This $220,000 National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant awarded to the University of Washington aims to develop ultra-efficient deterministic numerical methods for multiscale kinetic plasma simulations. The primary objective is to address key challenges in simulating plasmas governed by the Boltzmann equation, including high dimensionality, complex collision operators, and inherent multiscale behaviors. The research will focus on employing...
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,...
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 $150,000 Project Grant to The University Corporation to support the development of fast methods for solving the Boltzmann equation through reduced order models, machine learning, and optimal transport from September 1, 2021 to August 31, 2024. This award supports research under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in the mathematical and physical sciences and...
This $285,606 Project Grant award from the National Science Foundation's (NSF) Computer and Information Science and Engineering (CISE) program (CFDA 47.070) supports a computational study of energy distribution and dissipation in weakly collisional plasmas. The project will develop reduced plasma physics models and integrate them into an open-source simulation code applicable to astrophysics, space weather, and fusion energy research. Key project activities include leveraging novel machine...
This $195,663 National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) will support research into topics in kinetic theory from August 2022 through July 2025. The award recipient, Emory University, will advance the mathematical understanding of nonlinear partial differential equations arising in kinetic theory that describe the dynamics of large interacting particle systems. Specifically, the university will focus on well-posedness, moment estimates,...
This $270,000 Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, will support two research programs related to the mathematical theory of fluids, gases, and plasmas. The first program will examine non-uniqueness phenomena and instability in nonlinear partial differential equations, particularly those used in modeling incompressible fluid mechanics. The second program will investigate the structure of shock...
This $219,782 Project Grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences aims to develop innovative and robust numerical methods for simulating high-frequency electric charge transport phenomena. The research program under this 3-year award from September 2024 to August 2027 will advance space and time discretization techniques for hydrodynamic models of electric charge transport, such as the Euler-Maxwell and Euler-Poisson systems. The resulting numerical...
The University of Chicago was awarded a $363,887 Project Grant by the National Science Foundation's Mathematical and Physical Sciences (CFDA #47.049) program to conduct research on kinetic equations and their applications in modeling the evolution of particle systems. The project aims to develop new analytical tools for studying nonlocal, parabolic, and hypoelliptic integro-differential equations, with a focus on the Boltzmann and Landau equations from statistical mechanics. This work will...
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,...