Nonlinear Maxwell‐equations in the thin‐film limit

Article type: Research Article

Authors: Jochmann, F.

Affiliations: Technische Universität Berlin, Fakultät II – Mathematik und Naturwissenschaften, Institut für Mathematik, Strasse des 17. Juni 136, 10623 Berlin, Germany

Abstract: This paper is concerned the transient Landau Lifschitz equations for the magnetic moment without exchange interaction coupled with Maxwell's equations as well as the equations for a nonlinear dielectric polarization. The main goals is the thin film limit for very flat domains. In this limit one obtains ordinary differential equations for the magnetic moment and the dielectric polarization respectively.

Keywords: ferromagnetism, nonlinear dielectric polarization, Maxwell's equations, thin‐film limit

Journal: Asymptotic Analysis, vol. 40, no. 3-4, pp. 189-210, 2004