This three-year project grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $106,000 to analyze the effects of rotation, stratification, and dissipation in incompressible fluid flows. The awardee, Research Foundation of the City University of New York on behalf of Hunter College, will systematically study these mechanisms through the mathematical analysis of equations of motion modeling...
This $319,971 federal Project Grant awarded by the National Science Foundation's (NSF) Engineering program (CFDA 47.041) is supporting research at Florida State University (FSU) to evaluate the complexity of unsteady turbulent flows using advanced mathematical methods. The project aims to establish a new theoretical framework for quantifying the complexity of these flow patterns, which often contain both predictable and random elements. The research will utilize large-scale flow structures as...
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...
The National Science Foundation Division of Mathematical Sciences awarded a $185,579 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to The Research Foundation For The State University Of New York on behalf of Stony Brook University. The five-year award beginning June 1, 2023 will support research advancing understanding of two-dimensional fluid motion through the lens of partial differential equations, geometry, and dynamical systems. Specifically,...
Florida State University was awarded a $521,489 project grant from the National Science Foundation to conduct a stereoscopic visualization study of turbulence and vortex-tangle dynamics in helium-II from August 1, 2021 to July 31, 2024. The grant was awarded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which supports progress in these scientific fields and strengthens the nation's scientific enterprise through increased knowledge and understanding of major...
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 $299,213 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to The Trustees of Princeton University to study the dynamics and stability of solutions to important partial differential equations that describe classical systems in applied mathematics and physics, such as incompressible fluids, geophysical flows, plasma, and water waves. The 3-year award, effective July 1, 2024, will establish...
The National Science Foundation Division of Mathematical Sciences awarded Florida State University a $280,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of July 1, 2021 through June 30, 2024. The grant funds research on partially hyperbolic diffeomorphisms, foliations, and flows. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in these fields through support of basic research and related...
This $138,009 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports a collaborative research project at New York University (NYU) on the fundamental problems of singularities in 3D incompressible fluid flows and Navier-Stokes equations. The project integrates theoretical mathematical analysis, numerical simulations, and machine learning techniques to advance understanding of fluid flow singularities. The five...
This three-year Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $582,898 to the Regents of the University of Minnesota for research on topics in the analysis of nonlinear partial differential equations. The research focuses on fluid mechanics equations like the Navier-Stokes equations, studying well-posedness, non-uniqueness, and related problems. It also examines steady-state...