On the ferromagnetism equations with large variations solutions
Analysis of PDEs
2016-08-16 v1
Abstract
We exhibit some large variations solutions of the Landau-Lifschitz equations as the exchange coefficient ε^2 tends to zero. These solutions are described by some asymptotic expansions which involve some internals layers by means of some large amplitude fluctuations in a neighborhood of width of order ε of an hypersurface contained in the domain. Despite the nonlinear behaviour of these layers we manage to justify locally in time these asymptotic expansions.
Cite
@article{arxiv.math/0603721,
title = {On the ferromagnetism equations with large variations solutions},
author = {Olivier Guès and Franck Sueur},
journal= {arXiv preprint arXiv:math/0603721},
year = {2016}
}