Summary: Manuscript submitted to Website: http://AIMsciences.org
Volume X, Number 0X, XX 200X pp. XXX
SPIN-POLARIZED TRANSPORT: EXISTENCE OF WEAK
Carlos J. Garc“ia-Cervera
University of California
Santa Barbara, CA 93105, USA
Hong Kong University of Science and Technology
Clear Water Bay, Kowloon, Hong Kong
(Version of August 29, 2006)
Abstract. A system modeling spin-polarized transport in ferromagnetic mul-
tilayers is considered. In this model, the spin accumulation is described by
a quasilinear diffusion equation with discontinuous, measurable coefficients.
This equation is coupled to the Landau-Lifshitz-Gilbert equation, a nonlin-
ear, nonlocal equation describing the precession of the magnetization in the
ferromagnetic layers. The global existence of weak solutions is proved.