2D-1D DIMENSIONAL REDUCTION IN A TOY MODEL FOR MAGNETOELASTIC INTERACTIONS

摘要

The paper deals with the dimensional reduction from 2D to ID in magnetoe-lastic interactions. We adopt a simplified, but nontrivial model described by the Landau-Lifshitz-Gilbert equation for the magnetization field coupled to an evolution equation for the displacement. We identify the limit problem by using the so-called energy method.