An inverse problems approach to velocity reconstruction from measurements of electromagnetic fields

If a moving electrically conducting fluid is exposed to an external magnetic field electrical currents are induced. These currents give rise
to an additional magnetic field which can be measured outside the fluid volume and to an electric potential measurable at the fluid
boundary. From the viewpoint of inverse problems, we consider the possibility of velocity reconstruction from the measured
electromagnetic fields. Possible applications for a contactless measuring technique are delineated.