Randomness in compressible fluid flows past an obstacle

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Randomness in compressible fluid flows past an obstacle

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Randomness in compressible fluid flows past an obstacle

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA21-02411S" target="_blank" >GA21-02411S: Řešení nekorektních úloh pohybu stlačitelných tekutin</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

Journal of Statistical Physics

ISSN

0022-4715

e-ISSN

1572-9613

Svazek periodika

186

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

28

Strana od-do

32

Kód UT WoS článku

000749188200001

EID výsledku v databázi Scopus

2-s2.0-85123624264