This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $163,383 to the University of Arizona under the Mathematical and Physical Sciences program (CFDA 47.049) from June 1, 2022 to May 31, 2025. The award supports research on nonlinearity in reaction-diffusion and kinetic equations, with a focus on developing tools to understand the long-time behavior of several reaction-diffusion systems and the well-posedness theory of various collisional kinetic...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $230,826 to Michigan State University for research on nonlocal reaction-diffusion equations and Wasserstein gradient flows from August 1, 2022 to July 31, 2025. The research focuses on qualitative properties of solutions to nonlocal reaction-diffusion equations arising in biology and ecology; development and convergence analysis...
The National Science Foundation (NSF) awarded a $110,047 Project Grant to the Trustees of Indiana University, doing business as Indiana University, to conduct research on stochastic reaction-diffusion systems. This 3-year grant, which began on July 1, 2024, is funded under NSF's Mathematical and Physical Sciences (CFDA 47.049) program. The project will focus on developing new mathematical methods and models to better understand the role of space in influencing population dynamics, which has...
This National Science Foundation (NSF) Division of Mathematical Sciences Project Grant award in the amount of $186,811 provides funding to Georgetown University from September 1, 2024 through August 31, 2027 to conduct research on "Analytical Challenges Near Dynamical Thresholds for Nonlinear Wave and Fluid Equations." The research aims to better understand solutions to partial differential equations that operate near the boundary of different dynamical regimes, which is key to...
This National Science Foundation Project Grant of $219,896 will fund research into pattern formation in singularly perturbed partial differential equations under the Mathematical and Physical Sciences program (CFDA 47.049). The University of California Irvine will investigate spatiotemporal pattern formation mechanisms in reaction-diffusion systems arising in biology, ecology, and chemistry. Key research areas include pattern-forming instabilities at bistable interfaces, temporal pulse...
George Mason University received a $354,527 Project Grant award from the National Science Foundation to support research titled "THERMODYNAMICS OF INTERFACES: THEORY TO ATOMISTIC MODELING" from June 1, 2021 to May 31, 2024. The award is being administered under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the nation's scientific enterprise through advancing knowledge and understanding of major problems in these fields. Specifically, the...
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 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...
The University of Houston will use a $236,370 National Science Foundation Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to study how nonlocal diffusion shapes patterns in biological systems from June 1, 2023 to May 31, 2026. Specifically, the university will analyze how nonlocal seed dispersal versus local diffusion impacts pattern formation in arid ecosystems exhibiting banded vegetation, using a nonlocal Gray-Scott model. Researchers will develop methods to...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $150,922 to Lehigh University to conduct research on asymptotic problems in kinetic theory. The project focuses on developing novel mathematical tools to characterize the multi-scale behaviors of particle systems in applications such as medical imaging, gas dynamics, and nuclear fusion. Key objectives include rigorous analysis to connect microscopic, mesoscopic,...