Project Grant 2245017
Award Date 7/1/23
Completion Date 6/30/26
Dollars Obligated $325K
Federal Agency
Federal Grant Program
Assistance Type
Project Grant
Place of Performance
Providence, RI 02912, USA
Similar Awards
- 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...
- This $265,813 National Science Foundation project grant supports collaborative research on singularities in incompressible flows through computer-assisted proofs and physics-informed neural networks. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the award brings together five principal investigators from leading U.S. research universities to investigate three specific projects: non-uniqueness of Leray-Hopf solutions to the Navier-Stokes equations in three dimensions;...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $608,098 to The Trustees of Princeton University to conduct collaborative research on understanding singularities in incompressible fluid flows. The three-year project (July 1, 2023 to June 30, 2026) integrates theoretical proofs, numerical analysis, and machine learning to investigate the formation of singularities in three-dimensional incompressible Navier-Stokes and...
- This three-year, $226,333 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at Brown University on computer-assisted proofs in fluid mechanics and applications. The award will advance methods for pursuing singularities or global existence in incompressible fluids, and apply techniques to long-standing problems in spectral geometry and mathematical physics. Researchers will utilize numerical computations,...
- This National Science Foundation (NSF) Project Grant award, provided under the Mathematical and Physical Sciences program (CFDA 47.049), supports research focused on understanding regular and singular incompressible fluid flows. The $300,000 award, granted from August 1, 2024 to July 31, 2027, aims to advance the mathematical understanding of solutions to the incompressible Navier-Stokes and Euler equations, particularly in the areas of regularity, uniqueness, and stability. The project...
- Federal Project Grant Award Summary Brown University received a $300,000 project grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025, through July 31, 2028. This collaborative research project advances fundamental understanding of nonlinear dynamics in dispersive partial differential equations (PDEs)—mathematical models that describe wave phenomena across optics, fluid...
- 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 federal Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $159,956 to New York University (NYU) to investigate the potential breakdown mechanism for various fluid dynamics equations, including the incompressible 3D Euler equations. The research aims to determine whether these equations can develop a finite-time singularity from a smooth initial condition with finite energy. The project builds on the principal...
- This Project Grant award of $311,106 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research by Brown University on several important mathematical problems in physics, fluid dynamics, and general relativity. The key research objectives include: Studying the "ghost effect" in heat conduction and constructing dynamical stability for related kinetic models. Developing global solutions for fundamental plasma physics models...
- 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...