Abstract and Applied Analysis
Volume 2009 (2009), Article ID 603591, 13 pages
doi:10.1155/2009/603591

A two-dimensional Landau-Lifshitz model in studying thin film micromagnetics

Abstract

The paper is concerned with a two-dimensional Landau-Lifshitz equation which was first raised by A. DeSimone and F. Otto, and so fourth, when studying thin film micromagnetics. We get the existence of a local weak solution by approximating it with a higher-order equation. Penalty approximation and semigroup theory are employed to deal with the higher-order equation.