On some stochastic shell models of turbulance
Seminar Room 1, Newton Institute
Various shell models of turbulence will be introduced and their relationship with turbulent fluid flows and 3d Navier-Stokes equations will be explained. Driven by an additive noise, we will study a particular shell model, the GOY.
We will prove its well posedness and study its longtime behavior and its statistical properties.
Some results between the Goy model and its linear counterpart will be studied.