Project Grant 2511086
- 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 (NSF) awarded a $299,213 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to The Trustees of Princeton University to study the dynamics and stability of solutions to important partial differential equations that describe classical systems in applied mathematics and physics, such as incompressible fluids, geophysical flows, plasma, and water waves. The 3-year award, effective July 1, 2024, will establish...
- 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...
- 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 into the asymptotic behavior of partial differential equations (PDEs) across a range of scientific applications. The Principal Investigator (PI) will investigate long-term propagation and front structure in reaction-diffusion equations, analyze limits of stochastic PDEs in physical systems, and study the effects of viscosity on shock...
- 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 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 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000 to the University of Pittsburgh to analyze nonlinear partial differential equations (PDEs) that govern fluid flows and related phenomena. The research aims to advance the mathematical understanding of multi-dimensional conservation laws and their applications in fluid dynamics and geometry, with a focus on four core problems: (1) the transonic...
- The National Science Foundation (NSF) awarded a $299,998 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to Georgia Tech Research Corporation to conduct fundamental research on the dynamics of nonlinear partial differential equation (PDE) systems that model fluid flow and nonlinear waves. The research will focus on analyzing the local dynamics near steady states in incompressible fluid PDEs with free surfaces, as well as a class of nonlinear...
- This federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $145,000.00 in funding to Florida State University (FSU) to investigate instabilities in incompressible fluid flows. The principal investigator will study new scenarios in which steady fluid flows can become unstable due to small disturbances, examining both linear and nonlinear instabilities. This includes analyzing axisymmetric flows in three...
- 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...
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 the water wave problem modeled by the Euler equations. The award aims to advance fundamental knowledge in these areas, which have wide-ranging applications in physics, biology, and engineering. The award period runs from August 15, 2025, to July 31, 2028, and the work will be performed at Princeton University.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 8/14/25 |