Stabilization and stability for the spherically symmetric Navier-Stokes-Poisson system

DOI10.1016/j.aml.2004.12.002zbMath1125.35071OpenAlexW2095412568MaRDI QIDQ812691

Alexander Zlotnik, Bernard Ducomet

Publication date: 24 January 2006

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

Full work available at URL: https://doi.org/10.1016/j.aml.2004.12.002

zbMATH Keywords

stabilization\(\omega\)-limit setNavier-Stokes-Poisson systemstatic stabilitynonlinear dynamical stability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Galactic and stellar structure (85A15) Hydrodynamic stability (76E99) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (15)

Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities ⋮ Global well-posedness of compressible bipolar Navier-Stokes-Poisson equations ⋮ Well-posedness of Compressible Euler Equations in a Physical Vacuum ⋮ Some results on Newtonian gaseous stars -- existence and stability ⋮ Global well-posedness for the compressible Navier-Stokes-Poisson system in the \(L^p\) framework ⋮ Global existence for the non-isentropic compressible Navier-Stokes-Poisson system in three and higher dimensions ⋮ Optimal temporal decay rate of the non‐isentropic compressible Navier–Stokes–Poisson system ⋮ Global existence of solution to initial boundary value problem for bipolar Navier-Stokes-Poisson system ⋮ Global existence of weak solution for the compressible Navier-Stokes-Poisson system for gaseous stars ⋮ Asymptotical behavior of bipolar non-isentropic compressible Navier-Stokes-Poisson system ⋮ Stability for steady states of Navier-Stokes-Poisson equations ⋮ Local well-posedness of dynamics of viscous gaseous stars ⋮ Blow-up of smooth solutions to the Navier-Stokes-Poisson equations ⋮ Long time behavior of weak solutions to Navier-Stokes-Poisson system ⋮ Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions

Cites Work

• The problem of symmetric equilibrium in compressible barotropic fluids with a free surface for a general body force
• Lyapunov functionals of symmetric flows of a viscous compressible barotropic fluid with a free surface for a general body force
• Newtonian stellar models.
• Properties and asymptotic behavior of solutions of some problems of one- dimensional motion of a viscous barotropic gas
• Numbers of equilibria for the equation of self-gravitating isentropic gas surrounding a solid ball
• Free boundary problem for the equation of spherically symmetric motion of viscous gas. III
• HYDRODYNAMICAL MODELS OF GASEOUS STARS
• On the existence and properties of the rotationally symmetric equilibrium state of compressible barotropic self-gravitating fluids
• Stability of Gaseous Stars in Spherically Symmetric Motions
• Viscous compressible barotropic symmetric flows with free boundary under general mass force Part I: Uniform‐in‐time bounds and stabilization
• Gravitational instability of isothermal and polytropic spheres
• Stabilization rate and stability for viscous compressible barotropic symmetric flows with free boundary for a general mass force
• Uniform estimates and stabilization of symmetric solutions of a system of quasilinear equations

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