Randomness in Compressible Fluid Flows Past an Obstacle

Feireisi E, Hofmanová M (2022)
Journal of Statistical Physics 186(3): 32.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Feireisi, Eduard; Hofmanová, MartinaUniBi
Abstract / Bemerkung
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 L-p-sense. These results strongly indicate that a stochastic forcing may not be a suitable model for turbulent randomness in compressible fluid flows.
Stichworte
Compressible Euler system; Vanishing viscosity limit; Statistical; solution
Erscheinungsjahr
2022
Zeitschriftentitel
Journal of Statistical Physics
Band
186
Ausgabe
3
Art.-Nr.
32
ISSN
0022-4715
eISSN
1572-9613
Page URI
https://pub.uni-bielefeld.de/record/2961108

Zitieren

Feireisi E, Hofmanová M. Randomness in Compressible Fluid Flows Past an Obstacle. Journal of Statistical Physics . 2022;186(3): 32.
Feireisi, E., & Hofmanová, M. (2022). Randomness in Compressible Fluid Flows Past an Obstacle. Journal of Statistical Physics , 186(3), 32. https://doi.org/10.1007/s10955-022-02879-6
Feireisi, E., and Hofmanová, M. (2022). Randomness in Compressible Fluid Flows Past an Obstacle. Journal of Statistical Physics 186:32.
Feireisi, E., & Hofmanová, M., 2022. Randomness in Compressible Fluid Flows Past an Obstacle. Journal of Statistical Physics , 186(3): 32.
E. Feireisi and M. Hofmanová, “Randomness in Compressible Fluid Flows Past an Obstacle”, Journal of Statistical Physics , vol. 186, 2022, : 32.
Feireisi, E., Hofmanová, M.: Randomness in Compressible Fluid Flows Past an Obstacle. Journal of Statistical Physics . 186, : 32 (2022).
Feireisi, Eduard, and Hofmanová, Martina. “Randomness in Compressible Fluid Flows Past an Obstacle”. Journal of Statistical Physics 186.3 (2022): 32.

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