This $167,000 federal Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences grant program (CFDA 47.049) supports the development of accurate and efficient computational methods for solving the kinetic Boltzmann and Vlasov equations for modeling rarefied gases and plasma. The primary objective is to create reduced-order models that can capture important physics while being more readily solved on modern computer architectures. The research...
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,...
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 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) to Texas Tech University System provides $249,394 to develop novel machine learning (ML) models that can accurately approximate kinetic equations used to model non-equilibrium phenomena in physics and engineering. The project aims to create reduced-order ML moment models that can capture the underlying physics while preserving key mathematical properties like hyperbolicity,...
The National Science Foundation Division of Mathematical Sciences awarded a $299,999 Project Grant to the Georgia Tech Research Corporation from July 15, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The funding will support research investigating the dynamics and kinetics of physical systems. The Mathematical and Physical Sciences program aims to strengthen the Nation's scientific enterprise by promoting progress in mathematical and physical...
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...
This $202,091 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on interacting particle systems and related models in statistical mechanics. The primary awardee, Barnard College, will conduct studies focused on three main directions: the analysis of log-gases, investigations of the Kardar-Parisi-Zhang equation, and the examination of traffic models. The research aims to achieve a better understanding of the...
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) will fund research at Carnegie Mellon University (CMU) on mean-field and singular limits of deterministic and stochastic interacting particle systems. The $187,382 award, with a performance period from July 1, 2023 to May 31, 2025, aims to achieve a substantial reduction in computational complexity for modeling the behavior of large numbers of interacting particles,...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) in the amount of $209,999 supports research on the theoretical understanding of partial differential equations arising from physics and how kinetic models can elaborate on the shortcomings of original scientific theories. The research project, conducted by Louisiana State University, consists of four main components: 1) establishing the well-posedness and conditional...
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,...