On a Nonlocal Damping Model in Ferromagnetism. (15th July 2015)

• Record Type: Journal Article
• Authors: Moumni, M.; Tilioua, M.
• Other Names: Wu Wei Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2015(2015)
• Publication Date: 2015-07-15
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2015/317947
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : We consider a mathematical model describing nonlocal damping in magnetization dynamics. The model consists of a modified form of the Landau-Lifshitz-Gilbert (LLG) equation for the evolution of the magnetization vector in a rigid ferromagnet. We give a global existence result and characterize the long time behaviour of the obtained solutions. The sensitivity of the model with respect to large and small nonlocal damping parameters is also discussed.