Project Grant 2350129
- The National Science Foundation (NSF) awarded a $689,835 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Brown University. The grant, with a performance period from December 1, 2024 to November 30, 2027, supports research focused on developing machine learning approaches for solving long-standing open problems in nonlinear partial differential equations, including dispersive, elliptic, and geometric frameworks. The project aims to unlock new mathematical...
- 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 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000 to Brown University to advance the understanding of nonlinear dispersive partial differential equations (PDEs). The research explores fundamental questions in the analysis of nonlinear dispersive systems, with a focus on the formation and long-time dynamics of coherent structures such as solitons, vortices, and singularities in contexts where...
- This Project Grant award, funded by the National Science Foundation's (NSF) Integrative Activities program (CFDA 47.083), provides $234,669.00 to the University of Nebraska-Lincoln to support a research fellowship for an assistant professor and training for a graduate student. The project, conducted in collaboration with Brown University, will focus on mathematical analysis of prominent partial differential equations in fluid mechanics and mathematical physics. Specifically, the principal...
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded Brown University a $300,000 project grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will fund research into regularity questions in linear and nonlinear partial differential equations from July 15, 2021 to June 30, 2024. As part of the Mathematical and Physical Sciences program's goal of strengthening the nation's scientific enterprise through increased understanding of...
- Brown University received a $400,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The award will fund research from July 1, 2023 through June 30, 2026 to develop efficient numerical methods for solving partial differential equations. Specifically, Brown University researchers will investigate algorithm development, analysis and application of high-order numerical methods including...
- 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,...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $400,000 Project Grant to Duke University on August 1, 2023 under the Mathematical and Physical Sciences program (CFDA 47.049) to support innovative numerical methods for solving high-dimensional partial differential equations (PDEs). The key objectives of the 3-year project are to: (1) design and analyze neural-network parametrization for high-dimensional functions with symmetry constraints, and (2) develop and...
- 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,...
The National Science Foundation's (NSF) Integrative Activities (IA) program, Assistance Listing 47.083, has awarded a $160,000 Project Grant to Brown University to conduct research on partial differential equations (PDEs) commonly encountered in physics and engineering. The project, running from July 1, 2024 to June 30, 2027, will focus on developing new methods to study elliptic PDE equations in composite materials, explore the regularity of solutions to the one-phase Muskat problem in fluid dynamics, and investigate boundary regularity and stability of linear and nonlinear kinetic equations. This research aims to advance the understanding of phenomena like material deformation, electricity conduction, and plasma behavior in extreme conditions. The project also provides research training opportunities for graduate students.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $160.0k | 4/2/24 |