Dynamics of Partial Differential Equations

Volume 4 (2007)

Number 3

Segment description of turbulence

Pages: 283 – 291

DOI: http://dx.doi.org/10.4310/DPDE.2007.v4.n3.a5

Author

Y. Charles Li (Department of Mathematics, University of Missouri)

Abstract

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.

Keywords

segment, turbulence, attractor, partition, Markov partition, symbolic dynamics

2010 Mathematics Subject Classification

Primary 35-xx, 37-xx. Secondary 34-xx, 46-xx.

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