This issuePrevious ArticleSingular evolution on maniforlds, their smoothing properties, and soboleve inequalitiesNext ArticleSecond order optimality conditions with applications
Landau-Lifschitz-Gilbert equation with applied eletric current
In this paper, we are concerned with a model of electric current
effect in ferromagnetic materials, that is Landau-Lifschitz equation adding a transport term. We prove classical existence theorem in the general three dimensional case, and we justify a one dimensional approximation for wich we have the explicit behavior of the magnetisation.