Project Grant 2511625
- The National Science Foundation (NSF) awarded a $300,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Texas at Austin (UT Austin). The grant, with a period of performance from July 15, 2025 to June 30, 2028, will support UT Austin's research on "Large Systems of Interacting Particles and Waves and their Effective Equations." The project aims to advance mathematical models that connect large quantum systems of interacting...
- 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 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 (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $180,000.00 to the Florida Institute of Technology (Florida TECH) to conduct research on nonlinear partial differential equation (PDE) models in kinetic theory. The project focuses on advancing the mathematical understanding of two classical kinetic models - the Boltzmann and Landau equations - and their variants. Key research directions include...
- This $145,000 Project Grant awarded by the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports collaborative research on the fundamental theory of wave turbulence. The research at Texas A&M University will tackle challenging problems at the intersection of physics and mathematical analysis, including the rigorous derivation of wave kinetic equations, analysis of the kinetic equation for the Fermi-Pasta-Ulam-Tsingou chain, and well-posedness...
- This National Science Foundation Project Grant of $229,021 awarded on August 1, 2022 will support research at the University of Texas at Austin to develop mathematical frameworks in optimal transport applications to probability, machine learning, and kinetic theory through July 31, 2025. Under the Mathematical and Physical Sciences program (CFDA 47.049), the investigator will advance understanding of stochastic modeling, artificial intelligence algorithms, and kinetic theory by exploiting...
- This five-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $372,943, will support research investigating mathematical models in geometric calculus of variations and their applications in physics. Funded from June 2023 through May 2028, the award to the University of Texas at Austin will advance basic mathematical research while connecting to natural sciences. Key work includes developing new mathematical tools to study aspects of...
- The National Science Foundation Division of Mathematical Sciences awarded a $379,925 project grant to the University of Texas at Austin for collaborative research on new challenges in the derivation and dynamics of quantum systems. This funding supports research activities from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The goal of the Mathematical and Physical Sciences program is to promote progress in mathematics and physics and strengthen...
- 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 $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 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) provides $199,998.00 to conduct research on fundamental kinetic theory models in physics. The objective is to gain a comprehensive mathematical understanding of several complex kinetic models, with a focus on the quantum Landau equation and the existence of regular solutions to the inhomogeneous Landau equation. The research aims to open new research directions within the field of kinetic theory and develop novel mathematical methods and techniques that can serve as a foundation for tackling more complex problems. The award is held by the University of Texas at Austin and will be performed in Austin, TX over a period from August 2025 to July 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/14/25 |