Project Grant 2408264
Award Date
8/15/24
Completion Date
7/31/27
Dollars Obligated
$300K
Federal Agency
Division of Mathematical Sciences
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Philadelphia, PA 19104, USA
Similar Awards
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000.00 to the University of Maryland, College Park to advance research across three classes of nonlinear partial differential equations. The project aims to study emergent phenomena, conservation laws, and the pressure-less early universe model in multiple spatial dimensions. Key focus areas include Euler alignment, nonlinear conservation laws, and 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...
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 of $302,028.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) supports fundamental research on nonlinear hyperbolic and dispersive partial differential equations (PDEs). The award aims to deepen the understanding of these PDEs, which are critical for describing natural phenomena across scales, by investigating long-term dynamics, singularity formation, and the stability of special solutions. Key...
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 Project Grant award of $300,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on the mathematical physics of completely integrable Hamiltonian partial differential equations. The principal investigator will employ new mathematical tools to investigate the long-time behavior of physical systems governed by these integrable equations, with a focus on interfacial wave models and the statistical mechanics of integrable...
This $186,811 Project Grant was awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences to Georgetown University on September 1, 2024. The grant supports research on "Analytical Challenges Near Dynamical Thresholds for Nonlinear Wave and Fluid Equations" over a 3-year period through August 31, 2027. The research aims to develop a deeper understanding of the mathematical behavior of partial differential equations that model a variety of physical systems,...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000 in funding to the University of Pittsburgh to conduct research on mathematical analysis of partial differential equations (PDEs) governing fluid flow and related phenomena. The research aims to develop new techniques to analyze multi-dimensional conservation laws and their applications in fluid dynamics and geometry. Specific focus areas include...
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 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...