The National Science Foundation (NSF) awarded a $256,113 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program to the University of Tennessee (UT). The grant, awarded on August 1, 2025, aims to develop mathematical techniques for analyzing nonlocal models, which have proven effective in modeling complex natural, scientific, and engineering phenomena such as material fractures and anomalous diffusion processes. The research activities will enhance the...
The University of Tennessee received a $367,450 project grant award from the National Science Foundation Division of Mathematical Sciences on July 15, 2021 to support work on "APPROXIMATION AND ANALYSIS OF SELECTED NONSMOOTH, NONLINEAR, AND NONLOCAL EQUATIONS" through June 30, 2024. The award is being used to fund research activities aligned with the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these scientific fields 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,...
This $124,914 project grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), will fund collaborative research between U.S. and U.K. mathematicians to develop innovative methods for studying stability questions in nonlinear partial differential equations across scales. The University of Texas at Austin will partner with other institutions to conduct research, workshops, and student involvement from August...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $189,955 Project Grant to the University of Connecticut (UConn) to support research on nonlinear models and layer solutions in continuum mechanics and materials science. The award, funded under NSF's Mathematical and Physical Sciences program (CFDA 47.049), will enable UConn researchers to study nonlinear models for smectic A liquid crystals and the symmetry properties of layer solutions to thin film equations....
This three-year $215,251 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at the University of Tennessee to develop techniques in the field of analysis on metric spaces and geometric measure theory. The goals of the research are to relate integral bounds for discrete forms of curvature on non-smooth manifolds with locally Euclidean bi-Lipschitz parameterizations in dimensions greater than or equal to three,...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $204,533 Project Grant to the University of Tennessee, through its Univ Tennessee System Office, to research structure preservation in numerical discretization of partial differential equations with degenerate diffusive behavior. The project aims to develop new numerical methods that preserve the intrinsic mathematical structure of these diffusion-dominated evolution problems, which have applications in areas...
This National Science Foundation (NSF) Division of Mathematical Sciences award provides $213,743 in Project Grant funding to the University of Tennessee, Knoxville for research conducted from August 1, 2023 to July 31, 2026. The project aims to develop highly efficient, positivity-preserving, and entropy-stable numerical schemes for variable-temperature phase field equations with singular energy potentials. This research will enhance understanding of two-phase flows and phase separation in...
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 National Science Foundation project grant of $361,251 will support research at Louisiana State University from July 1, 2022 to June 30, 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The university will investigate novel numerical schemes for least squares problems involving elliptic partial differential equations that model steady state problems in science and engineering. This includes developing finite element methods for least squares problems in data fitting...