Dynamics of Partial Differential Equations
Volume 4 (2007)
Segment description of turbulence
Pages: 283 – 291
We propose a segment description for turbulent solutions to evolution equations in an effort to develop an effective description rather than the classical Reynolds average. The new description has connections with symbolic dynamics and shadowing technique. The challenge of future study is how to effectively implement the description numerically.
segment, turbulence, attractor, partition, Markov partition, symbolic dynamics
2010 Mathematics Subject Classification
Primary 35-xx, 37-xx. Secondary 34-xx, 46-xx.