Seminar series
Date
Thu, 21 Feb 2013
12:00
12:00
Location
Gibson 1st Floor SR
Speaker
Alexandre Boritchev
Organisation
Ecole Polytechnique
The Kolmogorov 1941 theory (K41) is, in a way, the starting point for all
models of turbulence. In particular, K41 and corrections to it provide
estimates of small-scale quantities such as increments and energy spectrum
for a 3D turbulent flow. However, because of the well-known difficulties
involved in studying 3D turbulent flow, there are no rigorous results
confirming or infirming those predictions. Here, we consider a well-known
simplified model for 3D turbulence: Burgulence, or turbulence for the 1D
Burgers equation. In the space-periodic case with a stochastic white in
time and smooth in space forcing term, we give sharp estimates for
small-scale quantities such as increments and energy spectrum.