WAVES IN FERROMAGNETIC MEDIA

Autor:	Hans G. Kaper, Thierry Colin, Cédric Galusinski
Rok vydání:	2002
Předmět:	Electromagnetic field Physics Asymptotic analysis Mathematical model Applied Mathematics Mathematical analysis Landau–Lifshitz–Gilbert equation symbols.namesake Maxwell's equations symbols Heat equation Perturbation theory Hyperbolic partial differential equation Analysis Mathematical physics
Zdroj:	Communications in Partial Differential Equations. 27:1625-1658
ISSN:	1532-4133 0360-5302
DOI:	10.1081/pde-120005850
Popis:	It is shown that small perturbations of equilibrium states in ferromagnetic media give rise to standing and traveling waves that are stable for long times. The evolution of the wave profiles is governed by semilinear heat equations. The mathematical model underlying these results consists of the Landau–Lifshitz equation for the magnetization vector and Maxwell's equations for the electromagnetic field variables. The model belongs to a general class of hyperbolic equations for vector-valued functions, whose asymptotic properties are analyzed rigorously. The results are illustrated with numerical examples.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6955d12b0641becf0d56a545a24a4621 https://doi.org/10.1081/pde-120005850 Zobrazit plný text záznamu