# Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics

@article{Cao2005GlobalWO, title={Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics}, author={Chongsheng Cao and Edriss S. Titi}, journal={Annals of Mathematics}, year={2005}, volume={166}, pages={245-267} }

In this paper we prove the global existence and uniqueness (regularity) of strong solutions to the three-dimensional viscous primitive equations, which model large scale ocean and atmosphere dynamics. 1. Introduction Large scale dynamics of oceans and atmosphere is governed by the primitive equations which are derived from the Navier-Stokes equations, with rotation, coupled to thermodynamics and salinity diffusion-transport equations, which account for the buoyancy forces and stratification…

## 177 Citations

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