Project Grant 2510209
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) program seeks to advance the understanding of dynamical systems and the evolution from ordered to chaotic behavior. The $249,103 award to the Research Foundation of the City University of New York, effective July 1, 2024 through June 30, 2026, will support research aimed at developing new conceptual ideas, approaches, and theoretical frameworks to transcend the limitations of...
- 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 of $338,937.00 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on the stability, rigidity, and dynamics of complex mathematical and physical systems. The principal investigator intends to investigate topics such as energy transfer in Hamiltonian systems, instability of equilibria, and KAM (Kolmogorov-Arnold-Moser) stability without transversality conditions. This research will provide...
- 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 $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 federal Project Grant award, valued at $200,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The award funds collaborative research on non-homogeneous harmonic analysis, focused on matrix weights, Banach space valued Calderón–Zygmund operators, and singular integrals on graphs with cycles. The research aims to advance the mathematical understanding of various types of waves, which have broad...
- 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...
- This Project Grant award, with a total funding amount of $166,285, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports the development of new mathematical approaches for analyzing complex bifurcations in high-dimensional dynamical systems. This work aims to enable quantitative and qualitative progress in the study of data-driven, detailed, and phenomenologically-reduced models with complex...
- This $225,697 Project Grant awarded by the National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) supports research on the damped wave equation and how energy decay rates are influenced by time-dependence, unboundedness, and regularity of the damping. The project aims to generalize the classical theory for bounded autonomous damping to unbounded or time-dependent damping, providing a dynamical hypothesis on the...
- This $149,999 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research into techniques for identifying hidden or unknown components in nonlinear differential equation models. The research aims to improve modeling and predictive capabilities for complex physical phenomena, such as fluid flows, turbulence, and weather prediction. The award to the Research Foundation of the City University of New York will provide...
This $225,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on nonlinear oscillator chains and their applications in various scientific and engineering fields. The project aims to study the stochastic stability, thermodynamics, and computational aspects of these nonlinear systems, which serve as simplified models for complex physical processes like ocean turbulence and signal propagation in the brain. The research will focus on investigating the nonequilibrium steady states of these oscillator chain systems and their connection to the Kolmogorov-Zakharov spectrum, a key concept in wave turbulence theory. The work will contribute to advancing the understanding of how energy moves through nonlinear systems and develop new computational tools for analyzing high-dimensional stochastic systems. The project also includes student training activities to help build a capable STEM workforce. This award is held by the University of Massachusetts and runs from September 1, 2025 to August 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $225.0k | 8/15/25 |