The University of Illinois was awarded a $330,000 Project Grant from the National Science Foundation Division of Mathematical Sciences to support research related to hydrodynamics of collective phenomena and applications under the agency's Mathematical and Physical Sciences program (CFDA 47.049). The three-year award, issued June 1, 2021 with a completion date of May 31, 2024, will fund research exploring major problems confronting the Nation through advancing the store of scientific...
This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) project grant of $118,353 awarded to the University of Illinois will fund the development of new numerical methods based on integral equation approaches to efficiently simulate nonlinear interface phenomena. The project aims to extend integral equation methods to challenging nonlinear settings, improve their efficiency for modeling boundary layers, and develop new methods for cases where volume...
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...
This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award in the amount of $150,000.00 was granted to the Illinois Institute of Technology (IIT) for the project "Analysis of Continuum PDE's in Collective Behavior and Related Models". The project aims to study the fundamental mechanisms underlying the collective behavior of large groups of agents, such as flocks of birds or swarms of bacteria, with a focus on leveraging partial...
The University of Illinois was awarded a $113,918 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to support research on Applications of Model Theory to Functional Transcendence. The grant will fund research from October 1, 2021 through June 30, 2024 exploring major problems in functional transcendence through the application of model-theoretic techniques. As the lead awardee,...
The National Science Foundation (NSF) awarded a $456,872 Project Grant under the Engineering program (CFDA 47.041) to the University of Illinois to conduct research on the role of complex fluids in the flow and instabilities of particle-laden liquids. The project aims to improve the understanding of particle behavior and flow characteristics in complex fluid environments, with applications in areas such as microfluidic devices, inkjet printing, and enhanced oil recovery. The research combines...
This Project Grant award for $282,599 was provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the CFDA 47.049 Mathematical and Physical Sciences federal grant program. The funding supports research by the University of Illinois to study the stability of nonlinear wave phenomena using validated numerical computations. The project aims to rigorously analyze the essential spectrum and linear stability of traveling wave solutions for nonlinear partial...
The National Science Foundation Division of Mathematical Sciences awarded a three-year $260,000 Project Grant to the University of Illinois from September 2023 through August 2026 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049).
The grant funds research into predictable behavior in large random structures using tools from probability theory, combinatorics, analysis, and theoretical computer science. Specific models studied include those used to model noisy...
The University of Illinois was awarded a $249,987 Project Grant from the National Science Foundation Division of Earth Sciences. The grant supports the collaborative research project "Informing River Corridor Transport Modeling by Harnessing Community Data and Physics-Aware Machine Learning."
The goal of the research is to strengthen understanding of integrated Earth systems through basic research in atmospheric, Earth, and ocean sciences. Specifically, this Project Grant will fund...
The National Science Foundation awarded a three-year, $242,677 Project Grant to the Illinois Institute of Technology under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports collaborative research between Illinois Institute of Technology and two other institutions to develop computational models of morphological instabilities in reactive fluids driven from equilibrium. The researchers will establish frameworks to model non-equilibrium phenomena, design algorithms...