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

DOI10.1007/978-3-031-19252-4_6MaRDI QIDQ6614866

Hongjun Gao, Sarka Necasov, Tong Tang

Publication date: 8 October 2024

Hydrology, hydrography, oceanography (86A05) Navier-Stokes equations (35Q30) PDEs in connection with geophysics (35Q86) Compressible Navier-Stokes equations (76N06)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Weak-strong uniqueness for the isentropic compressible Navier-Stokes system
Existence of a global weak solution to compressible primitive equations
Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data
Existence of the universal attractor for the 3-D viscous primitive equations of large-scale moist atmosphere
Derivation of the Navier-Stokes-Poisson system with radiation for an accretion disk
Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity
On the hydrostatic approximation of the Navier-Stokes equations in a thin strip
On the stability of weak solution for compressible primitive equations
The second law of thermodynamics and stability
On the uniqueness of weak solutions of the two-dimensional primitive equations.
Remarks on the derivation of the hydrostatic Euler equations.
On mathematical problems for the primitive equations of the ocean: The mesoscale midlatitude case
Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor
The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation
Anisotropic estimates and strong solutions of the primitive equations.
Mathematical theory for the coupled atmosphere-ocean models (CAO III)
Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations
On weak-strong uniqueness and singular limit for the compressible primitive equations
Zero Mach number limit of the compressible primitive equations: well-prepared initial data
Global existence of weak solutions for the anisotropic compressible Stokes system
Generalized solutions to models of compressible viscous fluids
Dimension reduction for compressible viscous fluids
Compressible Navier-Stokes equations on thin domains
On the \(H ^{s }\) theory of hydrostatic Euler equations
Diffusion limit of 3D primitive equations of the large-scale ocean under fast oscillating random force
Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
A numerical method for the Study of the circulation of the world ocean
Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces
The global attractor for the solutions to the 3D viscous primitive equations
Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics
A Singular Limit for Compressible Rotating Fluids
Inviscid incompressible limits of strongly stratified fluids
Compressible primitive equations: formal derivation and stability of weak solutions
Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion
New formulations of the primitive equations of atmosphere and applications
On the equations of the large-scale ocean
Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation
A Vertical Diffusion Model for Lakes
Homogeneous hydrostatic flows with convex velocity profiles
On the Two-Dimensional Hydrostatic Navier--Stokes Equations
Local existence of strong solutions and weak–strong uniqueness for the compressible Navier–Stokes system on moving domains
Global existence of weak solutions to 3D compressible primitive equations with degenerate viscosity
Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities
Singular limits in thermodynamics of viscous fluids

This page was built for publication: On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations-rigorous justification

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6614866)