Project Grant 2306258
- 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 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 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 $270,000 Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, will support two research programs related to the mathematical theory of fluids, gases, and plasmas. The first program will examine non-uniqueness phenomena and instability in nonlinear partial differential equations, particularly those used in modeling incompressible fluid mechanics. The second program will investigate the structure of shock...
- 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...
- The University of Missouri at Kansas City received a three-year, $146,326 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports collaborative research to develop computational models of complex interface dynamics between reactive fluids driven out of equilibrium. Researchers will establish a framework to model non-equilibrium phenomena and design algorithms and experiments...
- 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 $112,000 Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), will fund collaborative research between teams of U.S. and U.K. mathematicians. The research aims to develop innovative mathematical methods for analyzing the stability of nonlinear partial differential equations across scales, with a focus on four key objectives: stability of shock wave patterns including shock...
- 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 $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...
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 formation and global existence of solutions for Poiseuille flow of a nematic liquid crystal via the Ericksen-Leslie wave model. Both analytical and numerical techniques will be employed, including a new coordinate transformation and optimal transport metric to overcome challenges from singularity formation. The award reflects the NSF's mission to advance scientific knowledge and provide research and educational opportunities for students. No subawards were specified.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $235.0k | 5/12/23 |