Project Grant 2509146
- 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...
- 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 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program is supporting research by The Trustees of Columbia University in the City of New York to advance the theoretical understanding of partial differential equations, free boundary problems, and related mathematical concepts. The $273,927 award, with a performance period from July 1, 2024 to June 30, 2027, focuses on developing new methods and regularity theories for specific...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $400,000 Project Grant to Duke University on August 1, 2023 under the Mathematical and Physical Sciences program (CFDA 47.049) to support innovative numerical methods for solving high-dimensional partial differential equations (PDEs). The key objectives of the 3-year project are to: (1) design and analyze neural-network parametrization for high-dimensional functions with symmetry constraints, and (2) develop and...
- 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 $102,609 award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports a research project at the University of Wisconsin-Madison on partial differential equation (PDE) analysis of thin filament hydrodynamics. The project aims to (1) develop the PDE theory for a free boundary problem coupling quasi-1D filament dynamics with 3D fluid background, providing mathematical justification for computational models of immersed filament dynamics,...
- This $216,000 Project Grant award from the National Science Foundation (NSF) Integrative Activities program (CFDA 47.083) supports a comprehensive research initiative led by Oklahoma State University (OSU) to investigate the steady states and stability of nonlinear partial differential equations (PDEs) in fluids and interacting particle systems. The primary goals are to develop an analytical framework for understanding the existence, singular behavior, and stability of these steady states, which...
- This $268,602 federal Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports an interdisciplinary research project led by the Regents of the University of Michigan. The research aims to develop new mathematical tools based on partial differential equations (PDEs) and apply them to address practical challenges in mathematical finance and game theory. Key focus areas include: 1) using infinite-dimensional PDEs to demonstrate...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $302,028 to the University of California, Berkeley (UC Berkeley) to conduct research on nonlinear partial differential equations (PDEs) and their applications in physics. The key objectives of the project are to deepen the understanding of nonlinear hyperbolic and dispersive PDEs, which are fundamental to describing natural phenomena across scales. The...
This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $236,282 to the University of Kansas Center for Research Inc. to study the dynamics of partial differential equations (PDEs) in bounded domains. The project will yield a universal methodology for analyzing PDEs in one and higher spatial dimensions, addressing fundamental questions about the existence, uniqueness, and stability of solutions. It will develop new analytical and computational tools to study boundary-influenced behavior in systems modeled by PDEs, such as those arising in fluid dynamics, hydrodynamics, and other applied mathematics domains. The award supports the training of undergraduate and graduate students, contributing to the development of the next generation of mathematicians. The project runs from September 1, 2025 through August 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $236.3k | 8/14/25 |