Duke University was awarded a three-year $230,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support collaborative research on dynamics, singularities, and variational structure in models of fluids and clustering from July 1, 2021 to June 30, 2024. As part of its mission to strengthen the Nation's scientific enterprise through advancing mathematical and physical...
This $250,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on novel chemotaxis phenomena governing the directed movement of mobile agents in response to various stimuli. The project, conducted by Auburn University, will investigate long-term dynamics and spreading patterns of mobile agents spatially confined to multiconnected networks, such as fibers, arteries, and river systems. The research aims to...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) funds research focused on two main objectives: Studying singularities and long-time dynamics in mathematical models of fluid motions, including in porous media, atmospheric science, and at fluid boundaries. This involves developing theories of local well-posedness for these models. Investigating the large-scale behavior of reactive processes, such as the spread of forest...
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 federal Project Grant award of $186,811, awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program, supports research on analytical challenges near dynamical thresholds for nonlinear wave and fluid equations. The research aims to understand solutions to partial differential equations that live on the verge of different dynamical regimes, which is key to understanding the limitations and potential...
The National Science Foundation (NSF) awarded a 3-year, $100,000 Project Grant to the University of California, Merced (UC Merced) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research to better understand how isolated, self-propelled swimmers, such as autonomous underwater vehicles and microorganisms, are transported in unsteady fluid flows. The project will leverage dynamical systems theory to analyze stable and unstable manifolds, invariant tori,...
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....
This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award of $169,408, starting on June 1, 2024 and ending on August 31, 2026, supports research at the University of North Carolina at Chapel Hill (UNC-CH) on nonlinear stochastic partial differential equations and their applications. The project aims to develop a mathematical understanding of these equations, which arise in complex dynamic phenomena like global economic shifts and turbulent...
This $102,609 award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports a research project at the University of Wisconsin-Madison on partial differential equation (PDE) analysis of thin filament hydrodynamics. The project aims to (1) develop the PDE theory for a free boundary problem coupling quasi-1D filament dynamics with 3D fluid background, providing mathematical justification for computational models of immersed filament dynamics,...
This $204,884 Project Grant award from the National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences (CFDA 47.049) supports research by Towson University to study various subgrid scale turbulence models and their connections to the Navier-Stokes equations. The research aims to explore the mathematical properties of these turbulence models, apply data assimilation algorithms, and leverage deep learning methods for parameter estimation. Key focus areas include...