Project Grant 2247019
- This $114,216 Project Grant was awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds a research project at Oregon State University focused on understanding the long-time dynamics and evolutionary behavior of dispersive systems, which have applications in areas like numerical simulations, optics, condensed matter, fluid mechanics, and biology. The project consists of three main...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $284,000 to The Ohio State University from August 15, 2022 to July 31, 2025. The award will support research into non-perturbative analysis of physical and mathematical models, with a focus on developing methods to extract information from limited data with high accuracy and confidence outside the range of...
- This Project Grant from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $179,538 to Wake Forest University from July 1, 2022 to December 31, 2022. The university will use the funding to further mathematical study of dispersive and diffusive partial differential equations on bounded intervals and the half line. Researchers will apply the Uniform Transform Method to extend previous results on unbounded domains to bounded intervals...
- 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 $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 of $150,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into the asymptotic behavior of partial differential equations (PDEs) across a range of scientific applications. The Principal Investigator (PI) will investigate long-term propagation and front structure in reaction-diffusion equations, analyze limits of stochastic PDEs in physical systems, and study the effects of viscosity on shock...
- 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 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...
- The National Science Foundation (NSF) awarded a $247,227 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Missouri System, doing business as the Curators of the University of Missouri, to conduct research related to boundary value problems and free boundary problems for elliptic and parabolic partial differential equations. The three-year project, starting on July 1, 2024 and ending on June 30, 2027, aims to: 1) characterize the space-time...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) provides $300,000 in funding to Brown University to advance the understanding of nonlinear dispersive partial differential equations (PDEs). The research focuses on exploring the formation, stability, and interaction of coherent structures like solitons, vortices, and singularities in these mathematical models, which have applications in diverse...
The National Science Foundation awarded a $179,538 Project Grant to The Ohio State University under the Mathematical and Physical Sciences program (CFDA 47.049) to support research analyzing initial and boundary value problems for dispersive and diffusive partial differential equations. The award period is from October 1, 2022 through June 30, 2024. The University will use Uniform Transform Method techniques to extend previous results on unbounded domains to bounded intervals in very low and very high regularity spaces. This will involve developing the necessary theory and methods to study well-posedness and asymptotic behavior of solutions to nonlinear Schrödinger, Korteweg-de Vries, and Burgers equations with initial and boundary data of low regularity. The project aims to further mathematical understanding of diffusive and dispersive models that can describe physical phenomena like ocean dynamics and fiber optics cables. It will also provide research training opportunities for students and early career researchers, with a focus on promoting participation from underrepresented groups in STEM fields.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $179.5k | 12/9/22 |