Segment description of turbulence (Q928519)

The author says ``there are two most significant problems in the study of turbulence: 1. An effective description of turbulent solutions rather then the Reynolds average, 2. Control of turbulence''. The article is the step to solve these problems. The author proposes a segment description for turbulent solutions to evolution equations. Via the segment description every turbulent solution can be approximated uniformly over an infinite time interval by a pseudosolution built by segments of solutions. This new description has connections with symbolic dynamics and shadowing technique. There are some ideas of effective numerical implementation of the segment description.