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 $583,191 National Science Foundation Division of Mathematical Sciences Project Grant supports research into hydrodynamics of liquid crystals and heat flow of harmonic maps at New York University from June 1, 2023 to May 31, 2026. The principal investigator and their team will conduct interdisciplinary research exploring the Ericksen-Leslie system describing liquid crystal dynamics, singularities in fluid flows and topological defects. They will also investigate geometric variational...
The National Science Foundation (NSF) awarded a $230,111 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to the University of Utah's Office of Sponsored Projects Division. This 3-year grant, effective from July 1, 2024 to June 30, 2027, supports two scientific research threads: (1) fundamental research on liquid crystals, their suspensions, and related applications; and (2) investigations of extreme wave phenomena in photonic devices, with a focus on epsilon near...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $400,000 Project Grant to New York University (NYU) for the period of August 1, 2023 to July 31, 2026. The grant, funded under the Mathematical and Physical Sciences program (CFDA 47.049), focuses on two key areas: Studying geometric evolution equations, specifically mean curvature flow and Ricci flow, with a focus on different aspects of regularity. This research aims to address longstanding open problems at the...
The National Science Foundation (NSF) awarded a $243,527 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to the University of Massachusetts Boston to study how motile bacteria interact with structured liquid crystal interfaces. The goal is to advance understanding of how these interfaces influence the movement and collective behavior of active microbial materials. The research will leverage micromanufacturing techniques to engineer liquid crystal surfaces and...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $219,997 Project Grant to the University of Delaware to conduct research in Hamiltonian formalism applied to wave turbulence problems. The research aims to develop new mathematical models to better understand nonlinear phenomena related to ocean waves, specifically wave-current interactions and wave-structure interactions. Key areas of focus include rogue wave generation, contaminant transport, sediment...
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...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $170,443 Project Grant to the University of Massachusetts Boston (UMass Boston) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in "Critical Symplectic Geometry, Lagrangian Cobordisms, and Stable Homotopy Theory." The project aims to incorporate ideas from homotopy theory and category theory into symplectic geometry to prove structural results about...
Dartmouth College was awarded a $528,743 Project Grant from the National Science Foundation Division of Materials Research under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will fund research from June 2021 through May 2024 to kinetically trap the self-assembly and photophysical properties of liquid crystals. As part of the Mathematical and Physical Sciences program's goal of strengthening the nation's scientific enterprise through increased...
This $340,506 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on the mathematical modeling and numerical simulation of fluids under magnetic forces. Key objectives include: Numerical simulation of liquid crystals in magnetic fields, which are used in LCD displays. Analysis of magnetohydrodynamic turbulence to gain insights into the Earth's magnetic field. Development of algorithms for...