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On the weak solutions to the equations of a compressible heat conducting gas

  1. 1. 0440701 - MU-W 2016 RIV FR eng J - Článek v odborném periodiku
    Chiodaroli, E. - Feireisl, Eduard - Kreml, O.
    On the weak solutions to the equations of a compressible heat conducting gas.
    Annales de l'Institut Henri Poincaré. Analyse non Linéaire. Roč. 32, č. 1 (2015), s. 225-243 ISSN 0294-1449
    GRANT EU: European Commission(XE) 320078 - MATHEF
    Institucionální podpora: RVO:67985840
    Klíčová slova: Euler-Fourier system * convex integration * weak solution
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 2.066, rok: 2015
    http://www.sciencedirect.com/science/article/pii/S0294144913001339

    We consider the weak solutions to the Euler–Fourier system describing the motion of a compressible heat conducting gas. Employing the method of convex integration, we show that the problem admits infinitely many global-in-time weak solutions for any choice of smooth initial data. We also show that for any initial distribution of the density and temperature, there exists an initial velocity such that the associated initial-value problem possesses infinitely many solutions that conserve the total energy.
    Trvalý link: http://hdl.handle.net/11104/0243801
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