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Optimal Control of the Stationary Quantum Drift-Diffusion Model

Type of Publication: Journal article
Publication status: Published
Author: Unterreiter, Andreas; Volkwein, Stefan
Year of publication: 2007
Published in: Communications in Mathematical Sciences ; 5 (2007), 1. - pp. 85-111. - ISSN 1539-6746. - eISSN 1945-0796
DOI (citable link): https://dx.doi.org/10.4310/CMS.2007.v5.n1.a4
Summary:
In this work an optimal control problem for a stationary quantum drift diffusion (QDD) model is analyzed. This QDD model contains four space-dependent observables: The non-negative particle density of electrons, the electrostatic potential, the quantum quasi-Fermi potential and the current density. The goal is to optimize the shape of quantum barriers in a quantum diode. Existence of optimal solutions is proved. Moreover, first-order necessary optimality conditions are derived.
Subject (DDC): 510 Mathematics
Keywords: Optimal control; quantum drift diffusion model; optimality conditions

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UNTERREITER, Andreas, Stefan VOLKWEIN, 2007. Optimal Control of the Stationary Quantum Drift-Diffusion Model. In: Communications in Mathematical Sciences. 5(1), pp. 85-111. ISSN 1539-6746. eISSN 1945-0796. Available under: doi: 10.4310/CMS.2007.v5.n1.a4

@article{Unterreiter2007Optim-41199, title={Optimal Control of the Stationary Quantum Drift-Diffusion Model}, year={2007}, doi={10.4310/CMS.2007.v5.n1.a4}, number={1}, volume={5}, issn={1539-6746}, journal={Communications in Mathematical Sciences}, pages={85--111}, author={Unterreiter, Andreas and Volkwein, Stefan} }

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