This Project Grant award, valued at $176,355.00 and provided by the National Science Foundation (NSF) through its Mathematical and Physical Sciences (CFDA 47.049) program, supports five research projects (A-E) conducted by the University of Chicago. The primary focus of the award is on advancing the mathematical theory of wave turbulence, which has important applications in plasma physics, nonlinear optics, and oceanography. Specifically, the projects aim to extend the derivation of the wave kinetic equation to longer kinetic times (Project A), generalize the derivation to cover the full range of conjectured scaling laws (Project B), and consider the wave turbulence problem for water waves (Project C). Additionally, the award supports research on Gibbs and other invariant measures in statistical physics and quantum field theory, including the Gibbs measure for the 2D hyperbolic sine-Gordon equation (Project D) and the invariance of the white noise measure for the one-dimensional cubic nonlinear Schrödinger equation (Project E). The research is expected to promote interdisciplinary interactions and contribute to maintaining diversity in STEM disciplines at the University of Chicago.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $176.4k | 5/21/25 |