Therefore the continuity equation amounts to a conservation of charge.
The previous relation (where we have used the appropriate product rule) is known as the continuity equation.
A continuity equation is the mathematical way to express this kind of statement.
First, there is an issue regarding the continuity equation for electrical charge.
The continuity equation describes how the density changes with time.
The first, conservation of mass, is known in fluid mechanics as the continuity equation.
The continuity equation represents a conservation law, hence the name.
The conservation of charge results in the charge-current continuity equation.
The conservation law of a physical quantity is usually expressed as a continuity equation.
But this is the continuity equation for the current defined by: