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Two phase flows of compressible viscous fluids

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    0557876 - MÚ 2023 RIV US eng J - Journal Article
    Feireisl, Eduard - Novotný, A.
    Two phase flows of compressible viscous fluids.
    Discrete and Continuous Dynamical systems - Series S. Roč. 15, č. 8 (2022), s. 2215-2232. ISSN 1937-1632. E-ISSN 1937-1179
    R&D Projects: GA ČR(CZ) GA21-02411S
    Institutional support: RVO:67985840
    Keywords : two phase flow * compressible fluid * varifold solution * non-Newtonian fluid
    OECD category: Pure mathematics
    Impact factor: 1.8, year: 2022
    Method of publishing: Limited access
    http://dx.doi.org/10.3934/dcdss.2022091

    We introduce a new concept of dissipative varifold solution to models of two phase compressible viscous fluids. In contrast with the existing approach based on the Young measure description, the new formulation is variational combining the energy and momentum balance in a single inequality. We show the existence of dissipative varifold solutions for a large class of general viscous fluids with non–linear dependence of the viscous stress on the symmetric velocity gradient.
    Permanent Link: http://hdl.handle.net/11104/0331724

     
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