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

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    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

     
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