This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program is supporting research by The Trustees of Columbia University in the City of New York to advance the theoretical understanding of partial differential equations, free boundary problems, and related mathematical concepts. The $273,927 award, with a performance period from July 1, 2024 to June 30, 2027, focuses on developing new methods and regularity theories for specific...
This National Science Foundation (NSF) Project Grant award provides $253,734 to The Johns Hopkins University to support research on the regularity of solutions to elliptic partial differential equations and generalized minimal submanifolds. The award focuses on two main mathematical objectives: studying unique continuation for solutions to elliptic PDEs and investigating the regularity theory for generalized minimal submanifolds. This research under the NSF's Mathematical and Physical Sciences...
This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) supports research focused on addressing fundamental questions in partial differential equations and optimization theory. The $291,367 award, spanning July 2024 to June 2027, will advance the Principal Investigator's work on characterizing extremal functions for Morrey's inequality, studying solutions to the pressureless Euler system, and...
The University of Missouri System was awarded a $193,884 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research into the topics of convexity and stochastic isoperimetry from December 2021 through November 2024. As part of the Mathematical and Physical Sciences program's goal of strengthening the nation's scientific enterprise through advancing mathematical and...
This Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $409,682 to the University of California, Los Angeles (UCLA) from July 1, 2022 to June 30, 2025. The funding supports research and training on dynamic free boundary problems involving partial differential equations with irregular or fractal-like boundaries. Specifically, the Principal Investigator will study problems where the domain evolution is unknown a priori,...
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 awarded The Johns Hopkins University a $320,648 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research into various aspects of the theory of partial differential equations as they relate to the dichotomy between regularity and singularity formation. The Principal Investigator will pursue research in regularity theory and geometric properties for partial differential equations arising in the theory of...
The National Science Foundation awarded a $179,538 Project Grant to The Ohio State University under the Mathematical and Physical Sciences program (CFDA 47.049) to support research analyzing initial and boundary value problems for dispersive and diffusive partial differential equations. The award period is from October 1, 2022 through June 30, 2024. The University will use Uniform Transform Method techniques to extend previous results on unbounded domains to bounded intervals in very low and...
This $100,972 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports fundamental research on nonlinear partial differential equations and their applications in fields such as crystal growth, combustion, and game theory. The primary investigator (PI) will study the regularity, large-time behavior, and qualitative properties of solutions to these equations, which have connections to areas like the calculus of...
This $220,347 National Science Foundation project grant under the Mathematical and Physical Sciences program (CFDA 47.049) will support the development of innovative numerical algorithms and rigorous theoretical investigation of elliptic partial differential equations with complex boundary conditions at Wayne State University from September 1, 2022 through August 31, 2025. Specifically, the principal investigator will design simple, efficient and robust finite element methods for solving second-...