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 from the National Science Foundation Division of Mathematical Sciences provides $292,823 in funding from August 1, 2022 to July 31, 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports research and training at the University of Chicago on nonlinear partial differential equations with stochastic dependence, homogenization in random media, well-posedness in singular domains, mean-field games, and convergence of growth models. Key areas of...
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...
This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research aimed at advancing the mathematical analysis of nonlinear partial differential equations. The research has three main focus areas: (1) studying fluid dynamics problems with free boundaries, such as water waves, tsunamis, and hurricanes; (2) investigating the dynamics of gases and plasmas under physical kinetic boundary conditions,...
This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant to George Mason University will contribute theoretical and computational approaches for understanding the dynamics of reaction-diffusion systems, which have applications in biology, ecology, physics, and engineering. The $269,996 award, effective from Jul 1, 2024 to Jun 30, 2027, will focus on three key project areas: Analyzing reaction-diffusion equations defined on networks, including...
This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $232,812 to The Johns Hopkins University from July 1, 2022 to June 30, 2025 to improve understanding of dispersive partial differential equations. Key products include research on the long-time behavior of solutions to critical scaling equations like the Schrödinger maps problem and focusing/mass-critical nonlinear Schrödinger equation. Additional work will analyze energy...
The University of Arizona was awarded a $240,000 project grant from the National Science Foundation Division of Mathematical Sciences from September 1, 2021 to August 31, 2024. The grant supports research on Nonlinearity, Randomness, and Dynamics: Vistas into the Extreme Mechanics of Non-Euclidean Sheets under the Mathematical and Physical Sciences program (CFDA 47.049). The Mathematical and Physical Sciences program aims to promote progress in these fields and strengthen the nation's scientific...
This Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $382,648 to the University of Texas at Austin for research investigating partial differential equations methods in the study of interfaces from July 1, 2022 to June 30, 2025. The award supports research training for graduate students and postdoctoral researchers in two thematic areas: developing mesoscale and macroscopic models...
This National Science Foundation Project Grant award of $424,370 provides funding over five years from June 2022 through May 2027 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research at the University of Maryland, College Park to advance fundamental knowledge of dynamical systems through the study of long-term behavior of parabolic systems, which display sub-exponential divergence of orbits in contrast to hyperbolic systems. The...
This Project Grant award, funded by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental and applied research on asymptotic phenomena in partial differential equations. The $150,000 award to the University of Wisconsin-Madison will be used to investigate the long-term behavior and limiting regimes of various deterministic and stochastic partial differential equations across three interconnected research areas: (1) studying...