  Maxwell's equations for a mechano-driven media system (MEs-f-MDMS) have been
developed for describing the electromagnetism of multi-slow-moving-media that
may move with acceleration following complex trajectories.The approach starts
from the integral forms of the four physics laws,and is different from the
classical approach of using Lorentz transformation for correlating the
electromagnetic phenomena observed in two inertia reference frames that have a
relative motion. The governing equations inside the moving object/medium are
the MEs-f-MDMS,and those in vacuum are the classical Maxwell's equations;the
full solutions of both meet at the medium surface/interface and satisfy the
boundary conditions. This paper reviews the background, physical principle,and
mathematical derivations for formulating the MEs-f-MDMS. Strategies are also
presented for mathematically solving the MEs-f-MDMS. The unique advances made
by the MEs-f-MDMS have been systematically summarized and their potential
applications in engineering are elaborated. We found that the Lorentz
transformation is perfect for treating the electromagnetic phenomena of moving
point charges in vacuum;but for moving objects,the covariance of the Maxwell's
equations may not hold,and one may have to use MEs-f-MDMS if the moving
velocity is low. Finally,recent advances for treating the boundary conditions
at nano-scale without assuming an abrupt boundary are also reviewed.
