Project Grant 2510069
- 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...
- 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,...
- 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...
- 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 $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 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 $125,000 three-year Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), will support collaborative research between U.S. and U.K. mathematicians to develop innovative methods for analyzing the stability of nonlinear partial differential equations across scales. The research focuses on four objectives: stability analysis of shock wave patterns including gas dynamics problems; stability...
- 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 (NSF) awarded a $299,998 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to Georgia Tech Research Corporation to conduct fundamental research on the dynamics of nonlinear partial differential equation (PDE) systems that model fluid flow and nonlinear waves. The research will focus on analyzing the local dynamics near steady states in incompressible fluid PDEs with free surfaces, as well as a class of nonlinear...
- 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 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. The research is expected to yield insights applicable to a variety of fields, including optical signal propagation, fluid flows, and plasma physics. The project also provides research training opportunities for both undergraduate and graduate students.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $220.0k | 8/5/25 |