On the rigorous mathematical derivation for the viscous primitive equations with density stratification (Q6159422)

scientific article; zbMATH DE number 7682810

Language	Label	Description	Also known as
English	On the rigorous mathematical derivation for the viscous primitive equations with density stratification	scientific article; zbMATH DE number 7682810

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instance of

scholarly article

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title

On the rigorous mathematical derivation for the viscous primitive equations with density stratification (English)

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Acta Mathematica Scientia. Series B. (English Edition)

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publication date

5 May 2023

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full work available at URL

https://arxiv.org/abs/2203.10529

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zbMATH Keywords

Boussinesq equations

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primitive equations

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density stratification

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hydrostatic approximation

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strong convergence

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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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Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking

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On the uniqueness of weak solutions of the two-dimensional primitive equations.

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

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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 Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion

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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 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 of the $3D$ primitive equations with partial vertical turbulence mixing heat diffusion

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

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

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Ill-posedness of the hydrostatic Euler and singular Vlasov equations

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

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

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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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Primitive equations with continuous initial data

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The regularity of solutions of the primitive equations of the ocean in space dimension three

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On the regularity of the primitive equations of the ocean

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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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Mathematical theory for the coupled atmosphere-ocean models (CAO III)

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

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Global well-posedness of <i>z</i>-weak solutions to the primitive equations without vertical diffusivity

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Q4798343

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Q3199050

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Rigorous derivation of the full primitive equations by the scaled Boussinesq equations with rotation

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Ill-posedness of the hydrostatic Euler and Navier-Stokes equations

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The Three-Dimensional Navier–Stokes Equations

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On the uniqueness of $z$-weak solutions of the three-dimensional primitive equations of the ocean

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Q4163866

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Q3802760

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Blowup of solutions of the hydrostatic Euler equations

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Identifiers

zbMATH Open document ID

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10.1007/s10473-023-0306-1

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6159422