Project Grant 2204880
- 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 Project Grant award of $275,000 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at Columbia University focused on developing analytical and computational methodologies for predicting phenomena in novel quantum materials and metamaterials. The Principal Investigator aims to advance the understanding of wave propagation and nonlinear interaction dynamics in these materials, with a focus on topics including energy transport in...
- 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 award provides $249,901 in funding to the University of Massachusetts Lowell under the Engineering program (CFDA 47.041) from September 1, 2022 through August 31, 2025. The funding supports fundamental research on consistent treatment of boundaries and interfaces in metamaterials. A multi-disciplinary team will perform theoretical and computational analysis of transition layers and use inverse design principles to create devices that control propagation of...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $253,285 to the University of Pittsburgh to support research seeking to advance the mathematical theory of free-surface water waves and compressible fluids governed by the Euler equations. Over a three-year period from September 1, 2022 through August 31, 2025, the University of Pittsburgh will conduct research to develop new or...
- 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,...
- The National Science Foundation's Mathematical and Physical Sciences Program (CFDA 47.049) awarded a $134,001 Project Grant to the Kennesaw State University Research And Service Foundation, Inc. to support research on nonlinear waves in discrete heterogeneous media. The grant, awarded on August 15, 2024, will run through July 31, 2027. The project will develop and refine the mathematical theory of waves in discrete, heterogeneous media by studying more complicated dimensions of material...
- 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 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 from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $209,000 to the University of Pittsburgh to support research investigating nonlinear waves in lattices and metamaterials from August 1, 2022 to July 31, 2025. The award aims to advance fundamental understanding of energy transfer phenomena associated with wave propagation in spatially discrete systems, which is important for designing novel mechanical metamaterials. The research program involves analytical and numerical approaches to study traveling transition waves, and will address open questions in the dynamics of such waves. Insights gained from the research could enable applications in soft robotics, morphing surfaces, and reconfigurable devices.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $209.0k | 7/25/22 |