This $138,009 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports a collaborative research project at New York University (NYU) on the fundamental problems of singularities in 3D incompressible fluid flows and Navier-Stokes equations. The project integrates theoretical mathematical analysis, numerical simulations, and machine learning techniques to advance understanding of fluid flow singularities. The five principal investigators leverage their expertise in areas like mathematical analysis, numerical simulation, and computer-assisted proofs to focus on three key objectives: (1) investigating non-uniqueness of Leray-Hopf solutions for the 3D Navier-Stokes equations, (2) studying formation of singularities in 3D Euler equation solutions, and (3) optimizing physics-informed neural networks. To support these research collaborations, the award will fund student, postdoctoral, and visiting researcher participation, as well as annual workshops and a summer school program.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $138.0k | 12/8/23 |