Project Grant 2153794
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $209,496 Project Grant to the University of Central Florida Board of Trustees Office of Research, doing business as UCF, to conduct research on nonlinear wave interactions and soliton gases in integrable dispersive partial differential equations. The three-year grant, awarded from September 1, 2023 to August 31, 2026, aims to advance the analytical and statistical modeling of soliton gas dynamics, analyze the...
- The National Science Foundation (NSF) awarded a $176,355 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Chicago on May 15, 2025. The grant supports five research projects (A-E) that study fundamental questions about dispersive and wave equations by introducing ideas from probability theory. The key products and services to be delivered include: Advancing the mathematical theory of wave turbulence, which has important applications to plasma...
- This $343,401 Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports research on nonlinear dispersive flows at the University of Wisconsin-Madison. The primary objective is to examine solutions to a broad class of nonlinear wave equations that model physical phenomena in fields such as fluid dynamics, quantum mechanics, and general relativity. The research will investigate...
- This $388,536 project grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences, under the Mathematical and Physical Sciences (CFDA 47.049) program, supports fundamental research at the University of Massachusetts (UMass) to study the propagation of randomness in nonlinear wave phenomena. The key objectives of the 3-year project are to: Analyze the long-term dynamics and stability of dispersive flows from a probabilistic perspective in energy subcritical regimes....
- 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 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 $200,000 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research at Northwestern University on linear partial differential equations in singular spaces. The principal investigator will address fundamental questions about wave propagation in settings with discontinuous media, such as how sound waves resonate in mediums with varying sound speeds, how quantum particles are affected by discontinuities in...
- This $282,599 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences will support research into validated numerical methods for studying the stability of nonlinear wave phenomena. The investigators will focus on establishing the stability of periodic traveling wave solutions to various Hamiltonian partial differential equations (PDEs), including the generalized Korteweg-de Vries (KdV) and nonlinear Schrödinger equations. Key objectives include...
- This $224,621 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports research on nonlinear waves and solitons in integrable and non-integrable systems. The principal investigator and their team at The Research Foundation for the State University of New York (RF SUNY), Sponsored Projects Services, will conduct an in-depth investigation into the mathematical properties and physical applications of nonlinear...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $292,823 in funding from August 1, 2022 to July 31, 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports research and training at the University of Chicago on nonlinear partial differential equations with stochastic dependence, homogenization in random media, well-posedness in singular domains, mean-field games, and convergence of growth models. Key areas of...
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 homogenization theory will also be explored. The work builds on the principal investigator's previous accomplishments and aims to advance analysis, geometry, and synergize with engineering and science disciplines such as fluid dynamics, nonlinear optics, and general relativity. Results will be disseminated through publications, conferences, and graduate/postdoctoral training to further mathematical sciences under the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049).
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $295.8k | 4/1/22 |