The primitive equations approximation of the anisotropic horizontally viscous $3D$ Navier-Stokes equations (Q2664928)

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English	The primitive equations approximation of the anisotropic horizontally viscous $3D$ Navier-Stokes equations	scientific article

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title

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

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Journal of Differential Equations

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publication date

18 November 2021

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full work available at URL

https://arxiv.org/abs/2106.00201

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zbMATH Keywords

primitive equations justification

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hydrostatic approximation

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anisotropic Navier-Stokes equations

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small aspect ratio limit

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singular limit

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MaRDI profile type

MaRDI publication profile

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cites work

Mathematical Justification of the Hydrostatic Approximation in the Primitive Equations of Geophysical Fluid Dynamics

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A Vertical Diffusion Model for Lakes

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Strong solutions to the 3D primitive equations with only horizontal dissipation: near $H^{1}$ initial data

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Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion

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Global well-posedness of the $3D$ primitive equations with partial vertical turbulence mixing heat diffusion

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Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity

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Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity

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Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity

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Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics

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Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model

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Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics

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Q4040820

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The equations of the atmosphere with humidity and saturation: uniqueness and physical bounds

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Imbedding theorems for spaces of functions with partial derivatives that are summable in various powers

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Global well-posedness for the 3D primitive equations in anisotropic framework

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Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations*

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The hydrostatic approximation for the primitive equations by the scaled Navier-Stokes equations under the no-slip boundary condition

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On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations-rigorous justification

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Q3446498

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On the effect of rotation on the life-span of analytic solutions to the $3D$ Inviscid primitive equations

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The primitive equations in the scaling-invariant space $L^{\infty}(L^1)$

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The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions

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On the 3D viscous primitive equations of the large-scale atmosphere

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Existence of weak solutions and trajectory attractors for the moist atmospheric equations in geophysics

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Global strong well-posedness of the three dimensional primitive equations in ${L^p}$-spaces

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Global strong $L^{p}$ well-posedness of the 3D primitive equations with heat and salinity diffusion

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Global well-posedness for passively transported nonlinear moisture dynamics with phase changes

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Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes

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Primitive equations with horizontal viscosity: the initial value and the time-periodic problem for physical boundary conditions

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Finite-time blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation

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Uniqueness of the global weak solutions to 2D compressible primitive equations

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On $H^2$ solutions and $z$-weak solutions of the 3D Primitive Equations

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Existence of a solution `in the large' for the 3D large-scale ocean dynamics equations

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On the regularity of the primitive equations of the ocean

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Primitive equations with continuous initial data

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Q2825496

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The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation

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Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data

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Existence of a strong solution and trajectory attractor for a climate dynamics model with topography effects

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New formulations of the primitive equations of atmosphere and applications

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On the equations of the large-scale ocean

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Local well-posedness of strong solutions to the three-dimensional compressible primitive equations

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Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities

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Global existence of weak solutions to 3D compressible primitive equations with degenerate viscosity

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Blowup of solutions of the hydrostatic Euler equations

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Identifiers

zbMATH Open document ID

1477.35126

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DOI

10.1016/j.jde.2021.10.048

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2664928

The primitive equations approximation of the anisotropic horizontally viscous \(3D\) Navier-Stokes equations (Q2664928)

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Mathematics(1 entry)