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Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent γ > 3

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00576363" target="_blank" >RIV/67985840:_____/23:00576363 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/23:10473661

  • Result on the web

    <a href="https://doi.org/10.1016/j.jde.2023.08.040" target="_blank" >https://doi.org/10.1016/j.jde.2023.08.040</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jde.2023.08.040" target="_blank" >10.1016/j.jde.2023.08.040</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent γ > 3

  • Original language description

    We consider the unsteady compressible Navier-Stokes equations in a perforated three-dimensional domain, and show that the limit system for the diameter of the holes going to zero is the same as in the perforated domain provided the perforations are small enough. The novelty of this result is the lower adiabatic exponent γ>3 instead of the known value γ>6. The proof is based on the use of two different restriction operators leading to two different types of pressure estimates. We also discuss the extension of this result for the unsteady Navier-Stokes-Fourier system as well as the optimality of the known results in arbitrary space dimension for both steady and unsteady problems.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA22-01591S" target="_blank" >GA22-01591S: Mathematical theory and numerical analysis for equations of viscous newtonian compressible fluids</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2023

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Differential Equations

  • ISSN

    0022-0396

  • e-ISSN

    1090-2732

  • Volume of the periodical

    377

  • Issue of the periodical within the volume

    December

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    26

  • Pages from-to

    271-296

  • UT code for WoS article

    001124052400001

  • EID of the result in the Scopus database

    2-s2.0-85171188275