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Spin-polarized transport: Existence of weak solutions

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  • A system modeling spin-polarized transport in ferromagnetic multilayers 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 nonlinear, nonlocal equation describing the precession of the magnetization in the ferromagnetic layers. The global existence of weak solutions is proved.
    Mathematics Subject Classification: Primary: 35R05, 58J35; Secondary: 35Q60.


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