Weak-strong uniqueness principle for compressible barotropic self-gravitating fluids

The aim of this work is to prove the weak-strong uniqueness principle for the compressible Navier-Stokes-Poisson system on an exterior domain, with an isentropic pressure of the type p((SIC)) = a(SIC)(gamma) and allowing the density to be close or equal to zero. In particular, the result will be first obtained for an adiabatic exponent gamma is an element of & nbsp; [9/5, 2] and afterwards, this range will be slightly enlarged via pressure estimates "up to the boundary ", deduced relaying on boundedness of a proper singular integral operator. (C)& nbsp;2021 Elsevier Inc. All rights reserved.