Project Grant 2306852
- 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) awarded a $300,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of Texas at Austin. The project, titled "Large Systems of Interacting Particles and Waves and Their Effective Equations," aims to advance mathematical models and develop new ones to understand macroscopic behavior of large quantum systems of interacting particles. The research will focus on analyzing the asymptotic...
- The University of Texas at Austin received a $460,698 Project Grant award from the National Science Foundation Division of Civil, Mechanical, and Manufacturing Innovation. The award is supporting research from August 1, 2021 through July 31, 2024 under the NSF Engineering Program (CFDA 47.041). Specifically, the University is developing data-driven model reduction and real-time estimation and control techniques for coherent structures in turbulent flows. The NSF Engineering Program seeks to...
- This $105,999 National Science Foundation Mathematical and Physical Sciences project grant funds 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 University of Wisconsin-Madison leads the research team in studying challenging problems in fluid dynamics, including shock wave interactions, vortex sheet stability, and vanishing viscosity limits. The project also...
- The National Science Foundation awarded a $441,331 project grant to the University of Texas at Austin under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research across three topics in stochastic analysis from June 2023 through May 2026. The university will examine Kyle models to study information exchange in financial markets, use backward stochastic differential equations to analyze strategic behavior, and investigate dynamics of fluctuations in financial...
- The National Science Foundation (NSF) awarded a $311,780 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the University of Texas at Austin. The grant, with a performance period from July 1, 2025 to June 30, 2028, supports fundamental research on Benjamini-Schramm convergence and generalized dynamical systems. The research aims to better understand the asymptotic local behavior of low-dimensional geometric objects, with potential applications in...
- This $199,998 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on advanced kinetic theory models and their mathematical properties. The project aims to gain a comprehensive mathematical understanding of several complex kinetic models arising in physics, with a specific focus on the quantum Landau equation and the inhomogeneous Landau equation. The research is expected to lead to new insights and...
- This $401,620 Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant will fund theoretical and computational research by the University of Texas at Austin into two key areas: 1) the behavior and characteristics of supersonic cracks in solids, which has implications for understanding earthquake dynamics, and 2) modeling and predicting fingering instabilities in two-phase fluid flow, with...
- This five-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $372,943, will support research investigating mathematical models in geometric calculus of variations and their applications in physics. Funded from June 2023 through May 2028, the award to the University of Texas at Austin will advance basic mathematical research while connecting to natural sciences. Key work includes developing new mathematical tools to study aspects of...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $382,648 to the University of Texas at Austin for research investigating partial differential equations methods in the study of interfaces from July 1, 2022 to June 30, 2025. The award supports research training for graduate students and postdoctoral researchers in two thematic areas: developing mesoscale and macroscopic models...
The University of Texas at Austin received a three-year, $340,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program to develop mathematical tools for studying the stability theory of hyperbolic conservation laws. These laws model physical systems involving shocks or discontinuities in fluid and gas dynamics. The university will investigate the uniform stability of viscous approximations like the Navier-Stokes equation to mitigate shock destabilization. It will also extend the theory of weighted contraction with shifts to obtain new principles and study the inviscid limit of physical viscous models. The university aims to resolve a longstanding conjecture in isentropic flows and reconcile instability and predictability for discontinuous multi-dimensional flows at high Reynolds numbers. The grant will support training opportunities for students and researchers to enhance expertise in modeling, analysis and communication relating to these challenges.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $340.0k | 4/25/23 |