The hydrostatic approximation of the Boussinesq equations with rotation in a thin domain (Q6650549)

scientific article; zbMATH DE number 7955750

Language	Label	Description	Also known as
English	The hydrostatic approximation of the Boussinesq equations with rotation in a thin domain	scientific article; zbMATH DE number 7955750

Statements

instance of

scholarly article

0 references

title

The hydrostatic approximation of the Boussinesq equations with rotation in a thin domain (English)

0 references

0 references

0 references

Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

0 references

publication date

9 December 2024

0 references

zbMATH Keywords

Boussinesq equations with rotation

0 references

primitive equations

0 references

hydrostatic approximation

0 references

strong convergence

0 references

0 references

0 references

0 references

0 references

On the equations of the large-scale ocean

0 references

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

0 references

Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

Q4163866

0 references

The Three-Dimensional Navier–Stokes Equations

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

New formulations of the primitive equations of atmosphere and applications

0 references

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

0 references

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

0 references

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

0 references

Primitive equations with continuous initial data

0 references

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

0 references

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

0 references

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

0 references

On the regularity of the primitive equations of the ocean

0 references

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

0 references

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

0 references

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

0 references

Zero viscosity limit for analytic solutions of the primitive equations

0 references

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

0 references

Ill-posedness of the hydrostatic Euler and singular Vlasov equations

0 references

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

0 references

Blowup of solutions of the hydrostatic Euler equations

0 references

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

0 references

Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain

0 references

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

0 references

Homogeneous hydrostatic flows with convex velocity profiles

0 references

On the $H ^{s }$ theory of hydrostatic Euler equations

0 references

On the Local Well-posedness of the Prandtl and Hydrostatic Euler Equations with Multiple Monotonicity Regions

0 references

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

0 references

Identifiers

DOI

10.1016/j.na.2024.113688

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6650549