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Randomness in compressible fluid flows past an obstacle

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00552599" target="_blank" >RIV/67985840:_____/22:00552599 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s10955-022-02879-6" target="_blank" >https://doi.org/10.1007/s10955-022-02879-6</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10955-022-02879-6" target="_blank" >10.1007/s10955-022-02879-6</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Randomness in compressible fluid flows past an obstacle

  • Original language description

    We consider a statistical limit of solutions to the compressible Navier-Stokes system in the high Reynolds number regime in a domain exterior to a rigid body. We investigate to what extent this highly turbulent regime can be modeled by an external stochastic perturbation, as suggested in the related physics literature. To this end, we interpret the statistical limit as a stochastic process on the associated trajectory space. We suppose that the limit process is statistically equivalent to a solution of the stochastic compressible Euler system. Then, necessarily, the stochastic forcing is not active-the limit is a statistical solution of the deterministic Euler system, the solutions S-converge to the limit, if, in addition, the expected value of the limit process solves the Euler system, then the limit is deterministic and the convergence is strong in the Lp-sense. These results strongly indicate that a stochastic forcing may not be a suitable model for turbulent randomness in compressible fluid flows.

  • 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/GA21-02411S" target="_blank" >GA21-02411S: Solving ill posed problems in the dynamics of compressible fluids</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • 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 Statistical Physics

  • ISSN

    0022-4715

  • e-ISSN

    1572-9613

  • Volume of the periodical

    186

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    28

  • Pages from-to

    32

  • UT code for WoS article

    000749188200001

  • EID of the result in the Scopus database

    2-s2.0-85123624264