Project Grant 2452331
- 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 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...
- This federal Project Grant award in the amount of $300,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) advances the understanding of nonlinear dispersive partial differential equations (PDEs), which serve as mathematical models for wave phenomena in diverse scientific domains. The research focuses on exploring fundamental questions related to the formation, stability, and interaction of coherent structures like solitons, vortices,...
- This $176,355 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on dispersive and wave equations at the University of Chicago. The award funds five research projects (A-E) focused on advancing the mathematical theory of wave turbulence, which has important applications to plasma physics, nonlinear optics, and oceanography. Key objectives include extending the short kinetic time derivation of the...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $199,995.00 to support research on emergent phenomena in nonlinear wave models. The project aims to develop mathematical tools to characterize anomalous behavior and long-time evolution of nonlinear waves, with applications in hydrodynamics and optical telecommunications. Key focus areas include identifying mechanisms behind slow decay in integrable wave...
- 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 Division of Mathematical Sciences awarded $270,000 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to Northwestern University from July 1, 2021 to June 30, 2024. The Project Grant funding will support research into Linear Partial Differential Equations on Singular Spaces. The Mathematical and Physical Sciences program aims to strengthen the nation's scientific enterprise through advancing knowledge and understanding of major...
- This National Science Foundation project grant of $428,169 supports research in harmonic analysis and partial differential equations at the University of Illinois from August 2022 through July 2025. The award is funded through the Mathematical and Physical Sciences program (CFDA 47.049). The project involves foundational research in harmonic analysis and analysis of partial differential equations with a focus on long-time dynamical properties and decay estimates. Specific areas of study...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $303,694 to the University of Wisconsin - Madison to conduct research related to mathematical models that describe phenomena in physics, such as the propagation of electromagnetic and acoustic waves. The goal is to develop new analytical tools with applications to other disciplines like probability and random matrix theory. The principal investigator will...
- This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $232,812 to The Johns Hopkins University from July 1, 2022 to June 30, 2025 to improve understanding of dispersive partial differential equations. Key products include research on the long-time behavior of solutions to critical scaling equations like the Schrödinger maps problem and focusing/mass-critical nonlinear Schrödinger equation. Additional work will analyze energy...
This $200,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) supports research on linear partial differential equations in settings with singular spaces, such as wave propagation in discontinuous media. The principal investigator at Northwestern University will investigate fundamental questions regarding the behavior of wavefunctions in quantum mechanics and acoustic waves in media with non-smooth properties, as well as the scattering of internal waves in the ocean over variable bottom topography. The project provides research training opportunities for graduate students and postdoctoral scholars and has the potential to lead to improved design of quantum devices, better control of acoustic waves, and enhanced understanding of ocean mixing processes. The award period runs from August 15, 2025 to July 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/14/25 |