On a Nonlocal Damping Model in Ferromagnetism

الملخص EN

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.