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
• Journal of Differential Equations
6 Citations
The hydrostatic approximation of the Boussinesq equations with rotation in a thin domain
• Mathematics
• 2022
Abstract. In this paper, we improve the global existence result in [9] slightly. More precisely, the global existence of strong solutions to the primitive equations with only horizontal viscosity and
On the rigorous mathematical derivation for the viscous primitive equations with density stratification
• Mathematics
• 2022
In this paper, we rigorously derive the governed equations describing the motion of stable stratiﬁed ﬂuid, from the mathematical point of view. Specially, we prove that the scaled Boussinesq
Rigorous derivation of the full primitive equations by scaled Boussinesq equations
• Mathematics
• 2021
The primitive equations of large-scale ocean dynamics form the fundamental model in geophysical flows. It is well-known that the primitive equations can be formally derived by hydrostatic
On the effect of fast rotation and vertical viscosity on the lifespan of the $3D$ primitive equations
• Mathematics
• 2022
We study the effect of the fast rotation and vertical viscosity on the lifespan of solutions to the three-dimensional primitive equations (also known as the hydrostatic Navier-Stokes equations) with
Global well-posedness of z-weak solutions to the primitive equations without vertical diffusivity
• Mathematics
Journal of Mathematical Physics
• 2022
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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