Project Grant 2408263
Award Date
9/1/24
Completion Date
8/31/27
Dollars Obligated
$350K
Federal Agency
Division of Mathematical Sciences
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Austin, TX 78712, USA
Similar Awards
This $100,972 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports fundamental research on nonlinear partial differential equations and their applications in fields such as crystal growth, combustion, and game theory. The primary investigator (PI) will study the regularity, large-time behavior, and qualitative properties of solutions to these equations, which have connections to areas like the calculus of...
This $142,013 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (MPS) program (CFDA 47.049) supports research conducted by New York University (NYU) on the development of new mathematical methods for analyzing complex physical systems with behaviors across multiple length scales. The primary goals of this 3-year project are to: 1) improve quantitative homogenization theory to better account for key parameters and allow for more flexible...
This $308,031 three-year Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on the nonlinear electrohydrodynamics of motile particles in confinement. The project aims to develop mathematical models, analytical solutions, and computational methods to understand the behavior of micron-sized colloidal particles driven to rotate or roll by electric fields between two planar electrodes. The research integrates...
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) will fund research at Carnegie Mellon University (CMU) on mean-field and singular limits of deterministic and stochastic interacting particle systems. The $187,382 award, with a performance period from July 1, 2023 to May 31, 2025, aims to achieve a substantial reduction in computational complexity for modeling the behavior of large numbers of interacting particles,...
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 federal Project Grant award of $299,792.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research on multi-state bootstrap percolation on directed graphs as a framework for analyzing neuronal network activity and dynamics. The principal investigator will develop novel mathematical methods to study how neuronal activity spreads in networks, how it depends on network connectivity patterns, and identify key properties of...
This $270,000 Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, will support two research programs related to the mathematical theory of fluids, gases, and plasmas. The first program will examine non-uniqueness phenomena and instability in nonlinear partial differential equations, particularly those used in modeling incompressible fluid mechanics. The second program will investigate the structure of shock...
This $202,091 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on interacting particle systems and related models in statistical mechanics. The primary awardee, Barnard College, will conduct studies focused on three main directions: the analysis of log-gases, investigations of the Kardar-Parisi-Zhang equation, and the examination of traffic models. The research aims to achieve a better understanding of the...
This $300,000 federal Project Grant awarded by the National Science Foundation (NSF) under the Computer and Information Science and Engineering (CFDA 47.070) program supports research to develop physics-guided generative artificial intelligence models for inverting chaotic advection-diffusion dynamics. The research aims to enable more accurate source identification from limited observations of complex physical processes like pollution transport, virus spread, and wildfire evolution, which are...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $200,000 to conduct fundamental research on mathematical models that describe complex interactions, growth, and motion in irregular environments with stochastic unpredictability. The goal is to discover general mathematical laws that govern such systems, which have implications for a wide range of real-world phenomena including traffic, communication networks,...