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Generalized solutions to models of compressible viscous fluids

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    0535783 - MÚ 2022 RIV US eng J - Článek v odborném periodiku
    Abbatiello, A. - Feireisl, Eduard - Novotný, A.
    Generalized solutions to models of compressible viscous fluids.
    Discrete and Continuous Dynamical Systems. Roč. 41, č. 1 (2021), s. 1-28. ISSN 1078-0947
    Institucionální podpora: RVO:67985840
    Klíčová slova: compressible fluid * defect measure * dissipative solution * non-homogenous boundary data * non-linear viscous fluid
    Kód oboru RIV: BA - Obecná matematika
    Obor OECD: Pure mathematics
    Impakt faktor: 1.338, rok: 2019
    http://dx.doi.org/10.3934/dcds.2020345

    We propose a new approach to models of general compressible viscous fluids based on the concept of dissipative solutions. These are weak solutions satisfying the underlying equations modulo a defect measure. A dissipative solution coincides with the strong solution as long as the latter exists (weak–strong uniqueness) and they solve the problem in the classical sense as soon as they are smooth (compatibility). We consider general models of compressible viscous fluids with non–linear viscosity tensor and non–homogeneous boundary conditions, for which the problem of existence of global–in–time weak/strong solutions is largely open.
    Trvalý link: http://hdl.handle.net/11104/0313717
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