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.
"On a Nonlocal Damping Model in Ferromagnetism." J. Appl. Math. 2015 1 - 5, 2015. https://doi.org/10.1155/2015/317947