This $350,000 federal Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The goal of the research is to develop accurate mathematical models and computer simulations for studying non-equilibrium systems with memory effects, such as those found in biosystems, plasma evolution, and solid-state nanostructures. The Principal Investigator will focus on analytical and numerical approaches to statistical transport...
The National Science Foundation Division of Mathematical Sciences awarded a $279,999 Project Grant to the New Jersey Institute of Technology located in Newark, New Jersey. The grant supports research titled "Modeling and Simulation of Interacting Wings: Collective Dynamics in Inertial Fluid Flows" from July 15, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The research aims to advance understanding of major problems in mathematical and...
The National Science Foundation awarded a three-year $450,000 Project Grant to Duke University under the Mathematical and Physical Sciences program (CFDA 47.049) beginning July 1, 2023. The grant will support research into small-scale formation in fluid motions and mathematical modeling of chemotaxis. Specifically, the university will analyze fluid mechanics, singularities in solutions to equations modeling weather phenomena and fluids, and the interaction of diffusion, fluid flow and chemotaxis...
This Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), will fund fundamental research on mathematical models that describe complex interactions, growth, and motion in random, irregular environments. The $200,000 award, effective from July 1, 2025 to June 30, 2027, aims to discover general mathematical laws governing such stochastic systems, which have applications in diverse areas like traffic flow, communication...
The National Science Foundation (NSF) awarded a $224,910 Project Grant under the Computer and Information Science and Engineering (CFDA 47.070) program to the University of California, Santa Barbara (UCSB). The grant, effective from September 1, 2024 to August 31, 2027, supports the development of scalable and automated software tools to simulate and analyze "active dynamics" in complex systems, such as flocks of birds, schools of fish, and networks of cells. The project aims to...
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 $350,000 Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research to develop cost-efficient and confidence-building sampling methods for modern scientific discovery. The award to the Illinois Institute of Technology (IIT) aims to create a framework featuring new methodologies, theory, and algorithms that extend classical low-discrepancy sampling...
This $176,355 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research on dispersive and wave equations at the University of Chicago. The project aims to advance the mathematical theory of wave turbulence and the analysis of Gibbs measures for Hamiltonian systems, with applications to fields such as plasma physics, nonlinear optics, and quantum field theory. Key research activities include extending...
This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program provides $250,000 in funding to Auburn University from August 1, 2024 to July 31, 2026. The funding supports a research project that investigates novel chemotaxis phenomena governing the directed movement of mobile agents in response to various stimuli. The project focuses on analyzing the chemotaxis model and dynamics of organisms spatially...
The National Science Foundation awarded a $150,193 Project Grant to the University of South Carolina under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research into non-local partial differential equations in collective dynamics and fluid flow from August 1, 2023 through July 31, 2028. Specifically, the university will study three families of partial differential equations with non-local structures to model collective behavior and fluid dynamics....