# The primitive equations approximation of the anisotropic horizontally viscous 3D Navier-Stokes equations

@article{Li2022ThePE,
title={The primitive equations approximation of the anisotropic horizontally viscous 3D Navier-Stokes equations},
author={Jinkai Li and Edriss S. Titi and Guo Yuan},
journal={Journal of Differential Equations},
year={2022}
}
• Published 1 June 2021
• Mathematics, Physics
• Journal of Differential Equations
2 Citations
Global well-posedness of $z$-weak solutions to the primitive equations without vertical diffusivity
• Mathematics, Physics
• 2021
In this paper, we consider the initial boundary value problem in a cylindrical domain to the three dimensional primitive equations with full eddy viscosity in the momentum equations but with only
Local Martingale Solutions and Pathwise Uniqueness for the Three-dimensional Stochastic Inviscid Primitive Equations
We study the stochastic effect on the three-dimensional inviscid primitive equations (PEs, also called the hydrostatic Euler equations). Specifically, we consider a larger class of noises than

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