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

0551079 - MÚ 2023 RIV US eng J - Journal Article
Basarić, Danica
Weak-strong uniqueness principle for compressible barotropic self-gravitating fluids.
Journal of Mathematical Analysis and Applications. Roč. 508, č. 2 (2022), č. článku 125926. ISSN 0022-247X. E-ISSN 1096-0813
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : Gaseous star * Navier-Stokes-Poisson system * eeak-strong uniqueness principle
OECD category: Pure mathematics
Impact factor: 1.3, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.jmaa.2021.125926

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(ϱ)=aϱγ and allowing the density to be close or equal to zero. In particular, the result will be first obtained for an adiabatic exponent γ∈[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.
Permanent Link: http://hdl.handle.net/11104/0326415