Magnets satisfy the Landau-Lifshitz equation AND the Bloch equation.

Magnets possess distinct contributions to their magnetization. On the one hand, the magneization direction is associated with a quantization axis, and has an associated the equilibrium magnitude M. On the other hand, the excitations -- when the system is out of equilibrium -- are specified by a distribution function with moments that can yield an additional, non-equilibrium magnetization contribution, called the spin accumulation m. This is true for both conductors and insulators. The direction of the quantization axis satisfies the Landau-Lifshitz equation, and with irreversible thermodynamics one can show that the spin accumulation m satisfies a Bloch equation with diffusion. The boundary conditions on the magnetization direction follow from the equations of motion evaluated at the boundaries. The boundary conditions on the spin accumulation m involve the spin flux, and are a generalization of the equation for the bulk spin flux.