Electronic Journal of Differential Equations, Vol. 2003(2003), No. 91, pp. 1-5. Title: The Eddy current problem with temperature dependent permeability Author: Giovanni Cimatti (Univ. of Pisa, Italy) Abstract: We prove the uniqueness and existence of a local solution in time for a system of PDE's modelling the eddy currents and the heating of a cylindrical conductor. Submitted June 17, 2003. Published September 8, 2003. Math Subject Classifications: 78A30, 35K50. Key Words: Eddy currents; parabolic nonlinear system; temperature; permeability.