# Interface boundary conditions of superconductor

Are the usual interface conditions for electromagnetic fields, i.e. $$\mathbf{n}_{12}\times(\mathbf{E}_1-\mathbf{E}_2) = 0,$$ $$\mathbf{n}_{12}\bullet(\mathbf{D}_1-\mathbf{D}_2) = \sigma_s,$$ $$\mathbf{n}_{12}\bullet(\mathbf{B}_1-\mathbf{B}_2) = 0,$$ $$\mathbf{n}_{12}\times(\mathbf{H}_1-\mathbf{H}_2) = \mathbf{J}_s,$$ valid at the interface if one of the media is a superconductor? I would assume that they are since they are derived from Maxwell's equations. Is this correct?