Number of the records: 1
Randomness in compressible fluid flows past an obstacle
- 1.
SYSNO ASEP 0552599 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Randomness in compressible fluid flows past an obstacle Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Hofmanová, M. (DE)Article number 32 Source Title Journal of Statistical Physics. - : Springer - ISSN 0022-4715
Roč. 186, č. 3 (2022)Number of pages 28 s. Language eng - English Country US - United States Keywords compressible fluid flows ; Navier-Stokes system Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA21-02411S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 000749188200001 EID SCOPUS 85123624264 DOI 10.1007/s10955-022-02879-6 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2023 Electronic address https://doi.org/10.1007/s10955-022-02879-6
Number of the records: 1