Project Grant 2452972
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $292,823 in funding from August 1, 2022 to July 31, 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports research and training at the University of Chicago on nonlinear partial differential equations with stochastic dependence, homogenization in random media, well-posedness in singular domains, mean-field games, and convergence of growth models. Key areas of...
- This Project Grant award of $150,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into the asymptotic behavior of partial differential equations (PDEs) across a range of scientific applications. The Principal Investigator (PI) will investigate long-term propagation and front structure in reaction-diffusion equations, analyze limits of stochastic PDEs in physical systems, and study the effects of viscosity on shock...
- This $268,602 federal Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports an interdisciplinary research project led by the Regents of the University of Michigan. The research aims to develop new mathematical tools based on partial differential equations (PDEs) and apply them to address practical challenges in mathematical finance and game theory. Key focus areas include: 1) using infinite-dimensional PDEs to demonstrate...
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research aimed at advancing the mathematical analysis of nonlinear partial differential equations. The research has three main focus areas: (1) studying fluid dynamics problems with free boundaries, such as water waves, tsunamis, and hurricanes; (2) investigating the dynamics of gases and plasmas under physical kinetic boundary conditions,...
- This $200,000 Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports a collaborative research project to develop novel mathematical theories and computational methods for efficiently solving high-dimensional partial differential equations (PDEs) and learning solution operators using deep neural network-based approaches. The key objectives are to: 1) propose a supervised learning...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $236,282 to the University of Kansas Center for Research Inc. to study the dynamics of partial differential equations (PDEs) in bounded domains. The project will yield a universal methodology for analyzing PDEs in one and higher spatial dimensions, addressing fundamental questions about the existence, uniqueness, and stability of solutions. It will...
- This $225,329 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports research on stochastic partial differential equations (SPDEs) and their applications. The 5-year project, beginning on July 1, 2025, will investigate critical challenges in SPDE theory, including the stochastic heat equation, the parabolic Anderson model, and the Kardar-Parisi-Zhang equation under conditions of rough initial data and diverse...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) in the amount of $252,563 supports research on several nonlinear partial differential equations with important applications in science, economics, engineering, meteorology, and physics. Specifically, the project investigates "singular higher-order linearized Monge-Ampère type equations with drifts" which have connections to areas like analysis, geometry,...
- This federal Project Grant award in the amount of $300,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) advances the understanding of nonlinear dispersive partial differential equations (PDEs), which serve as mathematical models for wave phenomena in diverse scientific domains. The research focuses on exploring fundamental questions related to the formation, stability, and interaction of coherent structures like solitons, vortices,...
- This $176,355 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on dispersive and wave equations at the University of Chicago. The award funds five research projects (A-E) focused on advancing the mathematical theory of wave turbulence, which has important applications to plasma physics, nonlinear optics, and oceanography. Key objectives include extending the short kinetic time derivation of the...
This Project Grant award of $200,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports a research project that develops methods for the qualitative and quantitative study of nonlinear partial differential equations (PDEs) in finite and infinite dimensional state spaces. The research emphasis is on the theory of mean field games, viscosity solutions techniques, and applications to areas such as traffic models, portfolio selection, filtering, information acquisition, deep learning, and economics. The project aims to advance mathematical methodologies and modeling to study these applications of current interest across diverse scientific and engineering fields. The research will be conducted at the University of Chicago from August 15, 2025 through July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/6/25 |