Speaker: Elef Gkioulekas, Applied Mathematics
Title:
Date: Thursday, April 24, 2002
Time: 2:30 - 3:20pm
Place: Guggenheim AMATH Library
Abstract. It is well known that in two dimensional turbulence there is an enstrophy inertial range in which enstrophy cascades from the forcing length scale to a small dissipation length scale, and an energy inertial range in which energy cascades from the forcing length scale to a large dissipation length scale, if there is an appropriate large-scale energy sink. Kraichnan made specific predictions about the scaling properties of these inertial ranges, but experiments have failed to confirm these predictions consistently. Unlike three-dimensional turbulence, the structural stability of the inertial ranges is very sensitive to the order of the dissipation mechanisms. I present a theory that explains how all of this works.
Everyone welcome!