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

TL;DR

This paper proves the global existence and uniqueness of strong solutions for the compressible Navier-Stokes-Poisson system in three and higher dimensions using hybrid Besov spaces.

Contribution

It establishes the first global well-posedness results for this system in higher dimensions within hybrid Besov space frameworks.

Findings

Global existence of strong solutions in three and higher dimensions.

Uniqueness of solutions under the given framework.

Use of hybrid Besov spaces for analysis.

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.