Project Grant 2510073
- 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 $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 $270,000 Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, will support two research programs related to the mathematical theory of fluids, gases, and plasmas. The first program will examine non-uniqueness phenomena and instability in nonlinear partial differential equations, particularly those used in modeling incompressible fluid mechanics. The second program will investigate the structure of shock...
- The National Science Foundation awarded North Carolina State University a three-year, $368,594 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new mathematical and computational tools for nonlinear hyperbolic systems of partial differential equations. The university will use the funding to design efficient high-order numerical methods for conservation and balance laws that go beyond consistency, stability, and convergence. Key activities include...
- This Project Grant award, with a total funding amount of $166,285, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports the development of new mathematical approaches for analyzing complex bifurcations in high-dimensional dynamical systems. This work aims to enable quantitative and qualitative progress in the study of data-driven, detailed, and phenomenologically-reduced models with complex...
- 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 Project Grant award of $350,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports the development of robust and efficient numerical algorithms for solving nonlinear wave equations. The project aims to advance fundamental research and enable wide-ranging applications in areas such as geophysics, plasma physics, and quantum science, where accurate wave prediction is critical. The primary computational challenges being addressed...
- The National Science Foundation (NSF) awarded a $630,763 Project Grant under the Engineering program (CFDA 47.041) to Georgia TECH Research Corp, doing business as the Office of Sponsored Programs. The objective of this 3-year project, running from July 1, 2025 to June 30, 2028, is to develop a systematic approach to modeling multiscale fluid dynamics phenomena. This research aims to advance predictive modeling capabilities for applications such as weather forecasting, climate modeling, fusion...
- 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...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $199,999 to Georgia TECH Research Corp to conduct research on several fundamental problems in the theory of hyperbolic balance laws. The research aims to advance the theoretical understanding of nonlinear hyperbolic balance laws, address longstanding open problems, and develop new methodologies for modeling the nonlinear motion of fluid flows. Key research themes include establishing conditions for global existence of smooth solutions, characterizing singular limits in fluid models, and rigorously validating Rayleigh-Taylor type instability in compressible fluids. The project also includes international collaboration and a strong education component focused on training graduate students and early-career researchers. The award period runs from September 1, 2025 to August 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/8/25 |