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# Communications in Mathematical Sciences

## Volume 13 (2015)

### Number 6

### Weak time-periodic solutions to the compressible Navier–Stokes–Poisson equations

Pages: 1515 – 1540

DOI: https://dx.doi.org/10.4310/CMS.2015.v13.n6.a8

#### Authors

#### Abstract

The compressible Navier–Stokes–Poisson equations driven by a time-periodic external force are considered in this paper. The system takes into account the effect of self–gravitation. We establish the existence of weak time-periodic solutions on condition that the adiabatic constant satisfies $\gamma \gt \frac{5}{3}$.

#### Keywords

compressible fluid, Navier–Stokes–Poisson equations, weak time-periodic solutions

#### 2010 Mathematics Subject Classification

35B10, 35M10, 35Q35

Published 13 May 2015