Project Grant 2442781
- This federal Project Grant award for $200,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on small-scale dynamics in fluid mechanics. The principal investigator will work to build mathematical foundations for understanding complex fluid phenomena like boundary layers, turbulence, and wave-fluid interactions, which are crucial for applications ranging from vehicle design to weather modeling. The research aims to provide...
- 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 award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $304,779 to the Regents of the University of Minnesota to study the mathematical properties of the Navier-Stokes and Euler equations, which model the flow of fluids like air and water. The project aims to address fundamental open questions in fluid dynamics, such as the stability of coherent flow structures like vortices, and to develop theoretical understanding...
- This Project Grant award of $300,000.00 from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research to study potential singularities in the Navier-Stokes equations, which describe the motion of fluids. The principal investigator at the California Institute of Technology (Caltech) will develop a novel mathematical and computational approach to uncover mechanisms that could lead to singularity formation in the 3D Navier-Stokes...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000 to Duke University to conduct research on fundamental aspects of incompressible fluid dynamics. The key research directions include investigating the formation of singularities in incompressible fluids, studying steady solutions to the Euler equation, and understanding fluid mixing phenomena. This research aims to advance scientific knowledge on the...
- The National Science Foundation (NSF) awarded a $210,000 project grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the University of Arkansas, Fayetteville Division to conduct research on "Robust and Efficient High-Order Algorithms for Fluid Dynamics Simulations: Structure-Preserving Methods and Optimization-Based Limiters." The project will explore the development of high-order accurate, structure-preserving numerical methods for the...
- 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 on problems in fluid dynamics. The principal investigator (PI) will investigate the global stability of solutions to the Peskin problem (modeling blood flow through heart valves) and the Muskat problem (modeling the interaction of immiscible fluids in porous media). Additionally, the PI will construct large-amplitude steady solutions to...
- 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 three-year, $368,549 National Science Foundation Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental mathematical research into free boundaries in fluid mechanics at Carnegie Mellon University. Key products include advancing understanding of contact line dynamics at triple interfaces through verification of a continuum model, as well as constructing and analyzing traveling wave solutions to the viscous Navier-Stokes equations to build on...
- 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...
This Project Grant award of $224,733.00 from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program supports research on the characterization and stability of boundary layers and hydrodynamic stability within the Navier-Stokes equations. The research aims to develop a systematic theory to address the mathematical challenges posed by multiscale phenomena, mixed-type phenomena, and singular perturbations in fluid dynamics. The project, awarded on August 1, 2025 to the University of California, Davis, will run through July 31, 2030. The research outcomes are expected to have significant scientific impacts on applications such as airfoil modeling and submarine nozzle design by enhancing computational algorithms and enabling new modeling approaches for these important fluid flow phenomena.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $224.7k | 7/30/25 |