Project Grant 2108749
- This Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research to investigate the stability and dynamics of spatially periodic solutions to nonlinear partial differential equations. The $220,000 award to the University of Kansas Center for Research Inc. aims to study the modulational stability of periodic wave patterns and develop new analytical techniques to understand their behavior under perturbations....
- This three-year National Science Foundation Project Grant of $168,087 will support research into nonlinear wave models in bounded domains. The principal investigator and their team at the University of Kansas Center for Research will develop a methodology for analyzing the behavior of dispersive equations modeling optical and water wave phenomena in confined regions. They will provide tools to understand novel behaviors and design physical and numerical experiments. Three research components are...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $236,282 to the University of Kansas Center for Research Inc. to study the dynamics of partial differential equations (PDEs) in bounded domains. The project will yield a universal methodology for analyzing PDEs in one and higher spatial dimensions, addressing fundamental questions about the existence, uniqueness, and stability of solutions. It will...
- 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 $282,599 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences will support research into validated numerical methods for studying the stability of nonlinear wave phenomena. The investigators will focus on establishing the stability of periodic traveling wave solutions to various Hamiltonian partial differential equations (PDEs), including the generalized Korteweg-de Vries (KdV) and nonlinear Schrödinger equations. Key objectives include...
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded a $219,999 Project Grant to The Research Foundation For The State University Of New York to support the project "NOVEL CHALLENGES IN NONLINEAR WAVES AND INTEGRABLE SYSTEMS" from July 15, 2021 through June 30, 2024. The grant supports research into major problems confronting the Nation within the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen...
- 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 University of Kansas Center for Research Inc. received a three-year $234,974 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program to conduct research on the stability, uniqueness, and existence of solutions to hyperbolic conservation laws and nonlinear wave equations. Specifically, the Center will analyze the long-term behavior of strong shock wave solutions to the compressible Euler system, a model for gas dynamics. It will also study singularity...
- 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...
The National Science Foundation Division of Mathematical Sciences awarded a $198,000 Project Grant to the University of Kansas Center for Research Inc. for the project "Modulations of Periodic Waves in Applied Mathematics" from September 1, 2021 to August 31, 2024. The grant is being used to support research into modulations of periodic waves in applied mathematics under the Mathematical and Physical Sciences program (CFDA 47.049). This program aims to promote progress in the mathematical and physical sciences to strengthen the nation's scientific enterprise through increasing scientific knowledge and enhancing understanding of major problems facing the nation. The University of Kansas Center for Research Inc. will leverage the three-year funding to conduct mathematical research and analysis of periodic wave modulations, advancing scientific knowledge in this area.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $198.0k | 7/8/21 |