Počet záznamů: 1  

A rigorous justification of the Euler and Navier-Stokes equations with geometric effects

  1. 1. 0466755 - MU-W 2017 RIV US eng J - Článek v odborném periodiku
    Bella, P. - Feireisl, Eduard - Lewicka, M. - Novotný, A.
    A rigorous justification of the Euler and Navier-Stokes equations with geometric effects.
    SIAM Journal on Mathematical Analysis. Roč. 48, č. 6 (2016), s. 3907-3930 ISSN 0036-1410
    GRANT EU: European Commission(XE) 320078 - MATHEF
    Institucionální podpora: RVO:67985840
    Klíčová slova: isentropic Navier-Stokes system * isentropic Euler system * inviscid limit
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.648, rok: 2016
    http://epubs.siam.org/doi/10.1137/15M1048963

    We derive the one-dimensional (1D) isentropic Euler and Navier--Stokes equations describing the motion of a gas through a nozzle of variable cross section as the asymptotic limit of the 3D isentropic Navier--Stokes system in a cylinder, the diameter of which tends to zero. Our method is based on the relative energy inequality satisfied by any weak solution of the 3D Navier--Stokes system and a variant of the Korn--Poincaré inequality on thin channels that may be of independent interest.
    Trvalý link: http://hdl.handle.net/11104/0264991
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