Rigorous derivation of the anelastic approximation
From MaRDI portal
Publication:2385797
DOI10.1016/j.matpur.2007.06.001zbMath1157.35081OpenAlexW2090279396MaRDI QIDQ2385797
Publication date: 15 October 2007
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2007.06.001
Mach numbersingular limitFroude numbercompressible Navier-Stokes systemanelastic approximationcompressible-incompressible limit
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (max. 100)
A Posteriori Modeling Error Estimates for the Assumption of Perfect Incompressibility in the Navier--Stokes Equation ⋮ An anelastic approximation arising in astrophysics ⋮ Well-posedness of strong solutions to the anelastic equations of stratified viscous flows ⋮ Low Mach number limits of compressible rotating fluids ⋮ Incompressible limits and propagation of acoustic waves in large domains with boundaries ⋮ Low Mach number limit for the degenerate Navier-Stokes equations in presence of strong stratification ⋮ On the incompressible limit of a strongly stratified heat conducting fluid ⋮ From Vlasov-Poisson and Vlasov-Poisson-Fokker-Planck systems to incompressible Euler equations: the case with finite charge ⋮ Singular limit of planar magnetohydrodynamic equations with vacuum free boundary ⋮ On the influence of gravity in the dynamics of geophysical flows ⋮ Zero Mach number limit of the compressible primitive equations: Ill-prepared initial data ⋮ Low Mach Number Limit for the Navier–Stokes System on Unbounded Domains Under Strong Stratification ⋮ Existence and uniqueness of isothermal, slightly compressible stratified flow ⋮ Layered incompressible fluid flow equations in the limit of low Mach number and strong stratification ⋮ Low Froude number limit of the rotating shallow water and Euler equations ⋮ A singular limit problem for rotating capillary fluids with variable rotation axis ⋮ Incompressible limit of the non-isentropic Navier-Stokes equations with well-prepared initial data in three-dimensional bounded domains ⋮ Multi-scale analysis of compressible viscous and rotating fluids ⋮ Mathematical models of incompressible fluids as singular limits of complete fluid systems ⋮ FLOWS OF VISCOUS COMPRESSIBLE FLUIDS UNDER STRONG STRATIFICATION: INCOMPRESSIBLE LIMITS FOR LONG-RANGE POTENTIAL FORCES ⋮ SINGULAR LIMIT OF THE EQUATIONS OF MAGNETOHYDRODYNAMICS IN THE PRESENCE OF STRONG STRATIFICATION ⋮ Local Decay of Acoustic Waves in the Low Mach Number Limits on General Unbounded Domains Under Slip Boundary Conditions ⋮ Low Mach and Low Froude Number Limit for Vacuum Free Boundary Problem of All-time Classical Solutions of one-dimensional Compressible Navier--Stokes Equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A unified asymptotic theory of the anelastic approximation in geophysical gases and liquids
- Incompressible limit for a viscous compressible fluid
- The motion of slightly compressible fluids viewed as a motion with strong constraining force
- Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions
- Oscillatory perturbations of the Navier-Stokes equations
- Averaging theorems for conservative systems and the weakly compressible Euler equations
- Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
- Bornes sur la densité pour les équations de Navier-Stokes compressibles isentropiques avec conditions aux limites de Dirichlet
- Une approche locale de la limite incompressible
- Low Mach Number Limit of Viscous Polytropic Flows: Formal Asymptotics in the Periodic Case
- On Integrability up to the boundary of the weak solutions of the navier—stokes equations of compressible flow
- The mathematical theory of low Mach number flows
- Low Mach number limit for viscous compressible flows
- Multiple spatial scales in engineering and atmospheric low Mach number flows
- Incompressible, inviscid limit of the compressible Navier-Stokes system
This page was built for publication: Rigorous derivation of the anelastic approximation