Remark on Maxwell’s divergence equations Available to Purchase

The divergence equations in Maxwell’s theory are Gauss law and the statement that magnetic monopoles do not exist; from this point of view these two equations are fundamental. However, from a practical point of view, it is generally believed that Maxwell’s divergence equations are redundant and may be ignored provided that they are satisfied at some time t‐0. It has been proved recently that this idea is not correct for boundary‐initial value problems. To make mathematical arguments more accessible, we analyse here the role of the divergence equations in the framework of 2D‐electromagnetism.