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The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential

The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential

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Prüfsumme: MD5:4a55df1742b65ecb1e2a4dadc9e98854

DREHER, Michael, Johannes SCHNUR, 2014. The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential

@techreport{Dreher2014combi-27502, series={Konstanzer Schriften in Mathematik}, title={The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential}, year={2014}, number={329}, author={Dreher, Michael and Schnur, Johannes} }

Schnur, Johannes 2014-04-09T09:55:01Z 2014 Dreher, Michael 2014-04-09T09:55:01Z eng Schnur, Johannes We investigate the viscous model of quantum hydrodynamics, which describes the charge transport in a certain semiconductor. Quantum mechanical effects lead to third order derivatives, turning the stationary system into an elliptic system of mixed order in the sense of Douglis-Nirenberg. In the case most relevant to applications, the semiconductor device features a piecewise constant barrier potential. In the case of thermodynamic<br />equilibrium, we obtain asymptotic expansions of interfacial layers of the particle density in neighbourhoods of the jump points of this barrier potential, and we present rigorous proofs of uniform estimates of the remainder terms in these asymptotic expansions. Dreher, Michael deposit-license The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential

Dateiabrufe seit 01.10.2014 (Informationen über die Zugriffsstatistik)

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