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

  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},
  • C. CaoE. Titi
  • Published 2 March 2005
  • Mathematics, Environmental Science
  • Annals of Mathematics
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… 

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