Recent progress on Maxwell's equations for a mechano-driven medium system for multi-moving-objects/media

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.