Very regular solution to Landau-Lifshitz system with spin-polarized transport

Abstract

In this paper, we provide a precise description of the compatibility conditions for the initial data so that one can show the existence and uniqueness of regular short-time solution to the Neumann initial-boundary problem of a class of Landau-Lifshitz-Gilbert system with spin-polarized transport, which is a strong nonlinear coupled parabolic system with non-local energy.

References in corpus (5)

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• On Schrödinger Maps
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• Global wellposedness in the energy space for the Maxwell-Schrödinger system
• Global weak solutions for Landau-Lifshitz flows and heat flows associated to micromagnetic energy functional