Modifications of Maxwell´s equations invariant under Galilean transformations

In special relativity, Maxwell´s equations and the Lorentz force law are invariant under the Lorentz transformation. In this investigation, based on the modified Lorentz force law and the local-ether model of wave propagation recently developed, the Galilean-invariant counterparts of the wave equations of potential, the continuity equation, and of the Lorentz gauge are derived. Thereby, we derive the divergence and the curl relations of electric and magnetic fields. These relations have a unique feature of being Galilean invariant and present modifications of Maxwell´s equations.