Large-time behavior of solutions to the equations of a viscous polytropic ideal gas

From MaRDI portal
Publication:1570186

DOI10.1007/BF01783686zbMath0953.35119MaRDI QIDQ1570186

N. Delaunay

Publication date: 24 January 2001

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)




Related Items (48)

Some uniform estimates and large-time behavior of solutions to one-dimensional compressible Navier-Stokes system in unbounded domains with large dataGlobal classical solutions of the full compressible Navier-Stokes equations with cylindrical or spherical symmetryUnnamed ItemGlobal well-posedness for the full compressible Navier-Stokes equationsSymmetric flows for compressible heat-conducting fluids with temperature dependent viscosity coefficientsOn free boundary problem for compressible Navier-Stokes equations with temperature-dependent heat conductivityAsymptotic behavior for cylindrically symmetric nonbarotropic flows in exterior domains with large dataGlobal stability of combination of viscous contact wave with rarefaction wave for compressible Navier–Stokes equations with temperature-dependent viscosityLong-time behavior for three dimensional compressible viscousand heat-conductive gasesThree-dimensional flow of a compressible viscous micropolar fluid with cylindrical symmetry: a global existence theoremThe Cauchy Problem for the \(\boldsymbol{N}\)-Dimensional Compressible Navier–Stokes Equations without Heat ConductivityGlobal symmetric classical solutions of the full compressible Navier-Stokes equations with vacuum and large initial dataLarge-time behavior of global solutions to the Cauchy problem of one-dimensional viscous and heat-conducting ionized gasGlobal Regularity for a Radiation Hydrodynamics Model with Viscosity and Thermal ConductivityGlobal Solutions to the Three-Dimensional Full Compressible Navier--Stokes Equations with Vacuum at Infinity in Some Classes of Large DataGlobal existence of cylinder symmetric solutions for the nonlinear compressible Navier-Stokes equationsAsymptotic Behavior of Solutions to One-Dimensional Compressible Navier-Stokes-Poisson Equations with Large Initial DataFree boundary problem for the equations of spherically symmetric motion of compressible gas with density-dependent viscosityThe Cauchy problem for a 1D compressible viscous micropolar fluid model: analysis of the stabilization and the regularityLarge-time behavior of solutions to the equations of a viscous heat-conducting flow with shear viscosity in unbounded domainsExponential stability and universal attractors for the Navier-Stokes equations of compressible fluids between two horizontal parallel plates in \({\mathbb R}^3\)Asymptotic behavior of compressible \(p\)-th power Newtonian fluid with large initial dataExponential stability for the compressible micropolar fluid with cylinder symmetry in R3Global existence of spherically symmetric solutions for nonlinear compressible Navier–Stokes equationsDecay of strong solution for the compressible Navier-Stokes equations with large initial dataGlobal existence and asymptotic behavior of cylindrically symmetric solutions for the 3D infrarelativistic model with radiationGlobal existence and large-time behavior of solutions to the Cauchy problem of one-dimensional viscous radiative and reactive gasUniversal attractor in \(H^4\) for the nonlinear one-dimensional compressible Navier-Stokes equationsGlobal existence and exponential stability of solutions for planar compressible Hall-magnetohydrodynamic equationsExponential stability for the compressible Navier-Stokes equations with the cylinder symmetry in \(\mathbb R^3\)Nonlinearly exponential stability for the compressible Navier-Stokes equations with temperature-dependent transport coefficientsGlobal existence and exponential stability of solutions in \(H^4\) for the compressible Navier-Stokes equations with the cylinder symmetryThe global well-posedness of the Cauchy problem for a liquid crystal systemNonlinearly exponential stability of compressible Navier-Stokes system with degenerate heat-conductivityGlobal existence and exponential stability for a real viscous heat-conducting flow with shear viscosityCauchy problem for non-autonomous Navier-Stokes equations in an unbounded domainOn the cauchy problem for a one-dimensional full compressible non-Newtonian fluidsAsymptotic behavior of spherically or cylindrically symmetric solutions to the compressible Navier-Stokes equations with large initial dataGlobal existence and asymptotic behavior for the compressible Navier-Stokes equations with a non-autonomous external force and a heat sourceGlobal existence for non‐autonomous Navier–Stokes equations with discontinuous initial dataStability and dynamics for a nonlinear one-dimensional full compressible non-Newtonian fluidsThe large time behavior of the free boundary for one dimensional compressible Navier-Stokes equationsOne-dimensional viscous radiative gas with temperature dependent viscosityNonlinear stability of rarefaction waves for one-dimensional compressible Navier-Stokes equations for a reacting mixtureExponential stability of spherically symmetric solutions for compressible viscous micropolar fluidExponential stability for a nonlinear one-dimensional heat-conductive viscous real gasAsymptotic behavior of solutions of initial-boundary value problems for 1D viscous and heat-conducting ionized gas3-D flow of a compressible viscous micropolar fluid with spherical symmetry: large time behavior of the solution



Cites Work


This page was built for publication: Large-time behavior of solutions to the equations of a viscous polytropic ideal gas