Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions

Abstract

The compressible Navier-Stokes-Poisson system is concerned in the present paper, and the global existence and uniqueness of the strong solution is shown in the framework of hybrid Besov spaces in three and higher dimensions.

28 pages

References in corpus (1)

• The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data

Cited by in corpus (10)

• Analysis of Oscillations and Defect Measures for the Quasineutral Limit in Plasma Physics
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• Optimal large time behavior of the compressible Bipolar Navier--Stokes--Poisson system with unequal viscosities
• Long-term regularity of two dimensional Navier-Stokes-Poisson equations
• Stability of equilibria uniformly in the inviscid limit for the Navier-Stokes-Poisson system
• A sharp time-weighted inequality for the compressible Navier-Stokes-Poisson system in the critical $L^p$ framework
• Decay of the Navier-Stokes-Poisson equations
• Large time behavior for the non-isentropic Navier-Stokes-Maxwell system
• Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions
• Global Well-posedness of Classical Solutions to the Compressible Navier-Stokes-Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains