Project Grant 2205710
- The University of Maryland, College Park received a $300,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The award will fund research into free boundary problems for aggregation phenomena and partial differential equations from August 1, 2023 through July 31, 2026. Specifically, the university will study relationships between local interactions and collective motion in...
- The University of Michigan will receive $810,746 under a Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on mathematical modeling of fluid free boundary problems. Specifically, researchers will develop mathematical tools to analyze the long-term behavior of water waves in two and three dimensions, with and without surface tension, as well as the interaction of ocean waves with rigid coastal boundaries. The...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000.00 to the University of Maryland, College Park to advance the understanding of three classes of nonlinear partial differential equations in multiple spatial dimensions. The research aims to address fundamental questions in modeling emergent phenomena, conservation laws, and the pressureless early universe model. Specifically, the project will study the...
- This $300,000 federal Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental mathematical and computational research on complex stochastic systems with infinite degrees of freedom. The project aims to develop new theoretical frameworks and analytical techniques for studying the asymptotic behavior of stochastic partial differential equations (SPDEs) with multiple scales and conservation laws. The...
- 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 $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 $215,673 National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) funds research at the University of Maryland, College Park focusing on chaotic properties of smooth dynamical systems on manifolds. The three-year project grant beginning June 1, 2023 supports developing a framework for understanding chaotic behavior in dynamical systems, with potential applications in mathematics, physics, economics and other fields. It also involves training...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $210,000 in funding to the University of Maryland, College Park (UMD) from July 1, 2025 to June 30, 2028. The research project focuses on microlocal analysis and Monge-Ampere type equations in geometry. Key areas of focus include investigating the existence of canonical shapes and structures on manifolds or geometric spaces, exploring connections between complex...
- This National Science Foundation Project Grant award of $424,370 provides funding over five years from June 2022 through May 2027 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research at the University of Maryland, College Park to advance fundamental knowledge of dynamical systems through the study of long-term behavior of parabolic systems, which display sub-exponential divergence of orbits in contrast to hyperbolic systems. The...
- The National Science Foundation awarded a $360,000 Project Grant to the University of Illinois for the project "Pathological Solutions of Fluid Equations". The grant period runs from June 1, 2023 to May 31, 2026. The project will study fundamental open questions concerning the equations of fluid motion, which are widely used in physics and engineering applications. The research aims to demonstrate limitations in the notion of "weak solutions" to these equations, which have...
The University of Maryland, College Park will receive $340,000 from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on the regularity and stability analysis of free-boundary problems in fluid dynamics from August 1, 2022 to July 31, 2025. The project focuses on mathematical models commonly used in fluid dynamics applications involving dynamic, evolving boundaries between fluid domains. The university researchers will study the long-time behavior of solutions and stability of special solutions for three specific models - the Muskat problem, water waves, and the free-boundary incompressible porous medium equation. Tools from harmonic analysis, microlocal analysis, potential theory, spectral theory, and bifurcation theory will be combined to advance understanding of existence, uniqueness, and behavior of solutions to these challenging quasilinear, degenerate parabolic or hyperbolic systems. Graduate students will gain involvement in the research. Outcomes aim to strengthen the theoretical foundation for applications of fluid dynamics in diverse fields including biology, geology, oceanography and aerospace.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $340.0k | 7/18/22 |