The MURI Project
The ARO MURI project on Fractional Partial Differential Equations seeks to address the common physical themes of anomalous transport, exponentially accelerated fronts, non-Markovian behavior and long-range interactions, self-similarity and scaling, singular behavior, interfaces, and finite-domain decorrelation effects.
In addition, investigators will develop rigorous mathematical theory, algorithms, and software for data-driven fractional PDEs that will provide significant breakthroughs toward modeling, analyzing, and subsequently controlling complex multiscale systems characterized by the aforementioned phenomena in a computationally scalable way.
This project will demonstrate the physical relevance and effectiveness of our framework in diverse applications of interest to the Department of Defense, characterized by the common themes of conservation, monotonicity, adaptive refinement, and high-order accuracy.
Principal Investigators:
- George Em Karniadakis, Brown University
- Mark Ainsworth, Brown University
- Qiang Du, Columbia University
- Mark Meerschaert, Michigan State University
- Mohsen Zayernouri, Michigan State University
- Pol Spanos, Rice University
- Hong Wang, University of South Carolina