Project Grant 2530465
- 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...
- This Project Grant award of $150,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into the asymptotic behavior of partial differential equations (PDEs) across a range of scientific applications. The Principal Investigator (PI) will investigate long-term propagation and front structure in reaction-diffusion equations, analyze limits of stochastic PDEs in physical systems, and study the effects of viscosity on shock...
- 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 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 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...
- 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 $176,355 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on dispersive and wave equations at the University of Chicago. The award funds five research projects (A-E) focused on advancing the mathematical theory of wave turbulence, which has important applications to plasma physics, nonlinear optics, and oceanography. Key objectives include extending the short kinetic time derivation of the...
- This $225,329 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports research on stochastic partial differential equations (SPDEs) and their applications. The 5-year project, beginning on July 1, 2025, will investigate critical challenges in SPDE theory, including the stochastic heat equation, the parabolic Anderson model, and the Kardar-Parisi-Zhang equation under conditions of rough initial data and diverse...
- 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...
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 support of the damping that is equivalent to exponential energy decay. Techniques from microlocal analysis, semigroup theory, functional analysis, and spectral theory will be used. The research will provide training opportunities for undergraduate and graduate students and contribute to understanding energy decay in mechanical systems affected by unwanted vibrations. The award period is from September 1, 2025 to August 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $225.7k | 8/8/25 |