FLUID MECHANICS: A NEW DISCRETE SOLUTION TO THE UNIDIMENSIONAL CONTINUITY DIFFERENTIAL EQUATION DERIVED FROM THE LAW OF AMP ERE - MAXWELL

It is well-known that we are able to obtain, using the Amp?re-Maxwell Law, a continuity equation that shows the conservation of electric charge. Nowadays, there are already generalized solutions to any quantity that is involved in a continuity equation. However, these solutions use to be supported by non-elementary mathematical formalism. The author will show that it is possible to build an alternative solution to the unidimensional continuity differential equation related to electric charge, where a discrete point of view of electrodynamics will lead us to a unidimensional Navier-Stokes equation for continuity. It turns out that the product between Area and Speed being a constant is successfully obtained by the solution proposed by the author, accordingly with the objectives.