Project Grant 2154489
- 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,...
- Brown University will use a $251,420 Project Grant award from the National Science Foundation Division of Mathematical Sciences to conduct collaborative research on nonlinear dynamics and spectral analysis in dispersive partial differential equations from July 15, 2021 to June 30, 2024. The research supports the NSF Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the national scientific enterprise through increasing...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $209,000 to the University of Pittsburgh to support research investigating nonlinear waves in lattices and metamaterials from August 1, 2022 to July 31, 2025. The award aims to advance fundamental understanding of energy transfer phenomena associated with wave propagation in spatially discrete systems, which is important for...
- 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...
- Federal Grant Award Summary Purdue University received a $300,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) for research on nonlinear inverse problems, awarded August 1, 2025, with completion targeted for July 31, 2028. The project delivers fundamental research and scientific knowledge across three primary research domains: (1) recovery of Lorentzian metrics from measurements of light and particle propagation observed on timelike...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support research focused on geometric inverse problems and dynamics. The $335,956 award to the University of Washington will center on the study of inverse problems involving transport-type partial differential equations, with applications in areas like X-ray computed tomography, geophysical prospection, and parameter identification for PDEs. The project will...
- This three-year, $295,778 Project Grant from the National Science Foundation's Division of Mathematical Sciences will support research addressing long-standing problems in the nonlinear propagation of waves. The principal investigator and collaborators at the University of Chicago will conduct mathematical studies of soliton resolution for energy critical nonlinear wave equations and related models, both with and without symmetries. Quantitative unique continuation properties with connections to...
- This three-year National Science Foundation Project Grant of $168,087 will support research into nonlinear wave models in bounded domains. The principal investigator and their team at the University of Kansas Center for Research will develop a methodology for analyzing the behavior of dispersive equations modeling optical and water wave phenomena in confined regions. They will provide tools to understand novel behaviors and design physical and numerical experiments. Three research components are...
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded a $190,838 project grant to Purdue University on July 15, 2021 with a completion date of June 30, 2024. The grant supports research titled "NEW SAMPLING ALGORITHMS AND INVERSE SPECTRAL METHODS IN SCATTERING" under the Mathematical and Physical Sciences program (CFDA 47.049). This project aims to develop new sampling algorithms and inverse spectral methods for scattering problems. The Mathematical and Physical...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $432,301 to Purdue University to study nonlinear wave phenomena and related inverse problems from June 1, 2022 to May 31, 2025. The grantee will analyze propagation of waves for nonlinear optics, acoustics, and elasticity phenomena described by quasilinear partial differential equations. They will exploit specific natures of these models combined with physics intuition to explain the DC and AC Kerr effects for nonlinear Maxwell's equations. The grantee will also study associated inverse problems of recovering medium parameters from remote observations, and propagation of elastic and pressure waves in liquid-solid media inspired by models of the Earth's interior. Finally, they will research sampling and discretization of the geodesic X-ray transform and similar Radon transforms relating sampling requirements to semiclassical wavefront sets.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $432.3k | 4/1/22 |