Global Solutions to the initial boundary problem of 3-D compressible Navier-Stokes-Poisson on bounded domains

Abstract

The initial boundary value problems for compressible Navier-Stokes-Poisson is considered on a bounded domain in ${\mathbb{R}}^3$ in this paper. The global existence of smooth solutions near a given steady state for compressible Navier-Stokes-Poisson with physical boundary conditions is established with the exponential stability. An important feature is that the steady state (except velocity) and the background profile are allowed to be of large variation.

arXiv comment31pages

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• Optimal decay rate of the compressible Navier-Stokes-Poisson system in R^3
• Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem with Degenerate Density Dependent Viscosities
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Cited by in corpus (1)

• Global Well-posedness of Classical Solutions to the Compressible Navier-Stokes-Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains