Project Grant 2550221
- 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...
- 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 three-year National Science Foundation project grant of $188,904 will support the development of new finite element methods for numerically challenging computations at Oklahoma State University from September 2022 through August 2025. Under the Mathematical and Physical Sciences program (CFDA 47.049), the university will advance computational mathematics and provide more efficient tools for problems involving interfaces between multiple physical systems, materials with changing...
- 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...
- This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) supports research focused on addressing fundamental questions in partial differential equations and optimization theory. The $291,367 award, spanning July 2024 to June 2027, will advance the Principal Investigator's work on characterizing extremal functions for Morrey's inequality, studying solutions to the pressureless Euler system, and...
- This National Science Foundation (NSF) Project Grant award, under the Mathematical and Physical Sciences (CFDA 47.049) program, will support research on stochastic methods and isoperimetric inequalities at Texas A&M University. The $238,406 award, active from July 2024 to June 2027, will develop techniques to bridge fundamental conjectures in Brunn-Minkowski theory and dual Brunn-Minkowski theory, with a focus on intersection bodies and higher-dimensional generalizations. The research aims...
- This $216,000 Project Grant award from the National Science Foundation (NSF) Integrative Activities program (CFDA 47.083) supports a comprehensive research initiative led by Oklahoma State University (OSU) to investigate the steady states and stability of nonlinear partial differential equations (PDEs) in fluids and interacting particle systems. The primary goals are to develop an analytical framework for understanding the existence, singular behavior, and stability of these steady states, which...
- This $145,052 Project Grant was awarded on May 1, 2024 by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant supports a collaborative research project between The Ohio State University (OSU) and unspecified partners aimed at developing mathematical innovations for improved spatiotemporal data processing, with applications for national security. The key objectives are to: (1) develop...
- 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...
- This $318,775 National Science Foundation project grant supports theoretical and computational research and education activities at Lehigh University from May 2022 through April 2025. The award is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the principal investigator and their team will develop advanced numerical techniques to model the properties of two-dimensional quantum...
This Project Grant award of $157,021 from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on quantitative analysis of high-contrast composite materials. The Principal Investigator at The Ohio State University will develop new mathematical methods to address open problems in partial differential equations (PDEs) with highly oscillatory coefficients, which are essential for understanding field concentration phenomena in materials with drastically varying properties across small length scales. The research focuses on three primary objectives: analyzing electric field buildup between insulators with emphasis on asymptotic behavior and equations involving the p-Laplacian and Lamé system; studying composites composed of perfect or mixed conductors with nonlinear governing equations; and investigating models with imperfectly bonded conductors involving complex transmission and Robin-type boundary conditions relevant to biological membrane structures. The award period extends from January 1, 2026 through June 30, 2028, and encompasses both research activities and educational components. The project will advance theoretical understanding of high-contrast composites—including filled polymers, porous media, and biological tissues—with applications in bioengineering, medical imaging, and electronics. The research outputs will include new mathematical frameworks and analytical techniques applicable to accurately determining effective material properties and enabling more efficient material design. Additionally, the award includes undergraduate and graduate student mentorship, contributing to workforce development in the mathematical sciences.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $157.0k | 1/13/26 |