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A note on the long-time behavior of dissipative solutions to the Euler system

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00549715" target="_blank" >RIV/67985840:_____/21:00549715 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s00028-021-00696-0" target="_blank" >https://doi.org/10.1007/s00028-021-00696-0</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00028-021-00696-0" target="_blank" >10.1007/s00028-021-00696-0</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A note on the long-time behavior of dissipative solutions to the Euler system

  • Original language description

    We show that the Reynolds defect measure for a dissipative weak solution of the compressible Euler system vanishes for large time. This may be seen as a piece of evidence that the dissipative solutions are asymptotically close to weak solutions in the turbulent regime, whence suitable for describing compressible fluid flows in the long run.

  • 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/GA18-05974S" target="_blank" >GA18-05974S: Oscillations and concentrations versus stability in the equations of mathematical fluid dynamics</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • 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 Evolution Equations

  • ISSN

    1424-3199

  • e-ISSN

    1424-3202

  • Volume of the periodical

    21

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    8

  • Pages from-to

    2807-2814

  • UT code for WoS article

    000641244300001

  • EID of the result in the Scopus database

    2-s2.0-85120841154