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Approximating viscosity solutions of the Euler system

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    0559096 - MÚ 2023 RIV US eng J - Journal Article
    Feireisl, Eduard - Lukáčová-Medviďová, M. - Schneider, S. - She, Bangwei
    Approximating viscosity solutions of the Euler system.
    Mathematics of Computation. Roč. 91, č. 337 (2022), s. 2129-2164. ISSN 0025-5718. E-ISSN 1088-6842
    R&D Projects: GA ČR(CZ) GA21-02411S
    Institutional support: RVO:67985840
    Keywords : barotropic Navier-Stokes system * isentropic Euler system * vanishing viscosity limit * viscosity finite volume method * oscillatory solution * Kolmogorov hypothesis
    OECD category: Pure mathematics
    Impact factor: 2.000, year: 2022
    Method of publishing: Limited access

    Applying the concept of S-convergence, based on averaging in the spirit of Strong Law of Large Numbers, the vanishing viscosity solutions of the Euler system are studied. We show how to efficiently compute a viscosity solution of the Euler system as the S-limit of numerical solutions obtained by the viscosity finite volume method. Theoretical results are illustrated by numerical simulations of the Kelvin-Helmholtz instability problem.
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    Feireisl5.pdf52.5 MBPublisher’s postprintrequire
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