[en] In this paper the authors analyze the time evolution of a tokamak plasma after the failure of the vertical control system. In this case, the plasma eventually touches the conducting wall and gives rise to currents which flow partly in the wall, partly in the plasma. They show how, under simplifying assumptions, the problem can be analyzed by means of pure electromagnetic formulations. After a brief review of the state of the art in the analysis of this phenomenon, they propose and discuss three alternative Eulerian approaches: an evolutionary equilibrium formulation, a convection-diffusion model and a 3D error-based approach