Recurrence in the 2-$D$ Navier--Stokes equations

Autor:	O. P. Manley, C. Foias, Michael S. Jolly
Rok vydání:	2003
Předmět:	Physics::Fluid Dynamics Nonlinear Sciences::Chaotic Dynamics Physics Turbulence Applied Mathematics Mathematical analysis Discrete Mathematics and Combinatorics Wavenumber Flux Navier stokes Navier–Stokes equations Enstrophy Analysis
Zdroj:	Discrete and Continuous Dynamical Systems. 10:253-268
ISSN:	1078-0947
Popis:	Part of the Kolmogorov-Kraichnan-Batchelor theory of turbulence concerns the average enstrophy flux across wave numbers. To support that theory, rigorous relations involving both the net and one-way flux are established using ensemble averages in [9]. In this note we show that some of these relations hold recurrently, and provide explicit estimates for the time intervals of recurrence which are independent of the solution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2fb5bb434aef6b4c864ab17e02ffbb1b https://doi.org/10.3934/dcds.2004.10.253 Zobrazit plný text záznamu