Kolmogorov’s theory of turbulence and its rigorous 1d model

Sergei Kuksin (1, 2)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche
2 School of Mathematics, Shandong University

This paper is a synopsis of the recent book [9]. The latter is dedicated to the stochastic Burgers equation as a model for 1d turbulence, and the paper discusses its content in relation to the Kolmogorov theory of turbulence. [9] Boritchev, Alexandre; Kuksin, Sergei. One-dimensional turbulence and the stochastic Burgers equation. Mathematical Surveys and Monographs, 255. American Mathematical Society, Providence, RI, [2021], ©2021. vii+192 pp. ISBN: 978-1-4704-6436-3 ; MCS: 60H15 (35Q35 35R60 76F02 76F25).

Cet article est un synopsis du livre récent [9]. Le livre est dédié à l’équation be Burgers stochastique comme un modèle du turbulence unidimensionnelle, et l’article discute de son contenu en relation avec la théorie de la turbulence de Kolmogorov. [9] Boritchev, Alexandre; Kuksin, Sergei. One-dimensional turbulence and the stochastic Burgers equation. Mathematical Surveys and Monographs, 255. American Mathematical Society, Providence, RI, [2021], ©2021. vii+192 pp. ISBN: 978-1-4704-6436-3 ; MCS: 60H15 (35Q35 35R60 76F02 76F25).

Domaines: Statistiques [math.ST]

Sergei Kuksin. Kolmogorov’s theory of turbulence and its rigorous 1d model. Annales mathématiques du Québec, 2021, 46 (1), pp.181-193. ⟨10.1007/s40316-021-00174-6⟩. ⟨hal-03673607⟩