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Navier-Stokes-Fourier system with Dirichlet boundary conditions

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    0560286 - MÚ 2023 RIV GB eng J - Článek v odborném periodiku
    Chaudhuri, N. - Feireisl, Eduard
    Navier-Stokes-Fourier system with Dirichlet boundary conditions.
    Applicable Analysis. Roč. 101, č. 12 (2022), s. 4076-4094. ISSN 0003-6811. E-ISSN 1563-504X
    Grant CEP: GA ČR(CZ) GA18-05974S
    Institucionální podpora: RVO:67985840
    Klíčová slova: Dirichlet boundary conditions * Navier-Stokes-Fourier system * weak solution * weak-strong uniqueness
    Obor OECD: Pure mathematics
    Impakt faktor: 1.278, rok: 2021
    Způsob publikování: Open access
    https://doi.org/10.1080/00036811.2021.1992396

    We consider the Navier–Stokes–Fourier system describing the motion of a compressible, viscous, and heat-conducting fluid in a bounded domain (Formula presented.), d = 2, 3, with general non-homogeneous Dirichlet boundary conditions for the velocity and the absolute temperature, with the associated boundary conditions for the density on the inflow part. We introduce a new concept of a weak solution based on the satisfaction of the entropy inequality together with a balance law for the ballistic energy. We show the weak–strong uniqueness principle as well as the existence of global-in-time solutions.
    Trvalý link: https://hdl.handle.net/11104/0333272

     
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