Abstract
This 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.
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Open Access funding enabled and organized by CAUL and its Member Institutions. The authors are supported by the Australian Research Council project DP190101197.
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Communicated by: Jerome Droniou
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An, X., Majee, A.K., Prohl, A. et al. Optimal control for a coupled spin-polarized current and magnetization system. Adv Comput Math 48, 28 (2022). https://doi.org/10.1007/s10444-022-09947-1
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DOI: https://doi.org/10.1007/s10444-022-09947-1