This Project Grant award of $250,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research by The Pennsylvania State University (Penn State) on singular and ill-posed problems for partial differential equations in continuum mechanics. The research aims to advance scientific understanding and make quantitative predictions of important physical phenomena in fluid mechanics, elasticity, and geophysical systems. Key focus areas...
The University of Pittsburgh was awarded a three-year $338,526 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to develop structure-preserving finite element methods for incompressible fluid flow modeling applications. Under the award, set to run from July 2023 through June 2026, the University will conduct research focused on improving existing divergence-conforming finite element methods for solving Navier-Stokes equations...
This Project Grant award of $300,000.00 from the National Science Foundation's (NSF) Division of Mathematical Sciences supports research to develop new mathematical methods and techniques for analyzing multi-dimensional partial differential equations (PDEs) that govern fluid flows and related phenomena. The research project, titled "Analysis of Hyperbolic and Mixed-Type PDEs in Conservation Laws and Applications," aims to advance the mathematical understanding of multi-dimensional...
The Trustees of the University of Pennsylvania received a $346,661 Project Grant award from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund analysis of nonlinear partial differential equations in free boundary fluid dynamics, mathematical biology, and kinetic theory from June 2021 through May 2024. As part of advancing the NSF's mission to promote progress in the mathematical and physical sciences, the University will use...
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 $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 $125,000 three-year Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), will support collaborative research between U.S. and U.K. mathematicians to develop innovative methods for analyzing the stability of nonlinear partial differential equations across scales. The research focuses on four objectives: stability analysis of shock wave patterns including gas dynamics problems; stability...
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...
The National Science Foundation awarded a $150,193 Project Grant to the University of South Carolina under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research into non-local partial differential equations in collective dynamics and fluid flow from August 1, 2023 through July 31, 2028. Specifically, the university will study three families of partial differential equations with non-local structures to model collective behavior and fluid dynamics....