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Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity

  • Author(s): Cao, C;
  • Li, J;
  • Titi, ES
  • et al.
Abstract

In this paper, we consider the initial-boundary value problem of the viscous 3D primitive equations for oceanic and atmospheric dynamics with only vertical diffusion in the temperature equation. Local and global well-posedness of strong solutions are established for this system with H 2 initial data. © 2014 Springer-Verlag Berlin Heidelberg.

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