Author:
An Xin,Majee Ananta K.,Prohl Andreas,Tran Thanh
Abstract
AbstractThis paper is devoted to an optimal control problem of a coupled spin drift-diffusion Landau–Lifshitz–Gilbert system describing the interplay of magnetization and spin accumulation in magnetic-nonmagnetic multilayer structures, where the control is given by the electric current density. A variational approach is used to prove the existence of an optimal control. The first-order necessary optimality system for the optimal solution is derived in one space-dimension via Lagrange multiplier method. Numerical examples are reported to validate the theoretical findings.
Funder
University of New South Wales
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
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