Where does the (-) sign come from in $\nabla \cdot \vec{J} + \frac{d \rho_v}{dt} = 0$?

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$\begingroup$ Where does the (-) sign come from in $$\nabla \cdot \vec{J} = - \frac{d \rho_v}{dt}~?$$ Starting from $$I = \int_s \vec{J} \cdot d\v ...Read More