Project Grant 2511236
- This Project Grant from the National Science Foundation's Mathematical and Physical Sciences Directorate, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $107,124 to Florida Institute of Technology Inc. to advance research in diffusive partial differential equations from July 1, 2022 to June 30, 2024. Key work under this award includes advancing well-posedness and regularity theory for the Boltzmann and Landau kinetic equations, which feature...
- 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) 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...
- 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'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 $125,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will enable the Florida Institute of Technology Inc. (Florida TECH) to utilize advanced machine learning algorithms to efficiently analyze and predict information within high-dimensional data matrices and tensor computations related to state-space dynamical systems. The key objectives are to: (I) utilize machine learning to predict future states of dynamical...
- This Project Grant award of $150,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into the asymptotic behavior of partial differential equations (PDEs) across a range of scientific applications. The Principal Investigator (PI) will investigate long-term propagation and front structure in reaction-diffusion equations, analyze limits of stochastic PDEs in physical systems, and study the effects of viscosity on shock...
- 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...
- The National Science Foundation (NSF) awarded a $299,998 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to Georgia Tech Research Corporation to conduct fundamental research on the dynamics of nonlinear partial differential equation (PDE) systems that model fluid flow and nonlinear waves. The research will focus on analyzing the local dynamics near steady states in incompressible fluid PDEs with free surfaces, as well as a class of nonlinear...
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 investigating the regularity and potential breakdown of solutions for the inhomogeneous non-cutoff Boltzmann equation, extending existing results on the existence and regularity of solutions for the classical Landau model to its relativistic counterpart, and examining regularity issues that arise when these equations are coupled with the Maxwell system. This award reflects NSF's mission to support fundamental scientific research that has potential for broader societal and technological impacts. The project will be performed at Florida TECH's facilities in Melbourne, Florida and is set to run from August 15, 2025 through July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $180.0k | 8/14/25 |