Dynamical systems and simulation of turbulence

• Date: 2007
• Main Authors: Romanenko, Ye. Yu., Sharkovsky, O. M., Романенко, Е. Ю., Шарковский, А. Н.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3305
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We propose an approach to the analysis of turbulent oscillations described by nonlinear boundary-value problems for partial differential equations. This approach is based on passing to a dynamical system of shifts along solutions and uses the notion of ideal turbulence (a mathematical phenomenon in...