Project Grant 2306926
- The Pennsylvania State University received a $300,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to fund the MATHEMATICAL QUESTIONS IN KINETIC THEORY project through June 30, 2024. Under this award, Penn State will conduct research into major problems confronting the Nation in mathematical and physical sciences, as part of the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049). Specifically, the...
- The Pennsylvania State University (Penn State) was awarded a $263,687 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program. The grant will support fundamental research in number theory, potential theory, and convex optimization, with potential applications in computer science, mathematical physics, and information theory. The principal investigator (PI) and a Ph.D. student will prove new optimal results and introduce new strategies...
- 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...
- The Trustees of the University of Pennsylvania received a $346,661 Project Grant award from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund analysis of nonlinear partial differential equations in free boundary fluid dynamics, mathematical biology, and kinetic theory from June 2021 through May 2024. As part of advancing the NSF's mission to promote progress in the mathematical and physical sciences, the University will use...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $748,840 to The Pennsylvania State University under the Mathematical and Physical Sciences program (CFDA 47.049) from September 1, 2022 to August 31, 2025. The funding supports research into partial differential equations modeling incompressible fluids and elastic solids, with a focus on fluid-structure interaction problems, transport of vectors by fluid flow, and seismic fault monitoring. The...
- This federal Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $250,000 in funding to The Pennsylvania State University (Penn State) from September 1, 2025 to August 31, 2027. The project focuses on mathematical analysis and computational modeling of phenomena in fluid mechanics and elasticity, with applications in areas such as fluid flow in pipelines, modeling of the Earth's interior, combustion and fluid mixture...
- The Pennsylvania State University received a $135,000 Project Grant award from the National Science Foundation Division of Physics on September 15, 2021 to fund research related to solitons and quantum field theory through August 31, 2024. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding of major problems through support of mathematical and physical sciences research and education activities....
- The National Science Foundation Division of Mathematical Sciences awarded The Pennsylvania State University a $224,283 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into topics in smooth ergodic theory including stochastic properties, thermodynamic formalism, and essential coexistence of hyperbolic and non-hyperbolic dynamical behavior from June 1, 2022 to May 31, 2025. Key areas of focus include developing...
- This three-year $200,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research into nonlinear dynamics and their applications to physical systems. The grantee, The Pennsylvania State University, will conduct three related research projects aiming to discover new phenomena of fundamental mathematical and physical relevance. The first project will study resonances in area-preserving cylinder maps, building on prior...
- The National Science Foundation awarded North Carolina State University a three-year, $368,594 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new mathematical and computational tools for nonlinear hyperbolic systems of partial differential equations. The university will use the funding to design efficient high-order numerical methods for conservation and balance laws that go beyond consistency, stability, and convergence. Key activities include...
The Pennsylvania State University (Penn State) received a three-year, $387,760 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences to study hyperbolic conservation laws and the regularity and approximation of solutions to these types of equations. The grant falls under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which supports basic research and education in these fields to strengthen the nation's scientific enterprise. Through this award, set to run from July 1, 2023 to June 30, 2026, Penn State researchers will investigate situations where the uniqueness of solutions to hyperbolic conservation laws can or cannot be guaranteed, both theoretically and through improved error bounds for computational schemes. They will also provide local asymptotic descriptions of how solutions lose regularity at points where new singularities like shock waves emerge. The project provides research training for graduate students and postdoctoral associates while addressing open questions in the current theory of hyperbolic conservation laws. Findings on uniqueness or non-uniqueness in broader weak solution classes may help advance predictive modeling capabilities across scientific domains utilizing these equations.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $387.8k | 6/5/23 |