# 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} }

## 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

- Mathematics
- 2022

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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© 2015 Wiley Periodicals, Inc. In this paper, we consider the initial boundary value problem of the three-dimen-sional primitive equations for planetary oceanic and atmospheric dynamics with only…

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In this paper we justify the hydrostatic approximation of the primitive equations in the maximal $L^p$-$L^q$-setting in the three-dimensional layer domain $\Omega = \Torus^2 \times (-1, 1)$ under the…

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In this paper, we consider the initial-boundary value problem of the three-dimensional primitive equations for oceanic and atmospheric dynamics with only horizontal viscosity and horizontal…