Project Grant 2605395
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) awarded $210,000 to the University of Arkansas, Fayetteville, effective September 1, 2025, through August 31, 2028, to develop robust and efficient high-order algorithms for Navier-Stokes (NS) equation simulations. The project delivers advanced structure-preserving numerical methods that maintain fundamental physical principles—including conservation laws, solution bounds, and...
- The National Science Foundation Division of Mathematical Sciences awarded Purdue University $200,000 on September 1, 2026, for mathematical research across fluid dynamics, kinetic theory, and quantum field theory under the Mathematical and Physical Sciences program (CFDA 47.049). The research will develop mathematical understanding of partial differential equations governing large-scale physical behavior in systems underlying weather prediction, aerodynamics, plasma physics, and materials...
- The National Science Foundation Directorate for Mathematical and Physical Sciences awarded Tulane University $219,999 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in asymptotic analysis, probability theory, and Riemann-Hilbert problems with application to understanding extreme events in complex systems. The project investigates how large-scale, unexpected events arise in mathematically governed systems, including rogue waves modeled...
- The National Science Foundation Division of Mathematical Sciences awarded New York University a $435,000 Project Grant titled "GEOPHYSICAL WAVE-VORTEX INTERACTIONS AND TURBULENCE" under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year award beginning September 1, 2021 will support research exploring geophysical wave-vortex interactions and turbulence. The Mathematical and Physical Sciences program aims to promote progress in mathematics and physical sciences...
- 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 $204,884 Project Grant award from the National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences (CFDA 47.049) supports research by Towson University to study various subgrid scale turbulence models and their connections to the Navier-Stokes equations. The research aims to explore the mathematical properties of these turbulence models, apply data assimilation algorithms, and leverage deep learning methods for parameter estimation. Key focus areas include...
- The National Science Foundation Division of Mathematical Sciences awarded The Research Foundation for the State University of New York $219,478 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop efficient, high-order accurate numerical schemes for computing the long-term statistical behavior of chaotic complex systems. The project addresses the computational challenge of predicting statistical patterns in systems where precise long-term trajectories...
- 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...
- 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...
- This project grant, awarded September 1, 2025, by the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), provides $304,779 in federal funding to the University of Minnesota through August 31, 2028. The grant supports fundamental theoretical research on hydrodynamic stability and regularity for the incompressible Euler and Navier-Stokes equations, which model fluid flows such as air and water. The primary...
The National Science Foundation Division of Mathematical Sciences awarded the University of Arkansas $210,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate asymptotic properties of steady Navier-Stokes flows and their application to predicting fluid behavior in weather forecasting, aerospace engineering, and geophysics. The investigator will explore the extent to which steady-state solutions such as tornado models describe macro-scale behavior of larger fluid flow classes. Research activities include examining dynamic stability of multi-cell vortex models with updraft and downdraft zones; investigating existence and stability properties of singular stationary solutions with physically motivated boundaries; exploring prevalence of viscous eddies in corner Navier-Stokes flows; and analyzing super-critically singular solutions to establish conditions under which Euler equations determine the leading-order structure of viscous flows, with connections drawn to forecasting predictability. The project includes workforce development through student mentoring and public outreach to strengthen connections between the mathematical community and the public. Performance occurs at the University of Arkansas, Fayetteville, with a period of performance from September 1, 2026, through August 31, 2029. The award is a Project Grant with no subawards planned.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $210.0k | 7/16/26 |