Global well-posedness of <i>z</i>-weak solutions to the primitive equations without vertical diffusivity (Q5056855)

scientific article; zbMATH DE number 7629957

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English	Global well-posedness of <i>z</i>-weak solutions to the primitive equations without vertical diffusivity	scientific article; zbMATH DE number 7629957

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instance of

scholarly article

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title

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

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Journal of Mathematical Physics

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publication date

8 December 2022

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full work available at URL

https://arxiv.org/abs/2107.07688

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MaRDI profile type

MaRDI publication profile

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

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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

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

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

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Primitive equations with continuous initial data

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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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Anisotropic estimates and strong solutions of the primitive equations.

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On the Two-Dimensional Hydrostatic Navier--Stokes Equations

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

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On $H^2$ solutions and $z$-weak solutions of the 3D Primitive 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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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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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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The equations of the atmosphere with humidity and saturation: uniqueness and physical bounds

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

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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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Q3446498

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

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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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Zero Mach number limit of the compressible primitive equations: well-prepared initial data

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

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

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

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

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Blowup of solutions of the hydrostatic Euler equations

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

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Compact sets in the space $L^ p(0,T;B)$

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Q3861771

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Regularity results for Stokes type systems related to climatology

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Identifiers

DOI

10.1063/5.0065114

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5056855