Abstract for the talk at 10.01.2012 (16:45 h)Oberseminar ANALYSIS
Jens Rademacher (Centrum voor Wiskunde en Informatica, Amsterdam)
Coherent structures in layered nanomagnets with aligned field
As a model for layered nanomagnets with applied current we take Landau-Lifschitz-Gilbert equations with a spin torque term. We study the case of a aligned external field and material anisotropy in one space dimension. The resulting symmetry allows to rather easily prove existence of a large class of coherent structures, which are patterns built up from wavetrains or constant states in analogy to those studied in complex Ginzburg-Landau equations. Moreover, the spectral stability of wavetrains can be completely characterized; wavetrains can lose stability only through a sideband instability. This is joint work with Christoph Melcher (RWTH).