Over the past few years there has been a surge of interest in such models which include, avection of a passive scalar, and randomly driven Burgers. The main purpose of this program at IAS is to bring people from mathematics, physics and fluid mechanics communities to continue this work and to explore more realistic turbulence problems, such as 2D turbulence and wave turbulence. The minimum goal is to crystalize the mathematical formulation of the problem, the expected result, and identify critical obstacles where numerical computations and simplified models might help. A second goal is to examine the recent progress on analysis of invariant measures for nonlinear PDEs, and extend them to physically realistic situations. Junior mathematicians with an established interest in the domain or a desire to learn about it are encouraged to apply for membership for the year, and if necessary for a grant.
Senior mathematicians are also welcome to apply.