Global existence and asymptotic stability of the free boundary problem of the primitive equations with heat insulation (Q6166346)

scientific article; zbMATH DE number 7721622

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English	Global existence and asymptotic stability of the free boundary problem of the primitive equations with heat insulation	scientific article; zbMATH DE number 7721622

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instance of

scholarly article

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title

Global existence and asymptotic stability of the free boundary problem of the primitive equations with heat insulation (English)

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published in

Journal of Differential Equations

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publication date

2 August 2023

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zbMATH Keywords

primitive equations

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free boundary problem

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global well-posedness

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large time behavior

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jde.2023.06.042

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cites work

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

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The initial value problem for the navier-stokes equations with a free surface

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

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On the Two-Dimensional Hydrostatic Navier--Stokes 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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Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations*

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Anisotropic estimates and strong solutions of the primitive equations.

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Infinite-Dimensional Dynamical Systems in Atmospheric and Oceanic Science

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3D stochastic primitive equations of the large-scale ocean: Global well-posedness and attractors

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Existence of the universal attractor for the 3-D viscous primitive equations of large-scale moist atmosphere

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Diffusion limit of 3D primitive equations of the large-scale ocean under fast oscillating random force

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Local well-posedness of the viscous surface wave problem without surface tension

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Q3171645

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Small-time existence of a strong solution of primitive equations for the ocean

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Local existence of solutions to the free boundary value problem for the primitive equations of the ocean

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Local existence and uniqueness of strong solutions to the two dimensional nonhomogeneous incompressible primitive equations

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Primitive equations with continuous initial data

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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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Q5576913

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

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

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

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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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Q4305710

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

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Q4798343

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Q3199050

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On the uniqueness of \(z\)-weak solutions of the three-dimensional primitive equations of the ocean

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Q3684480

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Q3593812

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Global well-posedness of strong solutions to the 2D nonhomogeneous incompressible primitive equations with vacuum

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Blowup of solutions of the hydrostatic Euler equations

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Identifiers

zbMATH Open document ID

1519.35335

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DOI

10.1016/j.jde.2023.06.042

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6166346