Towards a mathematical description of magneto-hydrodynamic turbulence

The project aims to provide a prediction of magneto-hydrodynamic turbulence superior to the existing empirical model approach. Turbulence occurring in high-speed flows of electrically conductive fluid is important in sustaining magnetic fields in various engineering, geophysical, and astrophysical flows. Despite this importance, investigations into magneto-hydrodynamic flows have been limited to slow flows, and the application of the results to the actual problems has been hindered. The anticipated goal is to serve a guide to magneto-hydrodynamic flow control in future energy-generating technology, using a novel combination of theoretical and numerical tools that is mathematically consistent to high-speed limit of the governing equations.