with small anisotropic viscosity
Rev. Mat. Iberoamericana, Tome 27 (2011) no. 1, p. 1-38 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this paper, we consider the primitive equations with zero vertical viscosity, zero vertical thermal diffusivity, and the horizontal viscosity and horizontal thermal diffusivity of size $\varepsilon^\alpha$ where $0 < \alpha < \alpha_0$. We prove the global existence of a unique strong solution for large data provided that the Rossby number is small enough (the rotation and the vertical stratification are large).
Publié le : 2011-01-15
Classification:  primitive equations,  quasi-geostrophic system,  anisotropy,  dispersion,  Strichartz estimates,  35Q35,  35S30,  76D05,  76U05 
@article{1296828828,
     author = {Charve
, 
Fr\'ed\'eric and Ngo
, 
Van-Sang},
     title = {Global existence for the primitive equations with small anisotropic viscosity},
     journal = {Rev. Mat. Iberoamericana},
     volume = {27},
     number = {1},
     year = {2011},
     pages = { 1-38},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1296828828}
}

Charve
, 
Frédéric; Ngo
, 
Van-Sang. Global existence for the primitive equations with small anisotropic viscosity. Rev. Mat. Iberoamericana, Tome 27 (2011) no. 1, pp.  1-38. http://gdmltest.u-ga.fr/item/1296828828/