Project Grant 2348908
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded $303,694 to the University of Wisconsin-Madison on July 15, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to support fundamental research in analysis and spectral theory through June 30, 2028. The project delivers rigorous mathematical analysis of models describing wave propagation phenomena in physics, including electromagnetic and acoustic waves, with...
- 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,...
- The National Science Foundation (NSF) awarded a $333,182 Project Grant through its Mathematical and Physical Sciences (CFDA 47.049) program to the University of Wisconsin - Madison. This grant supports research at the interface of several complex variables, differential geometry, and dynamical systems. The project aims to study the smoothness of transformations on complex-valued function domains, analyze resonance phenomena and singularities, and investigate the stability of holomorphic...
- Federal Project Grant Award Summary The University of Wisconsin-Madison received a $200,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for the period July 1, 2025 through June 30, 2027. The project conducts fundamental mathematical research on growth and motion in random media, including first-passage percolation, corner growth models, and directed polymer models. The primary...
- 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....
- Federal Project Grant Award Summary The University of California, Berkeley received a $300,000 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective July 1, 2026 through June 30, 2028. The award funds fundamental research on strongly nonlinear dispersive flows, focusing on mathematical principles governing wave propagation and interaction in complex physical systems. The research...
- This $186,811 Project Grant was awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences to Georgetown University on September 1, 2024. The grant supports research on "Analytical Challenges Near Dynamical Thresholds for Nonlinear Wave and Fluid Equations" over a 3-year period through August 31, 2027. The research aims to develop a deeper understanding of the mathematical behavior of partial differential equations that model a variety of physical systems,...
- This $335,000 project grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in harmonic analysis and approximation theory conducted by the University of Wisconsin - Madison. The key objectives are to: (1) Investigate the regularity properties and boundedness of certain averaging operators over sub-manifolds and maximal operators on nilpotent groups within harmonic analysis. (2) Study local smoothing...
- Federal Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded the University of Wisconsin-Madison a five-year CAREER grant totaling $106,928 on June 1, 2025, through the Mathematical and Physical Sciences program (CFDA 47.049). The award funds fundamental research at the intersection of geometry, dynamical systems, and group theory, with four primary research objectives: proving the singularity conjecture for Cannon-Thurston maps; studying free group...
- This $114,216 Project Grant was awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds a research project at Oregon State University focused on understanding the long-time dynamics and evolutionary behavior of dispersive systems, which have applications in areas like numerical simulations, optics, condensed matter, fluid mechanics, and biology. The project consists of three main...
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 short-time existence theory, wave breakdown, and long-time wave persistence and dispersion, with a focus on the impact of initial data properties. This award reflects NSF's mission to advance scientific knowledge and will provide research training opportunities for graduate students. No sub-awards are planned under this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $343.4k | 4/2/24 |