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...
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 (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...
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....
Brown University was awarded a $331,275 Project Grant from the National Science Foundation Division of Mathematical Sciences on September 1, 2021, with a completion date of July 31, 2023. The award is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. Under this award, Brown University will research the existence and regularity of solutions to variational problems in...
The National Science Foundation Division of Mathematical Sciences awarded Brown University a $350,000 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for the period of July 1, 2021 through June 30, 2024. The grant funds research on spiral waves and target patterns, to promote progress in the mathematical and physical sciences as outlined under the CFDA program. The research is being conducted at Brown University in Providence, Rhode Island and...
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,...
Brown University was awarded a $277,225 project grant from the National Science Foundation Division of Mathematical Sciences on August 1, 2021 to complete work by July 31, 2024. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the nation's scientific enterprise through advancing knowledge and understanding of major problems. Specifically, Brown University will conduct research relating to renormalization group flows, embedding theorems,...
The National Science Foundation Division of Mathematical Sciences awarded Brown University a $454,629 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to support research on Variational Methods in Singular Geometry from August 15, 2021 through July 31, 2024. Brown University will utilize the funding to advance scientific understanding of major problems confronting the nation through research that promotes progress in the mathematical and physical...
This $432,460 National Science Foundation project grant supports research at Brown University from June 2022 to May 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The research aims to advance the theory of singular integrals in non-smooth settings through consideration of weighted norm estimates, spectral theory, and dimension reduction techniques. Specifically, the project will characterize boundedness for singular operators on graphs and matrices, address the...