Divergence of mass current density

[saunderson]

Hi,

i thought a while about the meaning of the following expression

\delta t \, \cdot \, \mathrm{div} \, \vec j_m(\vec r,t) \qquad \mathrm{with} \qquad \vec j_m(\vec r,t) = \rho_m(\vec r,t) \cdot \vec v(\vec r, t)​

Does it indicates the mass, which is produced / annihilated in the Volume \mathrm{d}V located around the position vector \vec r in the short time interval \delta t!?

I'm pretty sure that it was something like this but not entirely.So, thanks for your effort and with best regards...

 

[saunderson]

push!