I will explain that incompressible Navier-Stokes is the wrong
equation to describe turbulence in low Mach number molecular fluids
because it neglects the effects of thermal noise. There should, in
fact, be strong effects of thermal noise throughout...
We present an elementary summary of known results, and open
questions, on scaling problems in hydrodynamic turbulence in three
dimensions. The goal is to provide some background for the two
talks to follow, and summarize Victor Yakhot's theory...