Project Grant 2452781
- 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,...
- Brown University will use a $251,420 Project Grant award from the National Science Foundation Division of Mathematical Sciences to conduct collaborative research on nonlinear dynamics and spectral analysis in dispersive partial differential equations from July 15, 2021 to June 30, 2024. The research supports the NSF Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the national scientific enterprise through increasing...
- 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 $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 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...
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded Brown University a $401,152 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to develop Hamiltonian methods for modeling dispersive fluids and plasmas. Over the three-year period from July 2022 to June 2025, Brown University researchers will conduct qualitative and quantitative studies of partial differential equations describing fluid motions in galaxies, gases, and plasmas....
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $302,028 to the University of California, Berkeley (UC Berkeley) to conduct research on nonlinear partial differential equations (PDEs) and their applications in physics. The key objectives of the project are to deepen the understanding of nonlinear hyperbolic and dispersive PDEs, which are fundamental to describing natural phenomena across scales. The...
- 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 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $232,812 to The Johns Hopkins University from July 1, 2022 to June 30, 2025 to improve understanding of dispersive partial differential equations. Key products include research on the long-time behavior of solutions to critical scaling equations like the Schrödinger maps problem and focusing/mass-critical nonlinear Schrödinger equation. Additional work will analyze energy...
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 classical assumptions are relaxed. The work develops and applies techniques from nonlinear Fourier analysis, spectral theory, and dispersive PDE to enhance the theoretical foundation of applied scientific disciplines, including areas such as optics, fluid dynamics, quantum gases, and plasma physics. The award supports the training of junior researchers and fosters broader impacts through cross-institutional student mentoring. The project period runs from August 1, 2025 to July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 7/18/25 |