This five-year $154,264 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research and educational activities at Drexel University related to uncertainty quantification, long-time statistics, and singularity formation in fluid flow models. The Principal Investigator will address topics including parameter recovery from sparse noisy observations using Bayesian inverse problems and Markov chain Monte Carlo algorithms applied to...
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,...
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...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $253,285 to the University of Pittsburgh to support research seeking to advance the mathematical theory of free-surface water waves and compressible fluids governed by the Euler equations. Over a three-year period from September 1, 2022 through August 31, 2025, the University of Pittsburgh will conduct research to develop new or...
The National Science Foundation (NSF) awarded a $299,213 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to The Trustees of Princeton University to study the dynamics and stability of solutions to important partial differential equations that describe classical systems in applied mathematics and physics, such as incompressible fluids, geophysical flows, plasma, and water waves. The 3-year award, effective July 1, 2024, will establish...
Drexel University was awarded a $149,687 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) for collaborative research titled "PARTICLES AND PROXIES FOR SAMPLING" from August 1, 2021 to July 31, 2024. Under this award, Drexel University researchers will work collaboratively to advance the progress of mathematical and physical sciences through increasing understanding of major problems confronting the nation, such as enhancing...
This $186,811 Project Grant was awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences to Georgetown University on September 1, 2024. The grant supports research on "Analytical Challenges Near Dynamical Thresholds for Nonlinear Wave and Fluid Equations" over a 3-year period through August 31, 2027. The research aims to develop a deeper understanding of the mathematical behavior of partial differential equations that model a variety of physical systems,...
The National Science Foundation Division of Mathematical Sciences awarded a $185,579 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to The Research Foundation For The State University Of New York on behalf of Stony Brook University. The five-year award beginning June 1, 2023 will support research advancing understanding of two-dimensional fluid motion through the lens of partial differential equations, geometry, and dynamical systems. Specifically,...
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...
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...