The fundamental electro-magnetic equations of Maxwell for stationary media are:—
curl H = 1/c (∂D/∂t + ρν) (1)
curl E = -1/c ∂B/∂t (2)
div D = ρ
B = μH
div B = 0
D = kE
According to Hertz and Heaviside, these require modification in the case of moving bodies.
Now it is known that due to motion alone there is a change in a vector R given by
(∂R/∂t) due to motion = u. div R + curl [Ru]