All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

Ergodic theory for energetically open compressible fluid flows

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00542582" target="_blank" >RIV/67985840:_____/21:00542582 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1016/j.physd.2021.132914" target="_blank" >https://doi.org/10.1016/j.physd.2021.132914</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.physd.2021.132914" target="_blank" >10.1016/j.physd.2021.132914</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Ergodic theory for energetically open compressible fluid flows

  • Original language description

    The ergodic hypothesis is examined for energetically open fluid systems represented by the barotropic Navier–Stokes equations with general inflow/outflow boundary conditions. We show that any globally bounded trajectory generates a stationary statistical solution, which is interpreted as a stochastic process with continuous trajectories supported by the family of weak solutions of the problem. The abstract Birkhoff–Khinchin theorem is applied to obtain convergence (in expectation and a.s.) of ergodic averages for any bounded Borel measurable function of state variables associated to any stationary solution. Finally, we show that validity of the ergodic hypothesis is determined by the behavior of entire solutions (i.e. a solution defined for any t∈R). In particular, the ergodic averages converge for any trajectory provided its ω-limit set in the trajectory space supports a unique (in law) stationary solution.

  • 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

    Physica. D

  • ISSN

    0167-2789

  • e-ISSN

    1872-8022

  • Volume of the periodical

    423

  • Issue of the periodical within the volume

    September

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    25

  • Pages from-to

    132914

  • UT code for WoS article

    000661734700006

  • EID of the result in the Scopus database

    2-s2.0-85105699010