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arxiv: 0707.4459 · v1 · submitted 2007-07-30 · 🧮 math.AP · math-ph· math.DS· math.MP· physics.flu-dyn

Segment Description of Turbulence

classification 🧮 math.AP math-phmath.DSmath.MPphysics.flu-dyn
keywords descriptionsegmentaveragechallengeclassicalconnectionsdevelopdynamics
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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.

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