Project Grant 2510425
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000 to Duke University to conduct research on fundamental aspects of incompressible fluid dynamics. The key research directions include investigating the formation of singularities in incompressible fluids, studying steady solutions to the Euler equation, and understanding fluid mixing phenomena. This research aims to advance scientific knowledge on the...
- 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 National Science Foundation (NSF) Project Grant award, provided under the Mathematical and Physical Sciences program (CFDA 47.049), supports research focused on understanding regular and singular incompressible fluid flows. The $300,000 award, granted from August 1, 2024 to July 31, 2027, aims to advance the mathematical understanding of solutions to the incompressible Navier-Stokes and Euler equations, particularly in the areas of regularity, uniqueness, and stability. The project...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000.00 to the University of Maryland, College Park to advance the understanding of three classes of nonlinear partial differential equations in multiple spatial dimensions. The research aims to address fundamental questions in modeling emergent phenomena, conservation laws, and the pressureless early universe model. Specifically, the project will study the...
- 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 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 program (CFDA 47.049) provides $304,779 to the Regents of the University of Minnesota to study the mathematical properties of the Navier-Stokes and Euler equations, which model the flow of fluids like air and water. The project aims to address fundamental open questions in fluid dynamics, such as the stability of coherent flow structures like vortices, and to develop theoretical understanding...
- 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 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $145,000.00 in funding to Florida State University (FSU) to investigate instabilities in incompressible fluid flows. The principal investigator will study new scenarios in which steady fluid flows can become unstable due to small disturbances, examining both linear and nonlinear instabilities. This includes analyzing axisymmetric flows in three...
- This $159,640 federal Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research at the University of Rochester. The research aims to derive macroscopic fluid equations like the Euler and Navier-Stokes equations from microscopic quantum many-body dynamics, with a focus on understanding how macroscopic quantities like pressure and viscosity emerge from microscopic particle behavior. The project...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $150,001 to the University of Florida to conduct research on the fundamental mathematical problems at the intersection of classical and quantum fluid dynamics. The research aims to advance the understanding of the transition from compressible to incompressible flow in the low Mach number regime and explore how quantum effects influence solution structure and stability. The project also supports graduate training in mathematical analysis and applied partial differential equations. Key focus areas include the incompressible limit of global weak solutions to the compressible Euler equations and the study of quantum Euler equations derived from the Schrödinger equation. The research is expected to introduce new techniques in nonlinear partial differential equations and contribute to a deeper theoretical understanding of hyperbolic and dispersive systems in mathematical physics. The award period runs from August 15, 2025 to July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 8/14/25 |