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The Landau–Lifshitz equations and the damping parameter. (English) Zbl 1178.35355

Summary: The present paper is particularly devoted to the damping effect in ferromagnetic materials. We are interested in determining the sensitivity of the LLG method solution to the phenomenological damping parameter \(a\). We discuss the behaviour of the global weak solutions with finite energy of the Landau–Lifshitz equations when the damping parameter \(a\) tends either to 0 (underdamped case) or \(+\infty\) (overdamped case).

MSC:

35Q60 PDEs in connection with optics and electromagnetic theory
35K55 Nonlinear parabolic equations
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