Local and Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity
Analysis of PDEs
2015-06-18 v1 Atmospheric and Oceanic Physics
Fluid Dynamics
Geophysics
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 initial data.
Keywords
Cite
@article{arxiv.1312.6035,
title = {Local and Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity},
author = {Chongsheng Cao and Jinkai Li and Edriss S. Titi},
journal= {arXiv preprint arXiv:1312.6035},
year = {2015}
}