**Claude Bardos**

**Afilliation:**Laboratoire Jacques Louis Lions University Pierre and Marie Curie

**Title:**Boundary Effect and Turbulence

**Abstract:**A series of recent results seem to indicate that it is the presence of boundary with the Reynolds number going to infinity that the relation between weak convergence and statistical theory of turbulence is the most obvious. In this situation one can show that the absence of turbulence is characterized by the following equivalent facts:

- Non conservation of energy.
- Anomalous energy dissipation.
- Anomalous energy dissipation in a boundary layer of size $o(\nu)$.
- Non $0$ Reynolds stress tensor.

**Slides:**BardosClaude2.pdf

**Paper:**BardosClaude.pdf