Hamdache, K.; Tilioua, M. The Landau–Lifshitz equations and the damping parameter. (English) Zbl 1178.35355 Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 9, No. 2, 283-297 (2006). 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). Cited in 1 Document MSC: 35Q60 PDEs in connection with optics and electromagnetic theory 35K55 Nonlinear parabolic equations PDFBibTeX XMLCite \textit{K. Hamdache} and \textit{M. Tilioua}, Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 9, No. 2, 283--297 (2006; Zbl 1178.35355)