Project Grant 2605429
- The National Science Foundation awarded a three-year $450,000 Project Grant to Duke University under the Mathematical and Physical Sciences program (CFDA 47.049) beginning July 1, 2023. The grant will support research into small-scale formation in fluid motions and mathematical modeling of chemotaxis. Specifically, the university will analyze fluid mechanics, singularities in solutions to equations modeling weather phenomena and fluids, and the interaction of diffusion, fluid flow and chemotaxis...
- Duke University was awarded a three-year $230,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support collaborative research on dynamics, singularities, and variational structure in models of fluids and clustering from July 1, 2021 to June 30, 2024. As part of its mission to strengthen the Nation's scientific enterprise through advancing mathematical and physical...
- Federal Grant Award Summary Duke University's Office of Research Administration received a $300,000 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of July 1, 2025 through June 30, 2028. The award funds fundamental research into singularities, steady structures, and mixing in incompressible fluid flows—core mathematical and physical phenomena with applications spanning...
- The National Science Foundation Division of Mathematical Sciences awarded Duke University $505,185 on June 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical frameworks for analyzing spatio-temporal mRNA transport and organization in living cells using microscopy data. The project establishes rigorous mathematical theory and quantitative methods for interpreting complex experimental data on messenger RNA and protein dynamics, with emphasis on...
- The National Science Foundation Division of Mathematical Sciences awarded the University of North Carolina at Chapel Hill $350,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mimetic immersed boundary methods for fluid-structure interaction simulation. The project will create improved computational and mathematical tools to simulate systems where fluids and structures influence each other—applications spanning cardiovascular modeling, medical...
- The National Science Foundation (NSF), through its Mathematical and Physical Sciences (CFDA 47.049) federal grant program, awarded the University of California, San Diego (UCSD) a $240,000 Project Grant to study singularities and long-term dynamics in models of fluids and reactive processes. The 3-year project, running from August 2024 to July 2027, will focus on two main objectives: 1) Analyzing the creation of small-scale structures and singularities in fluid dynamics models, including for...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Southern California three hundred thousand dollars on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study the dynamics of compressible fluids and singularity formation in systems governed by nonlinear partial differential equations. The recipient will analyze conditions under which solutions to partial differential equations in compressible fluid dynamics develop...
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded Duke University $235,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new methods for the classification and moduli theory of K-trivial algebraic varieties, with a focus on Calabi-Yau varieties. The project pursues three complementary research directions using tools from the minimal model program, Hodge theory, and positive characteristic birational geometry, with the...
- 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...
The National Science Foundation Division of Mathematical Sciences awarded Duke University $300,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct foundational research on small-scale creation and singularities in fluids and chemotaxis modeling. The project investigates fundamental questions in fluid mechanics, including singularity formation in solutions of two-dimensional incompressible Euler equations, small-scale structure emergence in two-dimensional turbulence, and flow dynamics in porous media. The work examines how fluid advection disperses chemotactic aggregation and analyzes the effects of chemotaxis on biological processes such as immune system function and cellular reproduction. The investigator will derive scaling laws demonstrating how chemotaxis enables these processes and study efficiency dependencies on environmental parameters and geometry. Training of graduate students and postdoctoral researchers is an integral component of the project. Performance is located in Durham, North Carolina. The period of performance runs through July 31, 2028. This is a Project Grant, a form of direct assistance funding.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 8/6/26 |