Low Mach Number Limit of Viscous Polytropic Flows: Formal Asymptotics in the Periodic Case

From MaRDI portal
Publication:4784776

DOI10.1111/1467-9590.01440zbMath1114.76347OpenAlexW2087769963MaRDI QIDQ4784776

Benoît Desjardins, Chi-Kun Lin, Bresch, Didier, Emmanuel Grenier

Publication date: 11 December 2002

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.01440




Related Items (44)

Uniform regularity for the compressible Navier-Stokes system with low Mach number in domains with boundariesZero-Mach limit of the compressible Navier–Stokes–Korteweg equationsZero Mach number limit of the compressible Euler-Korteweg equationsLow Mach number limit for the compressible Navier-Stokes equations with density-dependent viscosity and vorticity-slip boundary conditionRigorous derivation of the anelastic approximationLow Mach number limit of Navier-Stokes equations with large temperature variations in bounded domainsExistence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transportThe mathematical theory of low Mach number flowsAn example of low Mach (Froude) number effects for compressible flows with nonconstant density (height) limitOn the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluidsDiffusive wave in the low Mach limit for compressible Navier-Stokes equationsGlobal existence and the low Mach number limit for the compressible magnetohydrodynamic equations in a bounded domain with perfectly conducting boundaryStability result for Navier-Stokes equations with entropy transportIncompressible limit for the free surface Navier-Stokes systemLow Mach number limit of solutions to the stochastic compressible magnetohydrodynamic equationsConvergence of the relaxed compressible Navier-Stokes equations to the incompressible Navier-Stokes equationsThe zero Mach number limit of the three-dimensional compressible viscous magnetohydrodynamic equationsON THE INCOMPRESSIBLE LIMIT FOR THE NAVIER–STOKES–FOURIER SYSTEM IN DOMAINS WITH WAVY BOTTOMSLow Mach number limit of viscous polytropic fluid flowsConvergence of the three-dimensional compressible Navier-Stokes-Poisson-Korteweg equation to the incompressible Euler equationLow Mach number limit of non-isentropic magnetohydrodynamic equations in a bounded domainLow Mach number limit for the full compressible magnetohydrodynamic equations with general initial dataSingular ordinary differential equations homogeneous of degree $0$ near a codimension $2$ setCrossing of eigenvalues: measure type estimatesLayered incompressible fluid flow equations in the limit of low Mach number and strong stratificationThe Incompressible Limits of Viscous Polytropic Fluids with Zero Thermal Conductivity CoefficientLow Froude number limit of the rotating shallow water and Euler equationsThe low Mach number limit for the full Navier-Stokes-Fourier systemIncompressible limit for the compressible flow of liquid crystalsIncompressible limit of the non-isentropic Navier-Stokes equations with well-prepared initial data in three-dimensional bounded domainsIncompressible Limit of the Nonisentropic Ideal Magnetohydrodynamic EquationsLow Mach number limit of the full Navier-Stokes equationsConvergence of the Klein-Gordon equation to the wave map equation with magnetic fieldHydrodynamic limits of the nonlinear Klein-Gordon equationSingular limits of the Klein-Gordon equationLow Mach number limit of full Navier-Stokes equations in a 3D bounded domainAnelastic Approximation as a Singular Limit of the Compressible Navier–Stokes SystemSecond-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equationsSINGULAR LIMIT OF THE EQUATIONS OF MAGNETOHYDRODYNAMICS IN THE PRESENCE OF STRONG STRATIFICATIONThe incompressible limit of the full Navier-Stokes-Fourier system on domains with rough boundariesLow Mach number limit for the full compressible Navier-Stokes equations with Cattaneo's heat transfer lawLow Mach and Low Froude Number Limit for Vacuum Free Boundary Problem of All-time Classical Solutions of one-dimensional Compressible Navier--Stokes EquationsConvergence rate of fully compressible Navier-Stokes equations in three-dimensional bounded domainsExistence of strong solutions to the steady Navier-Stokes equations for a compressible heat-conductive fluid with large forces




This page was built for publication: Low Mach Number Limit of Viscous Polytropic Flows: Formal Asymptotics in the Periodic Case