Project Grant 2443774
- This $138,732 National Science Foundation Division of Mathematical Sciences Project Grant supports research into instability, chaos, and mixing in stochastic fluid mechanics and related models at Tulane University from August 1, 2022 to July 31, 2025. The research aims to develop mathematical tools to rigorously prove exponential sensitivity to initial conditions for various fluid mechanics models in the presence of small noise, gaining new insights into the unstable nature of fluid motion and...
- This federal Project Grant award for $200,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on small-scale dynamics in fluid mechanics. The principal investigator will work to build mathematical foundations for understanding complex fluid phenomena like boundary layers, turbulence, and wave-fluid interactions, which are crucial for applications ranging from vehicle design to weather modeling. The research aims to provide...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000 to Duke University to conduct research on fundamental aspects of incompressible fluid dynamics. The key research directions include investigating the formation of singularities in incompressible fluids, studying steady solutions to the Euler equation, and understanding fluid mixing phenomena. This research aims to advance scientific knowledge on the...
- This $204,884 Project Grant award from the National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences (CFDA 47.049) supports research by Towson University to study various subgrid scale turbulence models and their connections to the Navier-Stokes equations. The research aims to explore the mathematical properties of these turbulence models, apply data assimilation algorithms, and leverage deep learning methods for parameter estimation. Key focus areas include...
- This Project Grant award of $224,733.00 from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program supports research on the characterization and stability of boundary layers and hydrodynamic stability within the Navier-Stokes equations. The research aims to develop a systematic theory to address the mathematical challenges posed by multiscale phenomena, mixed-type phenomena, and singular perturbations in fluid dynamics. The...
- This Project Grant award of $300,000.00 from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research to study potential singularities in the Navier-Stokes equations, which describe the motion of fluids. The principal investigator at the California Institute of Technology (Caltech) will develop a novel mathematical and computational approach to uncover mechanisms that could lead to singularity formation in the 3D Navier-Stokes...
- This Project Grant award for $257,457 from the National Science Foundation (NSF) Division of Mathematical Sciences supports research by the University of Alabama at Birmingham (UAB) to investigate three key problems in fluid mechanics. The overarching objective is to utilize a novel mathematical framework developed by the Principal Investigator to study the spatial intermittency of turbulent flows, which is critical for understanding phenomena like vortex structures in turbulence. The three...
- The National Science Foundation (NSF) awarded a $210,000 project grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the University of Arkansas, Fayetteville Division to conduct research on "Robust and Efficient High-Order Algorithms for Fluid Dynamics Simulations: Structure-Preserving Methods and Optimization-Based Limiters." The project will explore the development of high-order accurate, structure-preserving numerical methods for the...
- The National Science Foundation (NSF) awarded a $199,626 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to Tulane University for the project "MULTISCALE RANDOM MATRICES, INFERENCE AND LEARNING IN HIGH DIMENSIONS". The project aims to develop new methodologies for analyzing complex, high-dimensional data in areas such as genomics, astrophysics, and brain dynamics modeling. The research team, comprised of collaborators from the U.S. and...
- This National Science Foundation (NSF) Project Grant award, provided under the Mathematical and Physical Sciences program (CFDA 47.049), supports research focused on understanding regular and singular incompressible fluid flows. The $300,000 award, granted from August 1, 2024 to July 31, 2027, aims to advance the mathematical understanding of solutions to the incompressible Navier-Stokes and Euler equations, particularly in the areas of regularity, uniqueness, and stability. The project...
This $304,601 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) supports research on the "Dynamical Aspects of Random Fluid Motion" at Tulane University. The project aims to develop new mathematical tools and techniques for analyzing the influence of random fluctuations on fluid behavior, including mixing properties and chaotic/unstable phenomena like turbulence. The research focuses on two interconnected themes: (1) a microlocal approach to studying mixing by random velocities using pseudodifferential operators, and (2) advancing methods for analyzing Lyapunov exponents in infinite-dimensional stochastic systems. Expected outcomes include an enhanced understanding of mixing and transport in fluid systems that can lead to new discoveries. This 5-year project is set to commence on Sep 1, 2025 and conclude on Aug 31, 2030.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $47.6k | 9/8/25 | ||
| Not listed | $257.0k | 7/17/25 |