Project Grant 2206187
- 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 $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 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) 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 $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 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 National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award of $220,000 will fund the development of a new computational framework for solving complex kinetic equations. The University of Minnesota, through its Office of Sponsored Projects Administration, will lead this 3-year project to create efficient and scalable variational methods that integrate techniques from optimal transport, scientific machine learning, and stochastic methods to simulate...
- 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) under the Mathematical and Physical Sciences program (CFDA 47.049) supports a theoretical study at the interface of nonlinear wave formation, random matrices, and statistical mechanics. The $195,000 award to Emory University aims to analyze the asymptotic behaviors and critical phenomena of integrable systems, with a focus on studying the universality properties that arise in these models. Key applications include growth...
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, and descriptions of long-range interactions for generalized Boltzmann equations that go beyond binary interactions to incorporate higher-order interaction terms. This includes the binary-ternary Boltzmann equation, which models denser gases allowing both binary and ternary collisions. The researchers will also study the long-time behavior and rates of convergence to equilibrium of the relativistic Landau equation, which captures high-velocity effects in hot plasmas. The work will provide a more comprehensive understanding of kinetic models with applications in gas and plasma dynamics.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $195.7k | 8/2/22 |