Project Grant 2508400
- This three-year, $368,549 National Science Foundation Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental mathematical research into free boundaries in fluid mechanics at Carnegie Mellon University. Key products include advancing understanding of contact line dynamics at triple interfaces through verification of a continuum model, as well as constructing and analyzing traveling wave solutions to the viscous Navier-Stokes equations to build on...
- This federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000 to the University of Pittsburgh to analyze nonlinear partial differential equations (PDEs) that govern fluid flows and related phenomena. The research aims to advance the mathematical understanding of multi-dimensional conservation laws and their applications in fluid dynamics and geometry, with a focus on four core problems: (1) the transonic...
- 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 on problems in fluid dynamics. The principal investigator (PI) will investigate the global stability of solutions to the Peskin problem (modeling blood flow through heart valves) and the Muskat problem (modeling the interaction of immiscible fluids in porous media). Additionally, the PI will construct large-amplitude steady solutions to...
- 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 from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $253,285 to the University of Pittsburgh to support research seeking to advance the mathematical theory of free-surface water waves and compressible fluids governed by the Euler equations. Over a three-year period from September 1, 2022 through August 31, 2025, the University of Pittsburgh will conduct research to develop new or...
- This $319,951 Project Grant, awarded by the National Science Foundation (NSF) Division of Mathematical Sciences, supports the development and analysis of new computational methods for studying complex fluid systems on deforming surfaces. The key products and services to be delivered through this 3-year award include: Developing and analyzing a finite element method for tangential fluid systems on moving surfaces, a multi-component surface flow problem, and a fluid-elastic interface model to...
- This Project Grant award of $224,733.00 from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program supports research on the characterization and stability of boundary layers and hydrodynamic stability within the Navier-Stokes equations. The research aims to develop a systematic theory to address the mathematical challenges posed by multiscale phenomena, mixed-type phenomena, and singular perturbations in fluid dynamics. The...
- This $184,162 Project Grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research on free boundary problems and phase interfaces in heterogeneous media. The project aims to advance the theory of phase interfaces by developing new techniques that connect partial differential equations, geometry, and statistical physics. The key outcomes will be: 1) a theory of large-scale regularity for free boundary and...
- 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,...
- 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 (CFDA 47.049 - Mathematical and Physical Sciences) provides $300,000 to Carnegie Mellon University to study fundamental questions of well-posedness and stability for two long-standing areas of interest in interfacial mechanics: the contact line problem, and the traveling wave problem. The project aims to advance the understanding of moving interfaces in multi-phase fluid flow, which occur in a wide range of natural phenomena and industrial/technological applications. Key planned activities include continuing previous NSF-funded work on traveling wave solutions for the viscous, incompressible Navier-Stokes equations, as well as integrating research and education through an undergraduate summer analysis program. The award period runs from Aug 15, 2025 to Jul 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 8/14/25 |