Project Grant 2508767
- 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 $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 $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 $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...
- 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 Project Grant award, valued at $370,000.00, was provided by the National Science Foundation (NSF) through its Mathematical and Physical Sciences (CFDA 47.049) program. The grant supports fundamental and applied research to advance the understanding of random matrices, which have significant applications across physics, data science, and mathematics. The key objectives of this award are to: (1) develop new probabilistic techniques for the analysis of random matrix models and their...
- This $180,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) will investigate open problems at the intersection of probability theory and physics, with the goal of developing new techniques for studying the Anderson transition - a concept in condensed matter physics describing a sharp change in material properties from conducting to insulating behavior. The project aims to establish a rigorous mathematical...
- 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 $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 award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports a theoretical study at the interface of nonlinear wave formation, random matrices, and statistical mechanics. The $195,000 award to Emory University aims to analyze the asymptotic behaviors and critical phenomena of integrable systems, with a focus on studying the universality properties that arise in these models. Key applications include growth phenomena, polymers, optical fibers, superconductors, and fluid dynamics, particularly in understanding rogue waves and turbulence. The project runs from August 1, 2025 through July 31, 2028 and seeks to resolve open questions in these interdisciplinary research areas using classical tools and new approaches developed by the principal investigator.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $195.0k | 7/31/25 |