This $297,881 federal Project Grant award from the National Science Foundation (NSF) Engineering program (CFDA 47.041) supports collaborative research to advance the theory and algorithms for distribution control. The research aims to enable precision manufacturing of materials with desired properties and coordination/control of large autonomous agent swarms, promoting national prosperity and welfare. The project will address key challenges in nonlinear agent dynamics, inter-agent...
The National Science Foundation awarded a $199,774 project grant to the Georgia Tech Research Corporation to support research investigating instabilities in suspension flows. The award is part of NSF's Engineering program (CFDA 47.041) and will fund laboratory experiments and theoretical modeling examining suspension flows in structured channels from June 2022 to May 2024. Specifically, the research aims to apply proven techniques for characterizing instabilities in pure Newtonian fluids to...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $122,002 to the University of South Carolina to develop novel mathematical tools to analyze the long-time behaviors of coupled biology-fluid systems and transport-type equations arising in biological phenomena. The key products and services to be delivered under this 3-year award, running from August 1, 2024 to July 31, 2027, include: Exploring the delicate...
This $250,000 Project Grant award from the National Science Foundation (NSF) Engineering program (CFDA 47.041) aims to address challenges in stochastic nonlinear control and learning for dynamical systems through a novel "Spectral Dynamic Embedding" approach. Led by the Georgia Tech Research Corporation, the research intends to develop computationally efficient control algorithms suitable for applications in robotics, aerospace, manufacturing, and beyond. The key innovations involve...
This Project Grant award, with a total funding amount of $166,285, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports the development of new mathematical approaches for analyzing complex bifurcations in high-dimensional dynamical systems. This work aims to enable quantitative and qualitative progress in the study of data-driven, detailed, and phenomenologically-reduced models with complex...
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...
The National Science Foundation (NSF) awarded a $299,998 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to Georgia Tech Research Corporation to conduct fundamental research on the dynamics of nonlinear partial differential equation (PDE) systems that model fluid flow and nonlinear waves. The research will focus on analyzing the local dynamics near steady states in incompressible fluid PDEs with free surfaces, as well as a class of nonlinear...
The National Science Foundation awarded a $400,000 Project Grant to the University of Washington under the Engineering program (CFDA 47.041) to develop data-guided system-theoretic techniques for control of dynamic systems from August 15, 2022 to July 31, 2025. Specifically, the award will support research to extend the current data-guided control paradigm to nonlinear systems and networked systems through novel data-parameterized analysis and synthesis methods. The research will also examine...
This $220,000 Project Grant award from the National Science Foundation's (NSF) Engineering program (CFDA 47.041) aims to advance the understanding of how soft, deformable particles, such as oil droplets and cells, move through complex environments consisting of narrow constrictions and obstacles. The award to Emory University will systematically investigate the flow of bubbles and droplets through obstacle arrays, studying the effects of particle surface tension, obstacle density, size, and...
The National Science Foundation Division of Mathematical Sciences awarded a $198,055 Project Grant to the Georgia Tech Research Corporation from September 1, 2023 through August 31, 2028 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The award will support research investigating chaotic dynamics in dynamical systems with noise, and applying tools from smooth ergodic theory and probability theory to rigorously analyze chaotic behavior in practical systems....