The primitive equations approximation of the anisotropic horizontally viscous \(3D\) Navier-Stokes equations

DOI10.1016/j.jde.2021.10.048zbMath1477.35126arXiv2106.00201OpenAlexW3214417133MaRDI QIDQ2664928

Edriss S. Titi, Guozhi Yuan, Jinkai Li

Publication date: 18 November 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.00201

zbMATH Keywords

singular limithydrostatic approximationanisotropic Navier-Stokes equationssmall aspect ratio limitprimitive equations justification

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) Navier-Stokes equations (35Q30) Meteorology and atmospheric physics (86A10) PDEs in connection with geophysics (35Q86)

Related Items (10)

Global well-posedness of z-weak solutions to the primitive equations without vertical diffusivity ⋮ On the effect of fast rotation and vertical viscosity on the lifespan of the \(3D\) Primitive equations ⋮ Martingale Solutions of the Stochastic 2D Primitive Equations with Anisotropic Viscosity ⋮ Local martingale solutions and pathwise uniqueness for the three-dimensional stochastic inviscid primitive equations ⋮ Higher-order error estimates for physics-informed neural networks approximating the primitive equations ⋮ Global well-posedness for the 3-D incompressible anisotropic rotating Navier-Stokes equations ⋮ On the rigorous mathematical derivation for the viscous primitive equations with density stratification ⋮ Global well-posedness of strong solutions to the primitive equations without vertical diffusivity ⋮ Rigorous derivation of the full primitive equations by the scaled Boussinesq equations with rotation ⋮ The strong solutions to the primitive equations coupled with multi-phase moisture atmosphere

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