ME-CMSE Professor Mohsen Zayernouri, the director of FMATH group (http://fmath.msu.edu/),has been awarded $650K for two years, effective Jan. 1, 2019, from the US ARO Division of Mathematical Sciences as the MSU-PI of the following ARO/MURI grant:
Fractional PDEs for Conservation Laws and Beyond:
Theory, Numerics, and Applications
This ARO MURI is the vision of a team of researchers from Brown University, Michigan State University, Columbia University, Rice University and University of South Carolina with overlapping interests and complementary expertise on theory, numerical methods, and applications of fractional PDEs (FPDEs). Our overarching goal is the development of a seamless integration of theory and algorithms for data-driven FPDEs, while targeting the common themes of conservation, monotonicity, adaptive refinement and high-order accuracy in the context of simulations of multiphase flows, turbulence, fluid-structure interactions, and solid mechanics. More specifically, we envision a combined mathematical-computational framework where the fractional operators can be constructed based on available data, hence providing model validation for the specific phenomenon but also a problem-based simulation capability that can be scaled to real-life applications.