\begin{align*}
\nabla \cdot \vec E  &= \frac{\rho}{\varepsilon_0}                & \text{Gauss's law} \\
\nabla \cdot \vec B  &= 0                                         & \text{Gauss's law for magnetism} \\
\nabla \times \vec E &= -\frac{\partial \vec B}{\partial t}       & \text{Faraday's law} \\
\nabla \times \vec B &= \mu_0 \left(\vec J + \varepsilon_0 
                        \frac{\partial \vec E}{\partial t}\right) & \text{Ampère\textendash Maxwell law}
\end{align*}