Project Grant 2600717
- 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 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 National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program provides $300,000 to Florida International University to advance the understanding of nonlinear dispersive partial differential equations (PDE). The research focuses on exploring the formation, stability, and interaction of coherent structures such as solitons, vortices, and singularities in these mathematical models, which have applications across fields...
- The National Science Foundation (NSF) awarded a $302,028 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of California, Berkeley (UC Berkeley) to conduct fundamental research on nonlinear hyperbolic and dispersive partial differential equations (PDEs) arising in physics. The 3-year project, spanning from July 2025 to June 2028, aims to deepen the rigorous mathematical understanding of these PDEs by investigating key problems...
- This $231,575 Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The overarching goal of the project is to establish stability results for solitons, further study their dynamics, and understand the soliton resolution conjecture for general solutions to dispersive equations. The research will utilize techniques from partial differential equations, harmonic analysis, asymptotic analysis, dynamical...
- 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 $210,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research into the connections between geometry, analysis, and algebra that can be expressed through nonlinear partial differential equations. The research aims to develop new analytical techniques for studying canonical shapes, structures, and properties of geometric spaces and manifolds. This includes investigating special Lagrangian...
- This $300,000 federal Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental mathematical and computational research on complex stochastic systems with infinite degrees of freedom. The project aims to develop new theoretical frameworks and analytical techniques for studying the asymptotic behavior of stochastic partial differential equations (SPDEs) with multiple scales and conservation laws. The...
- This $299,863 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on integrable nonlinear waves and related topics. The research at the University of Michigan aims to uncover new solutions of integrable equations with applications in areas such as marine engineering and condensed matter physics. Key activities include establishing long-time asymptotics for the Benjamin-Ono equation,...
- 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 $235,139 federal Project Grant award, funded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), supports research on multi-soliton dynamics for dispersive partial differential equations. The project aims to advance the fundamental understanding of wave propagation and behavior across various physical systems, from microchips to black holes. Key research activities include studying the long-time dynamics of solutions to nonlinear wave and dispersive equations, with a focus on modeling and analyzing solitons - localized solitary waves exhibiting particle-like properties. The project also provides research training opportunities for undergraduate students, graduate students, and postdoctoral researchers. The award was made to the University of Maryland, College Park, a prominent research-intensive university with extensive expertise in domains such as quantum computing, space exploration, and advanced materials research.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $235.1k | 12/8/25 |